MHT CET 2023 9th May Evening Shift

Paper was held on
Tue, May 9, 2023 9:30 AM

## Chemistry

Identify monodentate ligand from the following.

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Identify linear polymer from the following.

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What is the conductivity of $$0.05 ~\mathrm{M} ~\mathrm{BaCl}_2$$ solution if its molar conductivity is $$220 ~\Omega^{-

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Which from following polymers is grouped in the category of elastomers?

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Which element from following exhibits diagonal relationship with beryllium?

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What is the stock notation of Manganese dioxide?

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A reaction, $$\mathrm{Ni}_{(\mathrm{s})}+\mathrm{Cu}_{(\mathrm{(M)})}^{+} \rightarrow \mathrm{Ni}_{(\mathrm{IM})}^{+}+\m

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What volume of ammonia is formed when $$10 ~\mathrm{dm}^3$$ dinitrogen reacts with $$30 ~\mathrm{dm}^3$$ dihydrogen at s

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What is the number of moles of $$\mathrm{sp}^2$$ hybrid carbon atoms present in $$\mathrm{n}$$ moles of isopentane?

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Find solubility of $$\mathrm{PbI}_2$$ if its solubility product is $$7.0 \times 10^{-9}$$.

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Identify the product formed when vapours of 2-methylpropan-2-ol are passed over hot copper.

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Calculate the rate constant of first order reaction if the concentration of the reactant decreases by $$90 \%$$ in 30 mi

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What different elements are found in baryte?

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Identify the product '$$B$$' in the following reaction.
Cumene $$\mathrm{\mathrel{\mathop{\kern0pt\longrightarrow}
\limi

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Which of the following on reaction with ammoniacal silver nitrate forms silver precipitate?

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Identify an aromatic, mixed, 3$$^\circ$$ amine from following.

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For $$\mathrm{NaCl}_{(\mathrm{s})}$$ enthalpy of solution is $$4 \mathrm{~kJ} \mathrm{~mol}^{-1}$$ and lattice enthalpy

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Which from following statements regarding transition elements is NOT CORRECT?

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A solution of $$8 \mathrm{~g}$$ of certain organic compound in $$2 ~\mathrm{dm}^3$$ water develops osmotic pressure $$0.

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What is the value of $$\Delta H-\Delta U$$ for the following reaction?
$$2 \mathrm{C}_{(\mathrm{s})}+3 \mathrm{H}_{2(\ma

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Which from the following compound solutions in water of equal concentration has electrical conductivity nearly same as d

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What is the $$\mathrm{pH}$$ of a solution containing $$2.2 \times 10^{-6} \mathrm{M}$$ hydrogen ions?

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Which of the following statements is NOT true about Rutherford atomic model?

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What is IUPAC name of propylene glycerol?

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Identify the CORRECT decreasing order of melting point of cluster of sodium atoms depending on size.

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Which from the following coordinate complexes contains anionic and neutral ligands in it?

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Which among the following is allylic halide?

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Which of the following compounds has the highest boiling point?

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A solution of nonvolatile solute is obtained by dissolving $$1 \mathrm{~g}$$ in $$100 \mathrm{~g}$$ solvent, decreases i

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What is the IUPAC name of allylamine?

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What is the wave number of photon emitted during transition from orbit, $$\mathrm{n}=4$$ to $$\mathrm{n}=2$$ in hydrogen

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Which from following is a CORRECT bond line formula of $$\mathrm{HO}\left(\mathrm{CH}_2\right)_3 \mathrm{CH}\left(\mathr

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Identify the carbon atoms of $$\alpha$$-glucose and $$\beta$$-fructose forming glycosidic linkage in sucrose.

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Calculate the molar mass of an element having density $$21 \mathrm{~g} \mathrm{~cm}^{-3}$$ that forms fcc unit cell $$\l

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Which of the following is the SI unit of coefficient of viscosity?

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Which from following metal has ccp crystal structure?

