AIEEE 2005

Paper was held on
Thu, Apr 28, 2005 9:30 AM

## Chemistry

Two solutions of a substance (non electrolyte) are mixed in the following manner. 480 ml of 1.5 M first solution + 520 m

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If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of

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Of the following sets which one does NOT contain isoelectronic species?

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In a multi-electron atom, which of the following orbitals described by the three quantum members will have the same ener

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Which of the following oxides is amphoteric in character?

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In which of the following arrangements the order is NOT according to the property
indicated against it?

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Lattice energy of an ionic compounds depends upon

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Which one of the following statements is NOT true about the effect of an increase in
temperature on the distribution of

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Consider the reaction: N2 + 3H2 $$\to$$ 2NH3 carried out at constant temperature and
pressure. If $$\Delta H$$ and $$\De

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If the bond dissociation energies of XY, X2 and Y2 (all diatomic molecules) are in the ratio of 1:1:0.5 and $$\Delta H_f

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Consider an endothermic reaction, X $$\to$$ Y with the activation energies Eb and Ef
for the backward and forward reacti

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If $$\alpha$$ is the degree of dissociation of Na2SO4, the vant Hoff’s factor (i) used for
calculating the molecular mas

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The solubility product of a salt having general formula MX2, in water is: 4 $$\times$$ 10-12 . The
concentration of M2+

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The exothermic formation of ClF3 is represented by the equation:
Cl2 (g) + 3F2 (g) $$\leftrightharpoons$$ 2ClF3 (g); $$

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For the reaction
2NO2 (g) $$\leftrightharpoons$$ 2NO (g) + O2 (g), (Kc = 1.8 $$\times$$ 10-6 at 184oC) (R = 0.0831 kJ/(m

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What is the conjugate base of OH-?

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Hydrogen ion concentration in mol / L in a solution of pH = 5.4 will be :

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An amount of solid NH4HS is placed in a flask already containing ammonia gas at a
certain temperature and 0.50 atm. Pres

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Which one of the following species is diamagnetic in nature?

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Based on lattice energy and other considerations which one of the following alkali
metal chlorides is expected to have t

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Which of the following statements in relation to the hydrogen atom is correct?

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Due to the presence of an unpaired electron, free radicals are:

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Reaction of one molecule of HBr with one molecule of 1,3-butadiene at 40oC gives
predominantly

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Of the five isomeric hexanes, the isomer which can give two monochlorinated
compounds is

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2 methylbutane on reacting with bromine in the presence of sunlight gives mainly

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Acid catalyzed hydration of alkenes except ethene leads to the formation of

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Which types of isomerism is shown by 2,3-dichlorobutane?

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The volume of a colloidal particle, VC as compared to the volume of a solute particle
in a true solution VS, could be

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The disperse phase in colloidal iron (III) hydroxide and colloidal gold is positively and
negatively charged, respective

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An ionic compound has a unit cell consisting of A ions at the corners of a cube and B
ions on the centres of the faces o

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Benzene and toluene form nearly ideal solutions. At 20 oC, the vapour pressure of
benzene is 75 torr and that of toluene

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Equimolar solutions in the same solvent have

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For a spontaneous reaction the ∆G , equilibrium constant (K) and $$E_{cell}^o$$ will be respectively

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Aluminium oxide may be electrolysed at 1000oC to furnish aluminium metal (Atomic
mass = 27 amu; 1 Faraday = 96,500 Coulo

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The highest electrical conductivity of the following aqueous solutions is of :

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Hydrogen bomb is based on the principle of

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A reaction involving two different reactants can never be

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The photon of hard gamma radiation knocks a proton out of $${}_{12}^{24}Mg$$ nucleus to form

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t1/4 can be taken as the time taken for the concentration of a reactant to drop to $$3 \over 4$$ of its initial value. I

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During the process of electrolytic refining of copper, some metals present as impurity
settle as ‘anode mud’ These are

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The correct order of the thermal stability of hydrogen halides (H – X) is :

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The number of hydrogen atom(s) attached to phosphorus atom in hypophosphorous
acid is :

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Heating an aqueous solution of aluminium chloride to dryness will give :

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In silicon dioxide

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The structure of diborane (B2H6) contains :

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The lanthanide contraction is responsible for the fact that :

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Which of the following factors may be regarded as the main cause of lanthanide
contraction?

