MHT CET 2023 12th May Evening Shift
Paper was held on Fri, May 12, 2023 9:30 AM
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Chemistry

Which of the following expressions represents molar conductivity of $$\mathrm{AB}_3$$ type electrolyte?
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What is the mass of $$\mathrm{KClO}_{3(\mathrm{~s})}$$ required to liberate 22. $$4 \mathrm{~dm}^3$$ oxygen at STP durin
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Identify product $$\mathrm{B}$$ in the following reaction.
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If $$0.15 \mathrm{~m}$$ aqueous solution of KCI freezes at $$-0.511^{\circ} \mathrm{C}$$, calculate van't Hoff factor of
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Which among the following is NOT the feature of reversible process?
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Which from following functional groups is at the lowest order to decide principal functional group in polyfunctional com
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Calculate the $$\mathrm{E}_{\text {cell }}$$ for $$\mathrm{Zn}_{(\mathrm{s})}\left|\mathrm{Zn}_{(0.1 \mathrm{M})}^{++}\r
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Which from following formulae is of galena?
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What is the solubility of $$\mathrm{AgCl}_{(\mathrm{s})}$$ if its solubility product is $$1.6 \times 10^{-10}$$ ?
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Which from following nanoparticle catalysts is used in photocatalysis?
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A gas absorbs $$150 \mathrm{~J}$$ heat and expands by $$300 \mathrm{~cm}^3$$ against a constant external pressure $$2 \t
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A first order reaction takes 23.03 minutes for $$20 \%$$ decomposition. Calculate its rate constant.
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Which among the following is dicarboxylic acid?
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Which from following elements belongs to group 17 of periodic table?
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What is the number of moles of donor atoms in n mole of NO$$^-_2$$ ?
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Calculate the density of an element having molar mass $$27 \mathrm{~g} \mathrm{~mol}^{-1}$$ that forms fcc unit cell. $$
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Which of the following is not a globular protein?
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Crotonyl alcohol is an example of
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What type of following solids the ice is
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A buffer solution is prepared by mixing $$0.01 \mathrm{~M}$$ weak acid and $$0.05 \mathrm{~M}$$ solution of a salt of we
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Which of the following gases is formed during oxidation of trichloromethane?
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What type of ligand the EDTA is?
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Which of the following compounds has difficulty in breaking of $$\mathrm{C}-\mathrm{X}$$ bond during nucleophilic substi
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What is the change in oxidation number of $$\mathrm{Cr}$$ in the following redox reaction? $$3 \mathrm{H}_2 \mathrm{O}_{
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Equal masses of $$\mathrm{H}_{2(\mathrm{~g})}$$ and $$\mathrm{He}_{(\mathrm{g})}$$ are enclosed in a container at consta
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Identify the reaction intermediate of following reaction.
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What is the number of $$-$$OH groups present in one molecule of ribose?
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What is the position of copper in long form of periodic table?
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What is bond order of F$$_2$$ molecule?
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Which of the following compounds does NOT develop intermolecular hydrogen bonding?
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Which of the following is CORRECT IUPAC name of catechol?
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What is the solubility of gas in water at $$25^{\circ} \mathrm{C}$$ if partial pressure is 0.346 bar [Henry's law consta
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Which from following coloured light has the highest energy?
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Which among the following is haloalkyne?
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Which element from the following possesses half-filled d-orbitals either in expected or in observed electronic configura
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What is the radius of the fourth orbit of hydrogen atom?
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A conductivity cell containing $$5 \times 10^{-4} \mathrm{~M} \mathrm{~NaCl}$$ solution develops resistance $$14000 \mat
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Which among the following statements is NOT true for LDP?
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Equal masses in grams of $$\mathrm{H}_2, \mathrm{~N}_2, \mathrm{Cl}_2$$, and $$\mathrm{O}_2$$, are enclosed in cylinders
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Which of the following compounds is obtained by Rosenmund reduction of benzoyl chloride?
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The partial vapour pressure of any volatile component of a solution is equal to the vapour pressure of the pure componen
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Which from following polymers is grouped in the category of elastomers?
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Which among the following is NOT an example of salt of strong acid and weak base?
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Calculate the edge length of simple cubic unit cell if radius of an atom is $$167.3 \mathrm{~pm}$$.
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What is IUPAC name of following compound?
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Which element from following is used for cancer treatment?
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The rate law for the reaction $$\mathrm{A}+\mathrm{B} \rightarrow \mathrm{C}$$ at $$25^{\circ} \mathrm{C}$$ is given by
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Select the CORRECT increasing order of boiling points of alcohols, amines and carboxylic acids of comparable molar mass
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What is the number of moles of 'C' atoms present in $$\mathrm{n}$$ mole molecule of alkane if it exhibits three structur
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Which of the following reactions is used for the conversion of alkyl chloride to alkyl iodide?