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Identify the reagent '$$A$$' used in the following conversion.
Ethyl bromide $$\stackrel{\mathrm{A}}{\longrightarrow}$$

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What is the concentration of $$\left[\mathrm{H}_3 \mathrm{O}^{+}\right]$$ ion in $$\mathrm{mol} ~\mathrm{L}^{-1}$$ of $$

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Which group elements from following are called as chalcogens?

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What is the number of electrons around sulfur in $$\mathrm{H}_2 \mathrm{SO}_4$$ molecule?

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An ideal gas expands by $$1.5 \mathrm{~L}$$ against a constant external pressure of $$2 \mathrm{~atm}$$ at $$298 \mathrm

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The rate law for the reaction $$\mathrm{A}+\mathrm{B} \rightarrow$$ product is given by rate $$=k[A][B]$$ Calculate $$[A

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Which among the following has the lowest boiling point?

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Find the average rate of formation $$\mathrm{O}_{2(\mathrm{~g})}$$ in the following reaction.
$$\begin{aligned}
& 2 \mat

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Which among the following reactions occurs by breaking of $$\mathrm{C}-\mathrm{O}$$ bond in alcohol?

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Which among the following gases exhibits very low solubility in water at room temperature?

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Identify the trisaccharide from following.

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Identify the element from following having six unpaired electrons in observed electronic configuration?

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Find the radius of metal atom in simple cubic unit cell having edge length 334.7 pm?

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Which of the following colloids is NOT a gel?

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## Mathematics

If the slope of one of the lines represented by $$a x^2+(2 a+1) x y+2 y^2=0$$ is reciprocal of the slope of the other, t

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In $$\triangle \mathrm{PQR}, \sin \mathrm{P}, \sin \mathrm{Q}$$ and $$\sin \mathrm{R}$$ are in A.P., then

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The value of $$\tan ^{-1}\left(\frac{\sqrt{1+x^2}+\sqrt{1-x^2}}{\sqrt{1+x^2}-\sqrt{1-x^2}}\right), |x|

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If slope of a tangent to the curve $$x y+a x+b y=0$$ at the point $$(1,1)$$ on it is 2 ,

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The equation of a line, whose perpendicular distance from the origin is 7 units and the angle, which the perpendicular t

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Let $$a, b, c$$ be the lengths of sides of triangle $$A B C$$ such that $$\frac{a+b}{7}=\frac{b+c}{8}=\frac{c+a}{9}=k$$.

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If the mean and S.D. of the data $$3,5,7, a, b$$ are 5 and 2 respectively, then $$a$$ and $$b$$ are the roots of the equ

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A man takes a step forward with probability 0.4 and backwards with probability 0.6 . The probability that at the end of

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If $$\mathrm{f}^{\prime}(x)=x-\frac{5}{x^5}$$ and $$\mathrm{f}(1)=4$$, then $$\mathrm{f}(x)$$ is

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A linguistic club of a certain Institute consists of 6 girls and 4 boys. A team of 4 members to be selected from this gr

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Negation of the statement
"The payment will be made if and only if the work is finished in time." Is

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The equation $$x^3+x-1=0$$ has

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If a line $$\mathrm{L}$$ is the line of intersection of the planes $$2 x+3 y+z=1$$ and $$x+3 y+2 z=2$$. If line $$\mathr

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The range of values of $$x$$ for which $$f(x)=x^3+6 x^2-36 x+7$$ is increasing in

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The maximum value of the function $$f(x)=3 x^3-18 x^2+27 x-40$$ on the set $$\mathrm{S}=\left\{x \in \mathbb{R} / x^2+30

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Let $$\mathrm{p}, \mathrm{q}, \mathrm{r}$$ be three statements, then $$[p \rightarrow(q \rightarrow r)] \leftrightarrow[

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$$\int_\limits1^2 \frac{\mathrm{d} x}{\left(x^2-2 x+4\right)^{\frac{3}{2}}}=\frac{\mathrm{k}}{\mathrm{k}+5} \text {, the