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The IUPAC name of the coordination compound K3[Fe(CN)6] is

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The oxidation state of Cr in [Cr(NH3)4Cl2]+ is :

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Which of the following compounds shows optical isomerism?

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The value of the ‘spin only’ magnetic moment for one of the following configurations
is 2.84 BM. The correct one is :

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Which one of the following cyano complexes would exhibit the lowest value of
paramagnetic behaviour?
(At. No. Cr = 24,

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Tertiary alkyl halides are practically inert to substitution by SN2 mechanism because of

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Elimination of bromine from 2-bromobutane results in the formation of-

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Alkyl halides react with dialkyl copper reagents to give

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The best reagent to convert pent -3- en-2-ol into pent -3-en-2-one is

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Among the following acids which has the lowest pKa value?

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Reaction of cyclohexanone with dimethylamine in the presence of catalytic amount of
an acid forms a compound if water du

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Amongst the following the most basic compound is

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Which one of the following methods is neither meant for the synthesis nor for
separation of amines?

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An organic compound having molecular mass 60 is found to contain C = 20%, H =
6.67% and N = 46.67% while rest is oxygen.

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Which of the following is a polyamide?

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Which one of the following types of drugs reduces fever?

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In both DNA and RNA, heterocyclic base and phosphate ester linkages are at-

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Which of the following is fully fluorinated polymer?

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The decreasing order of nucleophilicity among the nucleophiles

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The reaction
is fastest when $$X$$ is

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A schematic plot of $$ln$$ $${K_{eq}}$$ versus inverse of temperature for a reaction is shown below
The reaction must

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$$p$$-cresol reacts with chloroform in alkaline medium to give the compound A which adds hydrogen cyanide to form, the c

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The oxidation state of chromium in the final product formed the reaction between $$K{\rm I}$$ and acidified potassium di

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On heating mixture of $$C{u_2}O$$ and $$C{u_2}S$$ will give :

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Calomel $$\left( {H{g_2}C{l_2}} \right)$$ on reaction with ammonium hydroxide gives :

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Pick out the isoelectronic structure from the following :
$$\eqalign{
& \left( i \right)\,\,\,\,\,\,C{H_3}^ + \

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## Mathematics

If $${z_1}$$ and $${z_2}$$ are two non-zero complex numbers such that $$\,\left| {{z_1} + {z_2}} \right| = \left| {{z_1}

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If the cube roots of unity are 1, $$\omega \,,\,{\omega ^2}$$ then the roots of the equation $${(x - 1)^3}$$ + 8 = 0, ar

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If $$\,\omega = {z \over {z - {1 \over 3}i}}\,$$ and $$\left| \omega \right| = 1$$, then $$z$$ lies on :

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In a triangle $$PQR,\;\;\angle R = {\pi \over 2}.\,\,If\,\,\tan \,\left( {{P \over 2}} \right)$$ and $$ \tan \left( {{Q

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If both the roots of the quadratic equation $${x^2} - 2kx + {k^2} + k - 5 = 0$$ are less than 5, then $$k$$ lies in the

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If the letter of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, the

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The value of $$\,{}^{50}{C_4} + \sum\limits_{r = 1}^6 {^{56 - r}} {C_3}$$ is

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If $$A = \left[ {\matrix{
1 & 0 \cr
1 & 1 \cr
} } \right]$$ and $$I = \left[ {\matrix{
1 & 0

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If the coefficient of $${x^7}$$ in $${\left[ {a{x^2} + \left( {{1 \over {bx}}} \right)} \right]^{11}}$$ equals the coe

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If $$x$$ is so small that $${x^3}$$ and higher powers of $$x$$ may be neglected, then $${{{{\left( {1 + x} \right)}^{{3

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If the coefficients of rth, (r+1)th, and (r + 2)th terms in the binomial expansion of $${{\rm{(1 + y )}}^m}$$ are in A

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If $$x = \sum\limits_{n = 0}^\infty {{a^n},\,\,y = \sum\limits_{n = 0}^\infty {{b^n},\,\,z = \sum\limits_{n = 0}^\inft

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The sum of the series $$1 + {1 \over {4.2!}} + {1 \over {16.4!}} + {1 \over {64.6!}} + .......$$ ad inf. is

