AIEEE 2003

Paper was held on
Sat, Apr 26, 2003 9:30 AM

## Chemistry

What volume of hydrogen gas at 273 K and 1 atm pressure will be consumed in obtaining 21.6 g of elemental boron (atomic

View Question 25 ml of a solution of barium hydroxide on titration with a 0.1 molar solution of hydrochloric acid gave a litre value o

View Question The number of d-electrons retained in Fe2+ (At no of Fe = 26) ion is :

View Question The orbital angular momentum for an electron revolving in an orbit is given by $$\sqrt {l(l + 1)} {h \over {2\pi }}$$. T

View Question Which one of the following groupings represents a collection of isoelectronic species? (At. nos. : Cs : 55, Br : 35)

View Question In Bohr series of lines of hydrogen spectrum, the third line from the red end corresponds to which one of the following

View Question The de Broglie wavelength of a tennis ball of mass 60 g moving with a velocity of 10 meters per second is approximately

View Question According to the Periodic Law of elements, the variation in properties of elements is related to their

View Question Which one of the following is an amphoteric oxide?

View Question An ethar is more volatile than an alcohol having the same molecular formula. This is due to

View Question Which one of the following pairs of molecules will have permanent dipole moments for both members

View Question The pair of species having identical shapes for molecules of both species is

View Question Which one of the following compounds has the smallest bond angle in its molecule?

View Question According to the kinetic theory of gases, in an ideal gas, between two successive collisions of a gas molecule travels

View Question The internal energy change when a system goes from state A to B is 40 kJ/mole. If the system goes from A to B by a rever

View Question In an irreversible process taking place at constant T and P and in which only pressure-volume work is being done, the ch

View Question The enthalpy change for a reaction does not depend upon :

View Question The correct relationship between free energy change in a reaction and the corresponding equilibrium constant Kc is :

View Question If at 298 K the bond energies of C - H, C - C, C = C and H - H bonds are respectively 414, 347, 615 and 435 kJ/mol, the

View Question The solubility in water of a sparingly soluble salt AB2 is 1.0 $$\times$$ 10-5 mol L-1. Its solubility product number wi

View Question Which one of the following statements is not true?

View Question Consider the reaction equilibrium
2 SO2 (g) + O2 (g) $$\leftrightharpoons$$ 2 SO3 (g); $$\Delta H^o$$ = -198 kJ
One the

View Question For the reaction equilibrium
N2O4 (g) $$\leftrightharpoons$$ 2NO2 (g)
the concentrations of N2O4 and NO2 at equilibrium

View Question When rain is accompanied by a thunderstorm, the collected rain water will have a pH value :

View Question In curing cement plasters water is sprinkled from time to time. This helps in :

View Question The solubilities of carbonates decrease down the magnesium group due to a decrease in :

View Question The substance not likely to contain CaCO3 is :

View Question Which one of the following process will produce hard water?

View Question The IUPAC name of CH3COCH(CH3)2 is

View Question In the anion HCOO$$-$$
the two carbon-oxygen bonds are found to be of equal length. What is the reason for it?

View Question The general formula CnH2nO2 could be for open chain

View Question On mixing a certain alkane with chlorine and irradiating it with ultravioletlight, it forms only one
monochloroalkane. T

View Question Butene-1 may be converted to butane by reaction with

View Question Which one of the following characteristics is not correct for physical adsorption?

View Question How many unit cells are present in a cubeshaped ideal crystal of NaCl of mass 1.00 g?
[Atomic masses: Na = 23, Cl = 35.5

View Question A pressure cooker reduces cooking time for food because

View Question In a 0.2 molal aqueous solution of a weak acid HX the degree of ionization is 0.3. Taking kf for water as 1.85, the free

View Question If liquids A and B form an ideal solution

View Question Standard reduction electrode potentials of three metals A,B&C are respectively +0.5 V, -3.0 V & -1.2 V. The
redu

View Question For a cell reaction involving a two-electron change, the standard e.m.f. of the cell is found to be 0.295 V at 25oC. The

View Question When during electrolysis of a solution of AgNO3, 9650 coulombs of charge pass through the electroplating
bath, the mass

View Question For the redox reaction Zn(s) + Cu2+(0.1 M) $$\to$$ Zn2+(1M) + Cu(s) taking place in a cell, $$E_{cell}^o$$ is 1.10 volt

View Question Several blocks of magnesium are fixed to the bottom of a ship to :

View Question The radionucleide $${}_{90}^{234}Th$$ undergoes two successive $$\beta$$ -decays followed by one $$\alpha$$-decay. The a

View Question The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g, the mass of
it rem

View Question In respect of the equation k = Ae-Ea/RT in chemical kinetics, which one of the following statements is correct?

