MHT CET 2024 2nd May Evening Shift
Paper was held on Thu, May 2, 2024 9:30 AM
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Chemistry

Which of the following orbitals have same value of $(\mathrm{n}+l)$ as that of 3 d orbital?
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What is the number of moles of sulfur atoms present in n mole molecules of mustard gas?
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Which of the following is a tricarboxylic acid?
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What is the value of slope, if $\log _{10} \mathrm{~K}$ (y-axis) is plotted versus $1 / \mathrm{T}$ ( $x$-axis) for Arrh
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Identify a compound having highest thermal stability.
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Which among the following has highest basic strength?
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Identify the nitrogen atom of purine base that bonds with $1^{\prime}$ carbon of ribose to form ribonucleoside?
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The resistance of a conductivity cell of 0.1 M KCl solution is 120 ohm and conductivity is $1.64 \times 10^{-4} \mathrm{
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What is the percentage of p-bromoanisole formed in the bromination of anisole with bromine in acetic acid?
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Which of the following compounds contains chlorine in +5 oxidation state?
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Which from following n mole molecules of carbohydrate contains 2 n mole molecules of galactose, $n$ moles of glucose and
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 Calculate $\left[\mathrm{H}_3 \mathrm{O}^{+}\right]$ of a monobasic acid if it is $0.04 \%$ dissociated in 0.05 M solut
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Identify an aromatic, mixed, $3^{\circ}$ amine among the following compounds.
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Which of the following changes occurs during the discharging of lead accumulator?
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Identify false statement form following.
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Which form following is a use of polyester fibres?
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Calculate the solubility product of sparingly soluble salt BA at 300 K if its solubility is $9.1 \times 10^{-3} \mathrm{
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Which of the following is a pair of dihydric phenols?
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Which compound is used in medicine as barium meal for intestinal x-ray?
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If 100 L gas is enclosed in a cylinder, absorbs 302.6 J of heat and expands to 200 L against constant external pressure
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What is the molar mass of third member of homologous series if the molar mass of first member is 46 g ?
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Idertify chiral molecule from following.
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Which from following solids exhibits isotropic properties?
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Which from following molecules is tetrahedral?
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Which of the following equations is true for $8.8 \times 10^{-2} \mathrm{~kg}$ of carbon dioxide gas?
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Identify thermosetting polymer from following.
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What is the IUPAC name of following compound?
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Which of the following is true for the value of $\Delta \mathrm{H}-\Delta \mathrm{U}$ at constant volume?
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Which from following nanomaterials has two dimensions less than 100 nm ?
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What is IUPAC name of the following compound?
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Calculate the radius of an atom of metal if it forms simple cubic unit cell with edge length 380 pm.
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Identify dispersed phase and dispersion medium in cheese. .tg {border-collapse:collapse;border-spacing:0;} .tg td{bord
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How many moles of carbon atoms are present in 3.6 kg of carbon?
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Calculate enthalpy change for following reaction. $$\mathrm{H}_2 \mathrm{C}=\mathrm{CH}_{2(\mathrm{~g})}+\mathrm{H}_{2(\
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Identify the product 'B' in the following reaction. Ethylphenyl ketone $\xrightarrow{\mathrm{H}_2 \mathrm{~N}-\mathrm{NH
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Which from following is NOT a lanthonoid element?
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For the reaction, $A+3 B \longrightarrow 2 C$ rate of consumption of A is $1.4 \mathrm{~mol} \mathrm{~dm}^{-3} \mathrm{~
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Identify the major product obtained in the following reaction. Chlorobenzene $\xrightarrow[A \text { Anhydrous } \mathrm
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What is EAN of Cu in $\left[\mathrm{Cu}\left(\mathrm{NH}_3\right)_4\right]^{2+}$ ?