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The line parallel to the $$x$$ - axis and passing through the intersection of the lines $$ax + 2by + 3b = 0$$ and $$bx -

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If a vertex of a triangle is $$(1, 1)$$ and the mid points of two sides through this vertex are $$(-1, 2)$$ and $$(3, 2)

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A circle touches the x-axis and also touches the circle with centre at (0, 3) and radius 2. The locus of the centre of t

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If a circle passes through the point (a, b) and cuts the circle $${x^2}\, + \,{y^2} = {p^2}$$ orthogonally, then the equ

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If the circles $${x^2}\, + \,{y^2} + \,2ax\, + \,cy\, + a\,\, = 0$$ and $${x^2}\, + \,{y^2} - \,3ax\, + \,dy\, - 1\,\, =

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If the pair of lines $$a{x^2} + 2\left( {a + b} \right)xy + b{y^2} = 0$$ lie along diameters of a circle and divide the

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An ellipse has $$OB$$ as semi minor axis, $$F$$ and $$F$$' its focii and theangle $$FBF$$' is a right angle. Then the ec

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The locus of a point $$P\left( {\alpha ,\beta } \right)$$ moving under the condition that the line $$y = \alpha x + \bet

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Let $$P$$ be the point $$(1, 0)$$ and $$Q$$ a point on the parabola $${y^2} = 8x$$. The locus of mid point of $$PQ$$ is

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The value of $$a$$ for which the sum of the squares of the roots of the equation $${x^2} - \left( {a - 2} \right)x - a -

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Let $$f:R \to R$$ be a differentiable function having $$f\left( 2 \right) = 6$$,
$$f'\left( 2 \right) = \left( {{1 \o

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If the roots of the equation $${x^2} - bx + c = 0$$ be two consecutive integers, then $${b^2} - 4c$$ equals

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If in a $$\Delta ABC$$, the altitudes from the vertices $$A, B, C$$ on opposite sides are in H.P, then $$\sin A,\sin B,\

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In a triangle $$ABC$$, let $$\angle C = {\pi \over 2}$$. If $$r$$ is the inradius and $$R$$ is the circumradius of the

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If $${\cos ^{ - 1}}x - {\cos ^{ - 1}}{y \over 2} = \alpha ,$$ then $$4{x^2} - 4xy\cos \alpha + {y^2}$$ is equal to :

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Area of the greatest rectangle that can be inscribed in the
ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}}

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The normal to the curve
$$x = a\left( {\cos \theta + \theta \sin \theta } \right),y = a\left( {\sin \theta - \theta \

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A spherical iron ball $$10$$ cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of $$5

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If the equation $${a_n}{x^n} + {a_{n - 1}}{x^{n - 1}} + ........... + {a_1}x = 0$$
$${a_1} \ne 0,n \ge 2,$$ has a positi

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If $${A^2} - A + 1 = 0$$, then the inverse of $$A$$ is :

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The system of equations
$$\matrix{
{\alpha \,x + y + z = \alpha - 1} \cr
{x + \alpha y + z = \alpha - 1} \cr

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If $${a_1},{a_2},{a_3},........,{a_n},.....$$ are in G.P., then the determinant
$$$\Delta = \left| {\matrix{
{\log {

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If $${a^2} + {b^2} + {c^2} = - 2$$ and
f$$\left( x \right) = \left| {\matrix{
{1 + {a^2}x} & {\left( {1 + {b^2}

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$$\int {{{\left\{ {{{\left( {\log x - 1} \right)} \over {1 + {{\left( {\log x} \right)}^2}}}} \right\}}^2}\,\,dx} $$ is

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If $${I_1} = \int\limits_0^1 {{2^{{x^2}}}dx,{I_2} = \int\limits_0^1 {{2^{{x^3}}}dx,\,{I_3} = \int\limits_1^2 {{2^{{x^2}}

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The area enclosed between the curve $$y = {\log _e}\left( {x + e} \right)$$ and the coordinate axes is :

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The parabolas $${y^2} = 4x$$ and $${x^2} = 4y$$ divide the square region bounded by the lines $$x=4,$$ $$y=4$$ and the c

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Let $$f(x)$$ be a non - negative continuous function such that the area bounded by the curve $$y=f(x),$$ $$x$$-axis and

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The value of $$\int\limits_{ - \pi }^\pi {{{{{\cos }^2}} \over {1 + {a^x}}}dx,\,\,a > 0,} $$ is