View Question The rate law for a reaction between the substances A and B is given by Rate = k[A]n [B]m On doubling the concentration o

View Question For the reaction system:
2NO(g) + O2(g) $$\to$$ 2NO2(g) volume is suddenly reduce to half its value by increasing the p

View Question Graphite is a soft solid lubricant extremely difficult to melt. The reason for this anomalous behaviour is that
graphite

View Question Concentrated hydrochloric acid when kept in open air sometimes produces a cloud of white fumes. The
explanation for it i

View Question Which one of the following substances has the highest proton affinity?

View Question What may be expected to happen when phosphine gas is mixed with chlorine gas?

View Question For making good quality mirrors, plates of float glass are used. These are obtained by floating molten glass
over a liqu

View Question Glass is a :

View Question What would happen when a solution of potassium chromate is treated with an excess of dilute nitric acid?

View Question The atomic numbers of vanadium (V), Chromium (Cr), manganese (Mn) and iron (Fe) are respectively 23, 24, 25 and 26. Whic

View Question Which one of the following nitrates will leave behind a metal on strong heating?

View Question Ammonia forms the complex ion [Cu(NH3)4]2+ with copper ions in alkaline solutions but not in acidic solutions. What is t

View Question The radius of La3+ (Atomic number of La = 57) is 1.06 Å. Which one of the following given values will be
closest to the

View Question One mole of the complex compound Co(NH3)5Cl3, gives 3 moles of ions on dissolution in water. One mole of the same comple

View Question In the coordination compound, K4[Ni(CN)4], the oxidation state of nickel is :

View Question Bottles containing C6H5l and C6H5CH2I lost their original labels. They were labelled A and B for testing A and B were se

View Question During dehydration of alcohols to alkenes by heating with conc. H2SO4 the initiation step is

View Question When CH2 = CH - COOH is reduced with LiAlH4, the compound obtained will be

View Question The correct order of increasing basic nature for the bases NH3, CH3NH2 and (CH3)2 NH is

View Question Ethyl isocyanide on hydrolysis in acidic medium generates

View Question Which of the following could act as a propellant for rockets?

View Question Complete hydrolysis of cellulose gives

View Question Nylon threads are made of

View Question Which one of the following statements is correct?

View Question Among the following four structures $$i$$ to $$iv,$$
it is true that

View Question The reduction in atomic size with increase in atomic number is a characteristic of elements of

View Question The atomic numbers of Vanadium (V), Chromium (cr), Manganese (Mn) and Iron (Fe), respectively, $$23,24,25$$ and $$26$$.

View Question The reaction of chloroform with alcoholic $$KOH$$ and p-toluidine forms

View Question The reason for double helical structure of $$DNA$$ is operation of

View Question A red solid is insolvable in water. However it becomes soluble if some $$K{\rm I}$$ is added to water. Heating the red s

View Question ## Mathematics

If $$z$$ and $$\omega $$ are two non-zero complex numbers such that $$\left| {z\omega } \right| = 1$$ and $$Arg(z) - Arg

View Question Let $${Z_1}$$ and $${Z_2}$$ be two roots of the equation $${Z^2} + aZ + b = 0$$, Z being complex. Further , assume that

View Question If $${\left( {{{1 + i} \over {1 - i}}} \right)^x} = 1$$ then :

View Question If the sum of the roots of the quadratic equation $$a{x^2} + bx + c = 0$$ is equal to the sum of the squares of their re

View Question The value of '$$a$$' for which one root of the quadratic equation
$$$\left( {{a^2} - 5a + 3} \right){x^2} + \left( {3a

View Question The number of real solutions of the equation $${x^2} - 3\left| x \right| + 2 = 0$$ is

View Question The real number $$x$$ when added to its inverse gives the minimum sum at $$x$$ equal :

View Question If $$x$$ is positive, the first negative term in the expansion of $${\left( {1 + x} \right)^{27/5}}$$ is

View Question The number of ways in which 6 men and 5 women can dine at a round table if no two women are to sit together is given by