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The sides of a rectangle are given by the equations $$x=-2, x=4, y=-2$$ and $$y=5$$
Then the equation of the circle, who

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$$\overline{\mathrm{a}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}, \overline{\mathrm{b}}=\hat{\mathrm{j}}-\hat{

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The magnitude of the projection of the vector $$2 \hat{i}+\hat{j}+\hat{k}$$ on the vector perpendicular to the plane con

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The shortest distance between the lines $$\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$$ and $$\frac{x-2}{3}=\frac{y-4}{4}=

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If $$\bar{a}, \bar{b}$$ and $$\bar{c}$$ are any three non-zero vectors, then $$(\bar{a}+2 \bar{b}+\bar{c}) \cdot[(\bar{a

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In $$\triangle \mathrm{ABC}$$, with usual notations, $$\mathrm{m} \angle \mathrm{C}=\frac{\pi}{2}$$, if $$\tan \left(\fr

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If $$\int \frac{\sin x}{3+4 \cos ^2 x} \mathrm{~d} x=\mathrm{A} \tan ^{-1}(\mathrm{~B} \cos x)+\mathrm{c}$$, (where $$\m

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Vectors $$\overline{\mathrm{a}}$$ and $$\overline{\mathrm{b}}$$ are such that $$|\overline{\mathrm{a}}|=1 ;|\overline{\m

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If $$y$$ is a function of $$x$$ and $$\log (x+y)=2 x y$$, then the value of $$y^{\prime}(0)$$ is

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If $$\cos 2 B=\frac{\cos (A+C)}{\cos (A-C)}$$. Then $$\tan A, \tan B, \tan C$$ are in

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If $$\log _2 x+\log _4 x+\log _8 x+\log _{16} x=\frac{25}{36}$$ and $$x=2^{\mathrm{k}}$$ then $$\mathrm{k}$$ is

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If $$\left|\begin{array}{ccc}\cos (A+B) & -\sin (A+B) & \cos (2 B) \\ \sin A & \cos A & \sin B \\ -\cos A & \sin A & \co

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General solution of the differential equation $$\log \left(\frac{d y}{d x}\right)=a x+b y$$ is

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$$\int(\sqrt{\tan x}+\sqrt{\cot x}) d x=$$

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If $$Z_1=2+i$$ and $$Z_2=3-4 i$$ and $$\frac{\overline{Z_1}}{Z_2}=a+b i$$, then the value of $$-7 a+b$$ is (where $$i=\s

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Let $$\alpha \in\left(0, \frac{\pi}{2}\right)$$ be fixed. If the integral
$$\int \frac{\tan x+\tan \alpha}{\tan x-\tan \

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Two adjacent sides of a parallelogram are $$2 \hat{i}-4 \hat{j}+5 \hat{k}$$ and $$\hat{i}-2 \hat{j}-3 \hat{k}$$, then th

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A water tank has a shape of inverted right circular cone whose semi-vertical angle is $$\tan ^{-1}\left(\frac{1}{2}\righ

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The differential equation of all circles which pass through the origin and whose centres lie on $$\mathrm{Y}$$-axis is

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If $$x^{\mathrm{k}}+y^{\mathrm{k}}=\mathrm{a}^{\mathrm{k}}(\mathrm{a}, \mathrm{k}>0)$$ and $$\frac{\mathrm{d} y}{\mathrm

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The area (in sq. units) bounded by the curve $$y=x|x|, \mathrm{X}$$-axis and the lines $$x=-1$$ and $$x=1$$ is

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The co-ordinates of the point, where the line $$\frac{x-1}{2}=\frac{y-2}{-3}=\frac{z+5}{4}$$ meets the plane $$2 x+4 y-\

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$$\lim _\limits{x \rightarrow 0} \frac{(1-\cos 2 x) \cdot \sin 5 x}{x^2 \sin 3 x}$$ is

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If $$\mathrm{g}$$ is the inverse of $$\mathrm{f}$$ and $$\mathrm{f}^{\prime}(x)=\frac{1}{1+x^3}$$, then $$\mathrm{g}^{\p