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The value of integral, $$\int\limits_3^6 {{{\sqrt x } \over {\sqrt {9 - x} + \sqrt x }}} dx $$ is

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The differential equation representing the family of curves $${y^2} = 2c\left( {x + \sqrt c } \right),$$ where $$c>0,

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If $$x{{dy} \over {dx}} = y\left( {\log y - \log x + 1} \right),$$ then the solution of the equation is :

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Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consult

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A random variable $$X$$ has Poisson distribution with mean $$2$$.
Then $$P\left( {X > 1.5} \right)$$ equals :

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Let $$A$$ and $$B$$ two events such that $$P\left( {\overline {A \cup B} } \right) = {1 \over 6},$$ $$P\left( {A \cap B}

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If the angel $$\theta $$ between the line $${{x + 1} \over 1} = {{y - 1} \over 2} = {{z - 2} \over 2}$$ and
the plane $

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If $$C$$ is the mid point of $$AB$$ and $$P$$ is any point outside $$AB,$$ then :

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Let $$a, b$$ and $$c$$ be distinct non-negative numbers. If the vectors $$a\widehat i + a\widehat j + c\widehat k,\,\,\w

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If the plane $$2ax-3ay+4az+6=0$$ passes through the midpoint of the line joining the centres of the spheres
$${x^2} + {

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The distance between the line
$$\overrightarrow r = 2\widehat i - 2\widehat j + 3\widehat k + \lambda \left( {i - j +

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The angle between the lines $$2x=3y=-z$$ and $$6x=-y=-4z$$ is :

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If $$\overrightarrow a ,\overrightarrow b ,\overrightarrow c $$ are non coplanar vectors and $$\lambda $$ is a real numb

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For any vector $${\overrightarrow a }$$ , the value of $${\left( {\overrightarrow a \times \widehat i} \right)^2} + {\

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Let $$\overrightarrow a \,\, = \,\,\widehat i - \widehat k,\,\,\,\,\,\overrightarrow b \,\,\, = \,\,\,x\widehat i + \wid

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If non zero numbers $$a, b, c$$ are in $$H.P.,$$ then the straight line $${x \over a} + {y \over b} + {1 \over c} = 0$$

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The plane $$x+2y-z=4$$ cuts the sphere $${x^2} + {y^2} + {z^2} - x + z - 2 = 0$$ in a circle of radius

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Let $$f:( - 1,1) \to B$$, be a function defined by
$$f\left( x \right) = {\tan ^{ - 1}}{{2x} \over {1 - {x^2}}}$$,
then

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A real valued function f(x) satisfies the functional equation
f(x - y) = f(x)f(y) - f(a - x)f(a + y)
where a is given co

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A function is matched below against an interval where it is supposed to be
increasing. Which of the following pairs is i

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$$\mathop {\lim }\limits_{n \to \infty } \left[ {{1 \over {{n^2}}}{{\sec }^2}{1 \over {{n^2}}} + {2 \over {{n^2}}}{{\sec

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Suppose $$f(x)$$ is differentiable at x = 1 and
$$\mathop {\lim }\limits_{h \to 0} {1 \over h}f\left( {1 + h} \right) =

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Let $$\alpha$$ and $$\beta$$ be the distinct roots of $$a{x^2} + bx + c = 0$$, then
$$\mathop {\lim }\limits_{x \to \alp

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Let f be differentiable for all x. If f(1) = -2 and f'(x) $$ \ge $$ 2 for
x $$ \in \left[ {1,6} \right]$$, then

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If $$f$$ is a real valued differentiable function satisfying
$$\left| {f\left( x \right) - f\left( y \right)} \right|$$

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If in a frequency distribution, the mean and median are 21 and 22 respectively, then
its mode is approximately :

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Let x1, x2,...........,xn be n observations such that
$$\sum {x_i^2} = 400$$ and $$\sum {{x_i}} = 80$$. Then a
possibl

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If the roots of the equation $${x^2} - bx + c = 0$$ be two consecutive integers, then $${b^2} - 4c$$ equals

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The value of $$a$$ for which the sum of the squares of the roots of the equation $${x^2} - \left( {a - 2} \right)x - a