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Mathematics

The equation of the line, passing through $$(1,2,3)$$ and parallel to planes $$x-y+2 z=5$$ and $$3 x+y+z=6$$, is
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$$\lim _\limits{x \rightarrow 0} \frac{x \cot 4 x}{\sin ^2 x \cdot \cot ^2(2 x)} \text { is equal to }$$
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$$\int \frac{1}{\cos ^3 x \sqrt{\sin 2 x}} d x=$$
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The shortest distance (in units) between the lines $$\frac{x+1}{3}=\frac{y+2}{1}=\frac{z+1}{2}$$ and $$\bar{r}=(2 \hat{i
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The maximum value of $$z=7 x+8 y$$ subject to the constraints $$x+y \leq 20, y \geq 5, x \leq 10, x \geq 0, y \geq 0$$ i
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The value of $$\int_\limits0^\pi\left|\sin x-\frac{2 x}{\pi}\right| \mathrm{d} x$$ is
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If $$\mathrm{f}(x)=\sin ^{-1}\left(\frac{2 \log x}{1+(\log x)^2}\right)$$, then $$\mathrm{f}^{\prime}(\mathrm{e})$$ is
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If the pair of lines given by $$(x \cos \alpha+y \sin \alpha)^2=\left(x^2+y^2\right) \sin ^2 \alpha$$ are perpendicular
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The solution of $$\mathrm{e}^{y-x} \frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{y(\sin x+\cos x)}{(1+y \log y)}$$ is
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For $$x>1$$, if $$(2 x)^{2 y}=4 \mathrm{e}^{2 x-2 y}$$, then $$\left(1+\log _e 2 x\right)^2 \frac{d y}{d x}$$ is equal t
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A poster is to be printed on a rectangular sheet of paper of area $$18 \mathrm{~m}^2$$. The margins at the top and botto
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The equation of the normal to the curve $$3 x^2-y^2=8$$, which is parallel to the line $$x+3 y=10$$, is
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An irregular six faced die is thrown and the probability that, in 5 throws it will give 3 even numbers is twice the prob
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If the curves $$y^2=6 x$$ and $$9 x^2+b y^2=16$$ intersect each other at right angle, then value of '$$b$$' is
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The circles $$x^2+y^2+2 \mathrm{a} x+\mathrm{c}=0$$ and $$x^2+y^2+2 b y+c=0$$ touch each other externally, if
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Given $$\mathrm{f}(x)=\left\{\begin{array}{cc}\frac{1-\cos 4 x}{x^2} & , \text { if } x0\end{array}\right.$$ If $$\mathr
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$$A, B, C, D$$ are four points in a plane with position vectors $$\bar{a}, \bar{b}, \bar{c}, \bar{d}$$ respectively such
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Two adjacent of sides parallelogram $$\mathrm{ABCD}$$ are given by $$\overline{\mathrm{AB}}=2 \hat{\mathrm{i}}+10 \hat{\
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The value of $$x$$, for which $$\sin \left(\cot ^{-1}(x)\right)=\cos \left(\tan ^{-1}(1+x)\right)$$, is
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The unit vector which is orthogonal to the vector $$3 \hat{i}+2 \hat{j}+6 \hat{k}$$ and coplanar with the vectors $$2 \h
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A ladder, 5 meters long, rests against a vertical wall. If its top slides downwards at the rate of $$10 \mathrm{~cm} / \
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If $$\vec{a}, \vec{b}, \vec{c}$$ are three non-zero vectors, no two of them are collinear, $$\vec{a}+2 \vec{b}$$ is coll
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If $$|z-2+i| \leq 2$$, then the difference between the greatest and least value of $$|z|$$ is ________, $$(\mathrm{i}=\s
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A box contains 100 tickets numbered 1 to 100 . A ticket is drawn at random from the box. Then the probability, that numb
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If $$\int \frac{\sqrt{1-x^2}}{x^4} \mathrm{~d} x=\mathrm{A}(x)\left(\sqrt{1-x^2}\right)^{\mathrm{m}}+\mathrm{c}$$ for a
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If $$\mathrm{k}_{\mathrm{i}}$$ are possible values of $$\mathrm{k}$$ for which lines $$\mathrm{k} x+2 y+2=0,2 x+\mathrm{
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A tank with a rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 4 meter
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The length (in units) of the projection of the line segment, joining the points $$(5,-1,4)$$ and $$(4,-1,3)$$, on the pl
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If the volume of tetrahedron, whose vertices are $$\mathrm{A}(1,2,3), \mathrm{B}(-3,-1,1), \mathrm{C}(2,1,3)$$ and $$D(-
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Let Statement 1 : If a quadrilateral is a square, then all of its sides are equal. Statement 2: All the sides of a quadr
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The number of words that can be formed by using the letters of the word CALCULATE such that each word starts and ends wi
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The given following circuit is equivalent to