View Question The number of integral terms in the expansion of $${\left( {\sqrt 3 + \root 8 \of 5 } \right)^{256}}$$ is

View Question A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five

View Question If $${}^n{C_r}$$ denotes the number of combination of n things taken r at a time, then the expression $$\,{}^n{C_{r + 1}

View Question The sum of the serier $${1 \over {1.2}} - {1 \over {2.3}} + {1 \over {3.4}}..............$$ up to $$\infty $$ is equal t

View Question A square of side a lies above the $$x$$-axis and has one vertex at the origin. The side passing through the origin makes

View Question If the pair of straight lines $${x^2} - 2pxy - {y^2} = 0$$ and $${x^2} - 2qxy - {y^2} = 0$$ be such that each pair bisec

View Question If $${x_1},{x_2},{x_3}$$ and $${y_1},{y_2},{y_3}$$ are both in G.P. with the same common ratio, then the points $$\left(

View Question Locus of centroid of the triangle whose vertices are $$\left( {a\cos t,a\sin t} \right),\left( {b\sin t, - b\cos t} \rig

View Question If the equation of the locus of a point equidistant from the point $$\left( {{a_{1,}}{b_1}} \right)$$ and $$\left( {{a_{

View Question If the two circles $${(x - 1)^2}\, + \,{(y - 3)^2} = \,{r^2}$$ and $$\,{x^2}\, + \,{y^2} - \,8x\, + \,2y\, + \,\,8\,\, =

View Question The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having area as 154 sq. units. Then the equation of the c

View Question The normal at the point$$\left( {bt_1^2,2b{t_1}} \right)$$ on a parabola meets the parabola again in the point $$\left(

View Question The foci of the ellipse $${{{x^2}} \over {16}} + {{{y^2}} \over {{b^2}}} = 1$$ and the hyperbola $${{{x^2}} \over {144}}

View Question If $$f\left( y \right) = {e^y},$$ $$g\left( y \right) = y;y > 0$$ and
$$F\left( t \right) = \int\limits_0^t {f\left(

View Question If $$f\left( x \right) = {x^n},$$ then the value of
$$f\left( 1 \right) - {{f'\left( 1 \right)} \over {1!}} + {{f''\lef

View Question Let $$f\left( x \right)$$ be a polynomial function of second degree. If $$f\left( 1 \right) = f\left( { - 1} \right)$$

View Question The sum of the radii of inscribed and circumscribed circles for an $$n$$ sided regular polygon of side $$a, $$ is :

View Question In a triangle $$ABC$$, medians $$AD$$ and $$BE$$ are drawn. If $$AD=4$$,
$$\angle DAB = {\pi \over 6}$$ and $$\angle A

View Question If in a $$\Delta ABC$$ $$a\,{\cos ^2}\left( {{C \over 2}} \right) + c\,{\cos ^2}\left( {{A \over 2}} \right) = {{3b} \ov

View Question The trigonometric equation $${\sin ^{ - 1}}x = 2{\sin ^{ - 1}}a$$ has a solution for :

View Question If the function $$f\left( x \right) = 2{x^3} - 9a{x^2} + 12{a^2}x + 1,$$ where $$a>0,$$ attains its maximum and minim

View Question If $$A = \left[ {\matrix{
a & b \cr
b & a \cr
} } \right]$$ and $${A^2} = \left[ {\matrix{
\alpha

View Question If $$1,$$ $$\omega ,{\omega ^2}$$ are the cube roots of unity, then
$$\Delta = \left| {\matrix{
1 & {{\omega ^

View Question If the system of linear equations
$$x + 2ay + az = 0;$$ $$x + 3by + bz = 0;\,\,x + 4cy + cz = 0;$$
has a non - zero so

View Question The area of the region bounded by the curves $$y = \left| {x - 1} \right|$$ and $$y = 3 - \left| x \right|$$ is :

View Question Let $$f(x)$$ be a function satisfying $$f'(x)=f(x)$$ with $$f(0)=1$$ and $$g(x)$$ be a function that satisfies $$f\left(

View Question If $$f\left( {a + b - x} \right) = f\left( x \right)$$ then $$\int\limits_a^b {xf\left( x \right)dx} $$ is equal to

View Question The value of the integral $$I = \int\limits_0^1 {x{{\left( {1 - x} \right)}^n}dx} $$ is

View Question The solution of the differential equation
$$\left( {1 + {y^2}} \right) + \left( {x - {e^{{{\tan }^{ - 1}}y}}} \right){{