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A problem in statistics is given to three students A, B and C. Their probabilities of solving the problem are $$\frac{1}

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Let $$A=\left[\begin{array}{ccc}1 & 1 & 1 \\ 0 & 1 & 3 \\ 1 & -2 & 1\end{array}\right], B=\left[\begin{array}{c}6 \\ 11

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$$f(x)=\left\{\begin{array}{ll}
\frac{1-\cos k x}{x^2}, & \text { if } x \leq 0 \\
\frac{\sqrt{x}}{\sqrt{16+\sqrt{x}}-4}

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If $$\mathrm{D}, \mathrm{E}$$ and $$\mathrm{F}$$ are the mid-points of the sides $$\mathrm{BC}$$, $$\mathrm{CA}$$ and $$

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Two cards are drawn successively with replacement from a well shuffled pack of 52 cards, then mean of number of queens i

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The equation of a plane, containing the line of intersection of the planes $$2 x-y-4=0$$ and $$y+2 z-4=0$$ and passing t

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A random variable $$\mathrm{X}$$ assumes values 1, 2, 3, ....., n with equal probabilities, if $$\operatorname{var}(X)=E

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The graphical solution set for the system of inequations
$$x-2 y \leq 2,5 x+2 y \geq 10,4 x+5 y \leq 20, x \geq 0,
y \ge

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Let $$\mathrm{f}(0)=-3$$ and $$\mathrm{f}^{\prime}(x) \leq 5$$ for all real values of $$x$$. The $$\mathrm{f}(2)$$ can h

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## Physics

Light of wavelength ',$$\lambda$$' is incident on a slit of width '$$\mathrm{d}$$'. The resulting diffraction pattern is

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Two S.H.Ms. are represented by equations $$\mathrm{y}_1=0.1 \sin \left(100 \pi \mathrm{t}+\frac{\pi}{3}\right)$$ and $$\

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A film of soap solution is formed between two straight parallel wires of length $$10 \mathrm{~cm}$$ each separated by $$

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An ideal gas in a container of volume 500 c.c. is at a pressure of $$2 \times 10^{+5} \mathrm{~N} / \mathrm{m}^2$$. The

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A gas at N.T.P. is suddenly compressed to onefourth of its original volume. If $$\gamma=1.5$$, then the final pressure i

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A particle of mass '$$\mathrm{m}$$' moves along a circle of radius '$$r$$' with constant tangential acceleration. If K.E

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An e.m.f. $$E=4 \cos (1000 t)$$ volt is applied to an LR circuit of inductance $$3 \mathrm{~mH}$$ and resistance $$4 ~\O

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In the reverse biasing of a p-n junction diode :

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When a charge of $$3 ~\mathrm{C}$$ is placed in uniform electric field, it experiences a force of $$3000 \mathrm{~N}$$.

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A soap bubble of radius '$$R$$' is blown. After heating a solution, a second bubble of radius '$$2 \mathrm{R}$$' is blow

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In a transistor, in common emitter configuration, the ratio of power gain to voltage gain is

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A galvanometer of resistance $$20 ~\Omega$$ gives a deflection of 5 divisions when $$1 \mathrm{~mA}$$ current flows thro

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The equation of simple harmonic progressive wave is given by $$y=a \sin 2 \pi(b t-c x)$$. The maximum particle velocity

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Five current carrying conductors meet at a point '$$\mathrm{O}$$' as shown in figure. The magnitude and direction of the

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An alternating voltage of frequency '$$\omega$$' is induced in electric circuit consisting of an inductance '$$L$$' and

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A gas is compressed at a constant pressure of $$50 \mathrm{~N} / \mathrm{m}^2$$ from a volume of $$10 \mathrm{~m}^3$$ to

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The reactance of capacitor at $$50 \mathrm{~Hz}$$ is $$5 \Omega$$. If the frequency is increased to $$100 \mathrm{~Hz}$$

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Stationary waves can be produced in

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The pressure exerted by an ideal gas at a particular temperature is directly proportional to

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If a ray of light in denser medium strikes a rarer medium at angle of incidence $$i$$, the angles of reflection and refr

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A spring has a certain mass suspended from it and its period for vertical oscillations is '$$T_1$$'. The spring is now c

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When photons of energies twice and thrice the work function of a metal are incident on the metal surface one after other

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A simple pendulum of length $$2 \mathrm{~m}$$ is given a horizontal push through angular displacement of $$60^{\circ}$$.