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Water flows from the base of rectangular tank, of depth 16 meters. The rate of flow of the water is proportional to the
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The area (in sq. units) of the smaller part of the circle $$x^2+y^2=\mathrm{a}^2$$ cut off by the line $$x=\frac{\mathrm
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$$\cos ^2 48^{\circ}-\sin ^2 12^{\circ}=$$ _________, if $$\sin 18^{\circ}=\frac{\sqrt{5}-1}{4}$$
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The discrete random variable $$\mathrm{X}$$ can take all possible integer values from 1 to $$\mathrm{k}$$, each with a p
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If $$\tan y=\frac{x \sin \alpha}{1-x \cos \alpha}$$ and $$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{\mathrm{m}}{x^2+2 \ma
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The lengths of sides of a triangle are three consecutive natural numbers and its largest angle is twice the smallest one
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For 20 observations of variable $x$, if $$\sum\left(x_i-2\right)=20$$ and $$\sum\left(x_i-2\right)^2=100$$, then the sta
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Equation of plane containing the line $$\frac{x}{2}=\frac{y}{3}=\frac{z}{4}$$ and perpendicular to the plane containing
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If $$(2+\sin x) \frac{\mathrm{d} y}{\mathrm{~d} x}+(y+1) \cos x=0$$ and $$y(0)=1$$, then $$y\left(\frac{\pi}{2}\right)$$
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If $$A=\left[\begin{array}{cc}2 a & -3 b \\ 3 & 2\end{array}\right]$$ and $$A \cdot \operatorname{adj} A=A A^T$$, then $
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$$\int\left(\frac{\tan \left(\frac{1}{x}\right)}{x}\right)^2 d x=$$
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$$\int \frac{1}{(x+2)(1+x)^2} d x$$ has the value
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If two angles of $$\triangle \mathrm{ABC}$$ are $$\frac{\pi}{4}$$ and $$\frac{\pi}{3}$$, then the ratio of the smallest
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In $$\triangle \mathrm{ABC}, \mathrm{m} \angle \mathrm{B}=\frac{\pi}{3}$$ and $$\mathrm{m} \angle \mathrm{C}=\frac{\pi}{
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If $$\tan ^{-1}\left(\frac{1-x}{1+x}\right)=\frac{1}{2} \tan ^{-1} x$$, then $$x$$ is
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If then $$|\overrightarrow{\mathrm{u}} \times \overrightarrow{\mathrm{v}}| \text { is }$$
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Three fair coins with faces numbered 1 and 0 are tossed simultaneously. Then variance (X) of the probability distributio
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If $$\mathrm{f}(x)=x^2+1$$ and $$\mathrm{g}(x)=\frac{1}{x}$$, then the value of $$\mathrm{f}(\mathrm{g}(\mathrm{g}(\math
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Physics

A glass prism deviates the red and violet rays through $$9^{\circ}$$ and $$11^{\circ}$$ respectively. A second prism of
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Eight small drops of mercury each of radius '$$r$$', coalesce to form a large single drop. The ratio of total surface en
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In the following digital logic circuit, the output Y will be '1' for inputs
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Two different radioactive elements with half lives '$$\mathrm{T}_1$$' and '$$\mathrm{T}_2$$' have undecayed atoms '$$\ma
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The equation of wave motion is $$Y=5 \sin (10 \pi t -0.02 \pi x+\pi / 3)$$ where $$x$$ is in metre and $$t$$ in second.
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A potentiometer wire of length $$4 \mathrm{~m}$$ and resistance $$5 ~\Omega$$ is connected in series with a resistance o
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Select the correct statement from the following.
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End correction at open end for air column in a pipe of length '$$l$$' is '$$e$$'. For its second overtone of an open pip
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In a stationary lift, time period of a simple pendulum is '$$\mathrm{T}$$'. The lift starts accelerating downwards with
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A body is projected vertically upwards from earth's surface of radius '$$R$$' with velocity equal to $$\frac{1^{\text {r
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Which one of the following statements is WRONG regarding LED?
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A thin wire of length '$$L$$' and uniform linear mass density '$$m$$' is bent into a circular coil. The moment of inerti
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A black body radiates maximum energy at wavelength '$$\lambda$$' and its emissive power is '$$E$$'. Now due to a change
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If the charge on the capacitor is increased by 3 coulombs, the energy stored in it increases by $$44 \%$$. The original
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In which figure, the junction diode is forward biased?