View Question The degree and order of the differential equation of the family of all parabolas whose axis is $$x$$-axis, are respectiv

View Question Events $$A, B, C$$ are mutually exclusive events such that $$P\left( A \right) = {{3x + 1} \over 3},$$ $$P\left( B \righ

View Question The mean and variance of a random variable $$X$$ having binomial distribution are $$4$$ and $$2$$ respectively, then $$P

View Question Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A select

View Question If $$\overrightarrow a \times \overrightarrow b = \overrightarrow b \times \overrightarrow c = \overrightarrow c \t

View Question Let $$\overrightarrow u = \widehat i + \widehat j,\,\overrightarrow v = \widehat i - \widehat j$$ and $$\overrightarro

View Question The vectors $$\overrightarrow {AB} = 3\widehat i + 4\widehat k\,\,\& \,\,\overrightarrow {AC} = 5\widehat i - 2\wi

View Question The shortest distance from the plane $$12x+4y+3z=327$$ to the sphere $${x^2} + {y^2} + {z^2} + 4x - 2y - 6z = 155$$ is

View Question The two lines $$x=ay+b,z=cy+d$$ and $$x = a'y + b',z = c'y + d'$$ will be perpendicular, if and only if :

View Question The lines $${{x - 2} \over 1} = {{y - 3} \over 1} = {{z - 4} \over { - k}}$$ and $${{x - 1} \over k} = {{y - 4} \over 2}

View Question $$\overrightarrow a \,,\overrightarrow b \,,\overrightarrow c $$ are $$3$$ vectors, such that $$\overrightarrow a + \o

View Question The radius of the circle in which the sphere
$${x^2} + {y^2} + {z^2} + 2x - 2y - 4z - 19 = 0$$ is cut by the plane
$$x

View Question A tetrahedron has vertices at $$O(0,0,0), A(1,2,1) B(2,1,3)$$ and $$C(-1,1,2).$$ Then the angle between the faces $$OAB$

View Question If $$\left| {\matrix{
a & {{a^2}} & {1 + {a^3}} \cr
b & {{b^2}} & {1 + {b^3}} \cr
c & {

View Question Consider points $$A, B, C$$ and $$D$$ with position
vectors $$7\widehat i - 4\widehat j + 7\widehat k,\widehat i - 6\wi

View Question If $$\overrightarrow u \,,\overrightarrow v $$ and $$\overrightarrow w $$ are three non-coplanar vectors, then $$\,\left

View Question Two systems of rectangular axes have the same origin. If a plane cuts then at distances $$a,b,c$$ and $$a', b', c'$$ fro

View Question The function $$f\left( x \right)$$ $$ = \log \left( {x + \sqrt {{x^2} + 1} } \right)$$, is

View Question A function $$f$$ from the set of natural numbers to integers defined by
$$$f\left( n \right) = \left\{ {\matrix{
{{{n

View Question If $$f:R \to R$$ satisfies $$f$$(x + y) = $$f$$(x) + $$f$$(y), for all x, y $$ \in $$ R and $$f$$(1) = 7, then $$\sum\li

View Question Domain of definition of the function f(x) = $${3 \over {4 - {x^2}}}$$ + $${\log _{10}}\left( {{x^3} - x} \right)$$, is

View Question $$\mathop {\lim }\limits_{n \to \infty } {{1 + {2^4} + {3^4} + .... + {n^4}} \over {{n^5}}}$$ - $$\mathop {\lim }\limits

View Question The value of $$\mathop {\lim }\limits_{x \to 0} {{\int\limits_0^{{x^2}} {{{\sec }^2}tdt} } \over xsinx}$$ is

View Question If $$\mathop {\lim }\limits_{x \to 0} {{\log \left( {3 + x} \right) - \log \left( {3 - x} \right)} \over x}$$ = k, the v

View Question Let $$f(a) = g(a) = k$$ and their nth derivatives
$${f^n}(a)$$, $${g^n}(a)$$ exist and are not equal for some n. Further

View Question $$\mathop {\lim }\limits_{x \to {\pi \over 2}} {{\left[ {1 - \tan \left( {{x \over 2}} \right)} \right]\left[ {1 - \sin

View Question If $$f(x) = \left\{ {\matrix{
{x{e^{ - \left( {{1 \over {\left| x \right|}} + {1 \over x}} \right)}}} & {,x \ne 0