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Let $R=\{(3,3),(6,6),(9,9),(12,12),(6,12)$, $(3,9),(3,12),(3,6)\}$ be a relation on the set $A=\{3,6,9,12\}$. The relati

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A lizard, at an initial distance of 21 cm behind an insect moves from rest with an acceleration of $2 \mathrm{~cm} / \ma

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## Physics

Out of the following pair, which one does NOT have identical dimensions is

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A car starting from rest accelerates at the rate f through a distance S, then continues
at constant speed for time t and

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The relation between time t and distance x is t = ax2 + bx where a and b are constants.
The acceleration is

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A particle is moving eastwards with a velocity of 5 m/s. In 10 seconds the velocity
changes to 5 m/s northwards. The ave

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A parachutist after bailing out falls $$50$$ $$m$$ without friction. When parachute opens, it decelerates at $$2\,\,m/{

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A bullet fired into a fixed target loses half of its velocity after penetrating $$3$$ $$cm.$$ How much further it will p

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A smooth block is released at rest on a $${45^ \circ }$$ incline and then slides a distance $$'d'$$. The time taken to s

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A particle of mass 0.3 kg subjected to a force $$F=-kx$$ with $$k=15$$ $$N/m$$. What will be its initial acceleration if

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Consider a car moving on a straight road with a speed of $$100$$ $$m/s$$. The distance at which car can be stopped is $$

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An annular ring with inner and outer radii $${R_1}$$ and $${R_2}$$ is rolling without slipping with a uniform angular sp

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The upper half of an inclined plane with inclination $$\phi $$ is perfectly smooth while the lower half is rough. A body

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A body of mass $$m$$ is accelerated uniformly from rest to a speed $$v$$ in a time $$T.$$ The instantaneous power delive

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A spherical ball of mass $$20$$ $$kg$$ is stationary at the top of a hill of height $$100$$ $$m$$. It rolls down a smoo

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The moment of inertia of a uniform semicircular disc of mass $$M$$ and radius $$r$$ about a line perpendicular to the pl

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A body $$A$$ of mass $$M$$ while falling vertically downloads under gravity breaks into two-parts; a body $$B$$ of mass

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A particle of mass $$10$$ $$g$$ is kept on the surface of a uniform sphere of mass $$100$$ $$kg$$ and radius $$10$$ $$cm

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The change in the value of $$g$$ at a height $$h$$ above the surface of the earth is the same as at a depth $$d$$ below

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Average density of the earth

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If $$S$$ is stress and $$Y$$ is young's modulus of material of a wire, the energy stored in the wire per unit volume is

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A $$20$$ $$cm$$ long capillary tube is dipped in water. The water rises up to $$8$$ $$cm.$$ If the entire arrangement is

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A block is kept on a frictionless inclined surface with angle of inclination $$'\,\alpha \,'.$$ The incline is given an

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The block of mass $$M$$ moving on the frictionless horizontal surface collides with the spring of spring constant $$k$$

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A mass $$'m'$$ moves with a velocity $$'v'$$ and collides inelastically with another identical mass. After collision the

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A gaseous mixture consists of $$16$$ $$g$$ of helium and $$16$$ $$g$$ of oxygen. The ratio $${{Cp} \over {{C_v}}}$$ of t

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Which of the following is incorrect regarding the first law of thermodynamics?

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A T shaped object with dimensions shown in the figure, is lying on a smooth floor. A force $$'\,\,\overrightarrow F \,\,

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A system goes from $$A$$ to $$B$$ via two processes $$I$$ and $$II$$ as shown in figure. If $$\Delta {U_1}$$ and $$\Delt

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The figure shows a system of two concentric spheres of radii $${r_1}$$ and $${r_2}$$ are kept at temperatures $${T_1}$$

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The temperature-entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is

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The function $${\sin ^2}\left( {\omega t} \right)$$ represents

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Two simple harmonic motions are represented by the equations $${y_1} = 0.1\,\sin \left( {100\pi t + {\pi \over 3}} \rig

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The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscilla

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If a simple harmonic motion is represented by $${{{d^2}x} \over {d{t^2}}} + \alpha x = 0.$$ its time period is

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When two tuning forks (fork $$1$$ and fork $$2$$) are sounded simultaneously, $$4$$ beats per second are heated. Now, so

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An observer moves towards a stationary source of sound, with a velocity one-fifth of the velocity of sound. What is the