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A particle starts from mean position and performs S.H.M. with period 4 second. At what time its kinetic energy is $$50 \
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For polyatomic gases, the ratio of molar specific heat at constant pressure to constant volume is ( $$\mathrm{f}=$$ degr
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A particle is moving in a circle with uniform speed '$$v$$'. In moving from a point to another diametrically opposite po
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Select the WRONG statement from the following. For an isothermal process
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Two concentric circular coils of 10 turns each are situated in the same plane. Their radii are $$20 \mathrm{~cm}$$ and $
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Graph shows the variation of de-Broglie wavelength $$(\lambda)$$ versus $$\frac{1}{\sqrt{V}}$$ where '$$V$$' is the acce
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SI units of self inductance is
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When an inductor '$$L$$' and a resistor '$$R$$' in series are connected across a $$15 \mathrm{~V}, 50 \mathrm{~Hz}$$ a.c
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When an electron is accelerated through a potential '$$V$$', the de-Broglie wavelength associated with it is '$$4 \lambd
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Compare the rate of loss of heat from a metal sphere at $$627^{\circ} \mathrm{C}$$ with the rate of loss of heat from th
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In Balmer series, wavelength of the $$2^{\text {nd }}$$ line is '$$\lambda_1$$' and for Paschen series, wavelength of th
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A coil of '$$n$$' turns and radius '$$R$$' carries a current '$$I$$'. It is unwound and rewound again to make another co
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An ink mark is made on a piece of paper on which a glass slab of thickness '$$t$$' is placed. The ink mark appears to be
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A spherical metal ball of radius '$$r$$' falls through viscous liquid with velocity '$$\mathrm{V}$$'. Another metal ball
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A body of mass '$$\mathrm{m}$$' attached at the end of a string is just completing the loop in a vertical circle. The ap
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Select the WRONG statement from the following. In a streamline flow
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Two point charges '$$q 1$$' and '$$q 2$$' are separated by a distance '$$d$$'. What is the increase in potential energy
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The ratio of intensities of two points on a screen in Young's double slit experiment when waves from the two slits have
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A simple pendulum is oscillating with frequency '$$F$$' on the surface of the earth. It is taken to a depth $$\frac{\mat
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An a.c. source of $$15 \mathrm{~V}, 50 \mathrm{~Hz}$$ is connected across an inductor (L) and resistance (R) in series R
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A ball is projected vertically upwards from ground. It reaches a height '$$h$$' in time $$t_1$$, continues its motion an
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The volume of a metal block increases by $$0.225 \%$$ when its temperature is increased by $$30^{\circ} \mathrm{C}$$. He
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A tuning fork gives 3 beats with $$50 \mathrm{~cm}$$ length of sonometer wire. If the length of the wire is shortened by
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The depth at which acceleration due to gravity becomes $$\frac{\mathrm{g}}{2 \mathrm{n}}$$ is $$(\mathrm{R}=$$ radius of
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Two resistance $$\mathrm{X}$$ and $$\mathrm{Y}$$ are connected in the two gaps of a meterbridge and the null points is o
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Three point charges $$\mathrm{+Q,+2q}$$ and $$+\mathrm{q}$$ are placed at the vertices of a right angled isosceles trian
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Resistor of $$2\Omega$$, inductor of $$100 \mu \mathrm{H}$$ and capacitor of $$400 \mathrm{pF}$$ are connected in series
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An electron makes a full rotation in a circle of radius $$0.8 \mathrm{~m}$$ in one second. The magnetic field at the cen
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In Young's double slit experiment when a glass plate of refractive index 1.44 is introduced in the path of one of the in
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A monoatomic ideal gas initially at temperature '$$\mathrm{T}_1$$' is enclosed in a cylinder fitted with massless, frict
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A tuning fork of frequency $$220 \mathrm{~Hz}$$ produces sound waves of wavelength $$1.5 \mathrm{~m}$$ in air at N.T.P.
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An air craft of wing span $$40 \mathrm{~m}$$ files horizontally in earth's magnetic field $$5 \times 10^{-5} \mathrm{~T}
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In $$\mathrm{P}^{\text {th }}$$ second, a particle describes angular displacement of '$$\beta$$' rad. If it starts from
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Inductance per unit length near the middle of a long solenoid is $$\left(\mu_0=\right.$$ permeability of free space, $$\
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One of the slits in Young's double slit experiment is covered with a transparent sheet of thickness $$2.9 \times 10^{-3}
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