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The force acting on the electron in hydrogen atom (Bohr' theory) is related to the principle quantum number '$$n$$' as

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If the frequency of the input voltage is $$50 \mathrm{~Hz}$$, applied to a (a) half wave rectifier and (b) full wave rec

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Periodic time of a satellite revolving above the earth's surface at a height equal to radius of the earth '$$R$$' is [ $

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The wavelength of light for the least energetic photons emitted in the Lyman series of the hydrogen spectrum is nearly [

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In Young's double slit experiment, the wavelength of light used is '$$\lambda$$'. The intensity at a point is '$$\mathrm

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The side of a copper cube is $$1 \mathrm{~m}$$ at $$0^{\circ} \mathrm{C}$$. What will be the change in its volume, when

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If current '$$I$$' is flowing in the closed circuit with collective resistance '$$R$$', the rate of production of heat e

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Two coils $$\mathrm{A}$$ and $$\mathrm{B}$$ have mutual inductance 0.008 $$\mathrm{H}$$. The current changes in the coil

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A thin rod of length $$L$$ has magnetic moment $$M$$ when magnetised. If rod is bent in a semicircular arc what is magne

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A fluid of density '$$\rho$$' and viscosity '$$\eta$$' is flowing through a pipe of diameter '$$d$$', with a velocity '$

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In Young's double slit experiment, the fringe width is $$2 \mathrm{~mm}$$. The separation between the $$13^{\text {th }}

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10 A current is flowing in two straight parallel wires in the same direction. Force of attraction between them is $$1 \t

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Consider a planet whose density is same as that of the earth but whose radius is three times the radius '$$R$$' of the e

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When a certain metal surface is illuminated with light of frequency $$v$$, the stopping potential for photoelectric curr

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If the length of an open organ pipe is $$33.3 \mathrm{~cm}$$, then the frequency of fifth overtone is [Neglect end corre

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A transparent glass cube of length $$24 \mathrm{~cm}$$ has a small air bubble trapped inside. When seen normally through

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The temperature of an ideal gas is increased from $$27^{\circ} \mathrm{C}$$ to $$927^{\circ} \mathrm{C}$$. The r.m.s. sp

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A disc of radius $$R$$ and thickness $$\frac{R}{6}$$ has moment of inertia I about an axis passing through its centre an

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A charge '$$q$$' moves with velocity '$$v$$' through electric (E) as well as magnetic field (B). Then the force acting o

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A parallel combination of two capacitors of capacities '$$2 ~\mathrm{C}$$' and '$$\mathrm{C}$$' is connected across $$5

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Consider the following statements $$\mathrm{A}$$ and $$\mathrm{B}$$. Identify the correct choice in the given answers.
A

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The charges $$2 \mathrm{q},-\mathrm{q},-\mathrm{q}$$ are located at the vertices of an equilateral triangle. At the circ

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The magnetic field at a point $$\mathrm{P}$$ situated at perpendicular distance '$$R$$' from a long straight wire carryi

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A particle at rest starts moving with constant angular acceleration $$4 ~\mathrm{rad} / \mathrm{s}^2$$ in circular path.

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If the end correction of an open pipe is $$0.8 \mathrm{~cm}$$, then the inner radius of that pipe is

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The mutual inductance (M) of the two coils is $$3 ~\mathrm{H}$$. The self inductances of the coils are $$4 ~\mathrm{H}$$

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A particle is vibrating in S.H.M. with an amplitude of $$4 \mathrm{~cm}$$. At what displacement from the equilibrium pos

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