View Question In an experiment with 15 observations on $$x$$, then following results were available:
$$\sum {{x^2}} = 2830$$, $$\sum

View Question The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of
the set is increased by

View Question ## Physics

Dimensions of $${1 \over {{\mu _0}{\varepsilon _0}}}$$, where symbols have their usual meaning, are

View Question The physical quantities not having same dimensions are

View Question A car, moving with a speed of 50 km/hr, can be stopped by brakes after at least 6 m. If the
same car is moving at a spee

View Question A boy playing on the roof of a 10 m high building throws a ball with a speed of 10 m/s at an
angle of $$30^\circ $$ with

View Question The co-ordinates of a moving particle at any time 't' are given by x = $$\alpha $$t3 and y = βt3. The speed to the parti

View Question A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads $$49$$ $$N

View Question A light spring balance hangs from the hook of the other light spring balance and a block of mass $$M$$ $$kg$$ hangs from

View Question A marble block of mass $$2$$ $$kg$$ lying on ice when given a velocity of $$6$$ $$m/s$$ is stopped by friction in $$10$$

View Question A block of mass $$M$$ is pulled along a horizontal frictionless surface by a rope of mass $$m.$$ If a force $$P$$ is app

View Question A rocket with a lift-off mass $$3.5 \times {10^4}\,\,kg$$ is blasted upwards with an initial acceleration of $$10m/{s^2}

View Question Consider the following two statements :
$$A.$$ Linear momentum of a system of particles is zero
$$B.$$ Kinetic energy o

View Question A spring of spring constant $$5 \times {10^3}\,N/m$$ is stretched initially by $$5$$ $$cm$$ from the unstretched positio

View Question A wire suspended vertically from one of its ends is stretched by attaching a weight of $$200N$$ to the lower end. The we

View Question A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time $

View Question A particle performing uniform circular motion has angular frequency is doubled & its kinetic energy halved, then the

View Question A circular disc $$X$$ of radius $$R$$ is made from an iron plate of thickness $$t,$$ and another disc $$Y$$ of radius $

View Question Let $$\overrightarrow F $$ be the force acting on a particle having position vector $$\overrightarrow r ,$$ and $$\over

View Question The time period of satellite of earth is $$5$$ hours. If the separation between the earth and the satellite is increased

View Question The escape velocity for a body projected vertically upwards from the surface of earth is $$11$$ $$km/s.$$ If the body is

View Question Two spherical bodies of mass $$M$$ and $$5M$$ & radii $$R$$ & $$2R$$ respectively are released in free space wit

View Question Three forces start acting simultaneously on a particle moving with velocity, $$\overrightarrow v \,\,.$$ These forces ar

View Question A horizontal force of $$10$$ $$N$$ is necessary to just hold a block stationary against a wall. The coefficient of frict

View Question ''Heat cannot by itself flow from a body at lower temperature to a body at higher temperature'' is a statement or conseq

View Question During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature.

View Question Which of the following parameters does not characterize the thermodynamic state of mattter?

View Question A carnot engine takes $$3 \times {10^6}$$ cal. of heat from a reservoir at $${627^ \circ }C,$$ and gives it to a sink at

View Question According to Newton's law of cooling, the rate of cooling of a body is proportional to $${\left( {\Delta \theta } \right

View Question The earth radiates in the infra-red region of the spectrum. The spectrum is correctly given by

View Question A mass $$M$$ is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the

View Question Two particles $$A$$ and $$B$$ of equal masses are suspended from two massless springs of spring of spring constant $${k

View Question The displacement of particle varies according to the relation
$$x=4$$$$\left( {\cos \,\pi t + \sin \,\pi t} \right).$$

View Question The length of a simple pendulum executing simple harmonic motion is increased by $$21\% $$. The percentage increase in t

View Question A body executes simple harmonic motion. The potential energy $$(P.E),$$ the kinetic energy $$(K.E)$$ and total energy $$

View Question A metal wire of linear mass density of $$9.8$$ $$g/m$$ is stretched with a tension of $$10$$ $$kg$$-$$wt$$ between two r

View Question The displacement $$y$$ of a wave travelling in the $$x$$-direction is given by
$$$y = {10^{ - 4}}\,\sin \left( {600t -

View Question A tuning fork of known frequency $$256$$ $$Hz$$ makes $$5$$ beats per second with the vibrating string of a piano. The b