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Two point charges $$+8q$$ and $$-2q$$ are located at $$x=0$$ and $$x=L$$ respectively. The location of a point on the $$

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A parallel plate capacitor is made by stacking $$n$$ equally spaced plates connected alternatively. If the capacitance b

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Two thin wire rings each having a radius $$R$$ are placed at a distance $$d$$ apart with their axes coinciding. The char

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A charged ball $$B$$ hangs from a silk thread $$S,$$ which makes angle $$\theta $$ with a large charged conducting sheet

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A fully charged capacitor has a capacitance $$'C'$$. It is discharged through a small coil of resistance wire embedded i

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Two thin, long, parallel wires, separated by a distance $$'d'$$ carry a current of $$'i'$$ $$A$$ in the same direction.

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A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be

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In the circuit, the galvanometer $$G$$ shows zero deflection. If the batteries $$A$$ and $$B$$ have negligible internal

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Two voltmeters, one of copper and another of silver, are joined in parallel. When a total charge $$q$$ flows through the

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Two sources of equal $$emf$$ are connected to an external resistance $$R.$$ The internal resistance of the two sources

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A moving coil galvanometer has $$150$$ equal divisions. Its current sensitivity is $$10$$- divisions per milliampere and

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The resistance of hot tungsten filament is about $$10$$ times the cold resistance. What will be resistance of $$100$$ $$

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In a potentiometer experiment the balancing with a cell is at length $$240$$ $$cm.$$ On shunting the cell with a resist

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An energy source will supply a constant current into the load if its internal resistance is

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Two concentric coils each of radius equal to $$2$$ $$\pi $$ $$cm$$ are placed at right angles to each other. $$3$$ ampe

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A magnetic needle is kept in a non-uniform magnetic field. It experiences :

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A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an ele

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A charged particle of mass $$m$$ and charge $$q$$ travels on a circular path of radius $$r$$ that is perpendicular to a

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The self inductance of the motor of an electric fan is $$10$$ $$H$$. In order to impart maximum power at $$50$$ $$Hz$$,

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A coil of inductance $$300$$ $$mH$$ and resistance $$2\,\Omega $$ is connected to a source of voltage $$2$$ $$V$$. The c

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A circuit has a resistance of $$12$$ $$ohm$$ and an impedance of $$15$$ $$ohm$$. The power factor of the circuit will be

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The phase difference between the alternating current and $$emf$$ is $${\pi \over 2}.$$ Which of the following cannot be

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A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of w

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Two point white dots are $$1$$ $$mm$$ apart on a black paper. They are viewed by eye of pupil diameter $$3$$ $$mm.$$ App

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A Young's double slit experiment uses a monochromatic source. The shape of the interference fringes formed on a screen

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A thin glass (refractive index $$1.5$$) lens has optical power of $$-5$$ $$D$$ in air. Its optical power in a liquid med

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If $${I_0}$$ is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its int

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When an unpolarized light of intensity $${{I_0}}$$ is incident on a polarizing sheet, the intensity of the light which d

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One conducting $$U$$ tube can slide inside another as shown in figure, maintaining electrical contacts between the tubes

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If radius of the $$\matrix{
{27} \cr
{13} \cr
} $$ $$Al$$ nucleus is estimated to be $$3.6$$ fermi then the

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Starting with a sample of pure $${}^{66}Cu,{7 \over 8}$$ of it decays into $$Zn$$ in $$15$$ minutes. The corresponding h

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The electrical conductivity of a semiconductor increases when electromagnetic radiation of wavelength shorter than $$248

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The intensity of gamma radiation from a given source is $$L$$. On passing through $$36$$ $$mm$$ of lead, it is reduced t

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If the kinetic energy of a free electron doubles, it's deBroglie wavelength changes by the factor

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A photocell is illuminated by a small bright source placed $$1$$ $$m$$ away. When the same source of light is placed $${

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In a full wave rectifier circuit operating from $$50$$ $$Hz$$ mains frequency, the fundamental frequency in the ripple w

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A nuclear transformation is denoted by $$X\left( {n,\alpha } \right)\matrix{
7 \cr
3 \cr
} Li.$$ Which of th

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In a common base amplifier, the phase difference between the input signal voltage and output voltage is

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The diagram shows the energy levels for an electron in a certain atom. Which transition shown represents the emission of

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