View Question If the electric flux entering and leaving an enclosed surface respectively is $${\phi _1}$$ and $${\phi _2},$$ the elect

View Question A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of th

View Question A thin spherical conducting shell of radius $$R$$ has a charge $$q.$$ Another charge $$Q$$ is placed at the center of th

View Question The work done in placing a charge of $$8 \times {10^{ - 18}}$$ coulomb on a condenser of capacity $$100$$ micro-farad is

View Question Three charges $$ - {q_1}, + {q_2}$$ and $$ - {q_3}$$ are placed as shown in the figure. The $$x$$-component of the force

View Question The length of a given cylindrical wire is increased by $$100\% $$. Due to the consequent decrease in diameter the change

View Question The length of a wire of a potentiometer is $$100$$ $$cm$$, and the $$e.$$ $$m.$$ $$f.$$ of its standard cell is $$E$$ vo

View Question The thermo $$e.m.f.$$ of a thermo -couple is $$25$$ $$\mu V/{}^ \circ C$$ at room temperature. A galvanometer of $$40$$

View Question An ammeter reads upto $$1$$ ampere. Its internal resistance is $$0.81$$ $$ohm$$. To increase the range to $$10$$ $$A$$ t

View Question The nagative $$Zn$$ pole of a Daniell cell, sending a constant current through a circuit, decreases in mass by $$0.13g$$

View Question A $$3$$ volt battery with negligible internal resistance is connected in a circuit as shown in the figure. The current $

View Question A $$220$$ volt, $$1000$$ watt bulb is connected across a $$110$$ $$volt$$ mains supply. The power consumed will be

View Question A thin rectangular magnet suspended freely has a period of oscillation equal to $$T.$$ Now it is broken into two equal h

View Question A particle of mass $$M$$ and charge $$Q$$ moving with velocity $$\overrightarrow v $$ describe a circular path of radius

View Question A particle of charge $$ - 16 \times {10^{ - 18}}$$ coulomb moving with velocity $$10m{s^{ - 1}}$$ along the $$x$$-axis e

View Question A magnetic needle lying parallel to a magnetic field requires $$W$$ units of work to turn it through $${60^ \circ }.$$ T

View Question The magnetic lines of force inside a bar magnet

View Question Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon

View Question In an oscillating $$LC$$ circuit the maximum charge on the capacitor is $$Q$$. The charge on the capacitor when the ener

View Question When the current changes from $$ + 2A$$ to $$-2A$$ in $$0.05$$ second, an $$e.m.f.$$ of $$8$$ $$V$$ is inducted in a coi

View Question The core of any transformer is laminated so as to

View Question Consider telecommunication through optical fibres. Which of the following statements is not true?

View Question To demonstrate the phenomenon of interference, we require two sources which emit radiation

View Question To get three images of a single object, one should have two plane mirrors at an angle of

View Question The image formed by an objective of a compound microscope is

View Question A strip of copper and another of germanium are cooled from room temperature to $$80K.$$ The resistance of

View Question Which of the following radiations has the least wavelength ?

View Question When a $${U^{238}}$$ nucleus originally at rest, decays by emitting an alpha particle having a speed $$'u',$$ the recoil

View Question The difference in the variation of resistance with temperature in a metal and a semiconductor arises essentially due to

View Question A radioactive sample at any instant has its disintegration rate $$5000$$ disintegrations per minute. After $$5$$ minutes

View Question A nucleus with $$Z=92$$ emits the following in a sequence:
$$$\alpha ,{\beta ^ - },{\beta ^ - },\alpha ,\alpha ,\alpha

View Question Which of the following atoms has the lowest ionization potential ?

View Question The wavelengths involved in the spectrum of deuterium $$\left( {{}_1^2\,D} \right)$$ are slightly different from that of

View Question In the nuclear fusion reaction
$$${}_1^2H + {}_1^3H \to {}_2^4He + n$$$
given that the repulsive potential energy betwe

View Question Which of the following cannot be emitted by radioactive substances during their decay ?

View Question In the middle of the depletion layer of a reverse- biased $$p$$-$$n$$ junction, the

View Question Two identical photo-cathodes receive light of frequencies $${f_1}$$ and $${f_2}$$. If the velocities of the photo electr

View Question If the binding energy of the electron in a hydrogen atom is $$13.6eV,$$ the energy required to remove the electron from

View Question