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Calculate the number of unit cells in 10.8 g metal $\left(\varrho a^3=7.2 \times 10^{-22} \mathrm{~g}\right)$
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Calculate van't Hoff factor of 0.2 m aquesous solution of an electrolyte if it freezes at $-$0.7 K $\left[\mathrm{K}_{\m
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What is momentum of a microscopic particle having de Broglie's wavelength 6.0 A? $$\left(\mathrm{h}=6.63 \times 10^{-34}
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Which from following species acts as base ${ }^1$, according to Bronsted-Lowry theory? $$\mathrm{HCl}+\mathrm{NH}_3 \tex
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Which of the following reactions represents Clemmensen reduction?
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Which from following catalysts is used in the Haber's process for manufacture of ammonia?
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In a first order reaction if concentartion of reactant drops from $0.8 \mathrm{~mol} \mathrm{~L}^{-1}$ to $0.4 \mathrm{~
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Calculate the quantity of electricity required to liberate 0.1 mole of chlorine gas during electrolysis of molten sodium
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What is IUPAC name of $\left(\mathrm{CH}_3\right)_4 \mathrm{C}$ ?
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Find the total number of moles of donor atoms present in one mole trioxalatocobaltate(III) ion.
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Calculate the molar mass of non volatile solute when 5 g of it is dissolved in 50 g solvent, boils at $119.6^{\circ} \ma
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Mathematics

Two tangents drawn from $\mathrm{P}(1,7)$ to the circle $x^2+y^2=25$, touch the circle at Q and R respectively. The area
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Let $X=\left[\begin{array}{l}\mathrm{a} \\ \mathrm{b} \\ \mathrm{c}\end{array}\right], \mathrm{A}=\left[\begin{array}{cc
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Let in a Binomial distribution, consisting of 5 independent trials, probabilities of exactly 1 and 2 successes be 0.4096
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The unit vector which is orthogonal to the vector $5 \hat{i}+2 \hat{j}+6 \hat{k}$ and is coplanar with the vectors $2 \h
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The probability distribution of a random variable X is given by .tg {border-collapse:collapse;border-spacing:0;} .tg t
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If $\int \frac{x+1}{\sqrt{2 x-1}} \mathrm{~d} x=\mathrm{f}(x) \sqrt{2 x-1}+\mathrm{c}$, (where c is a constant of integr
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If $\alpha+\beta+\gamma=\pi$, then the expression $\sin ^2 \alpha+\sin ^2 \beta-\sin ^2 \gamma$ has the value
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Let $\overline{\mathrm{A}}=2 \hat{\mathrm{i}}+\hat{\mathrm{k}}, \overline{\mathrm{B}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+
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Distance between the parallel lines $\frac{x}{3}=\frac{y-1}{-2}=\frac{z}{1}$ and $\frac{x+4}{3}=\frac{y-3}{-2}=\frac{z+2
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If $\mathrm{f}(x)=\log _{x^2}\left(\log _{\mathrm{e}} x\right)$, then $\mathrm{f}^{\prime}(x)$ at $x=\mathrm{e}$ is
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A body cools according to Newton's law of cooling from $100^{\circ} \mathrm{C}$ to $60^{\circ} \mathrm{C}$ in 15 minutes
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The value of k , for which the function $$\mathrm{f}(x)= \begin{cases}\left(\frac{4}{5}\right)^{\frac{\ln 4 x}{\tan 5 x}
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The co-ordinates of a point on the curve $y=x \log x$ at which the normal is parallel to the line $2 x-2 y=3$ are
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The value of $\mathrm{I}=\int_\limits{\sqrt{\log _{\mathrm{e}}}}^{\sqrt{\log _{\mathrm{e}} 3}} \frac{x \sin x^2}{\sin x^
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The value of $\mathrm{I}=\int \frac{\mathrm{d} x}{x^2\left(x^4+1\right)^{\frac{3}{4}}}$ 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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The value of C for which Mean value Theorem holds for the function $\mathrm{f}(x)=\log _e x$ on the interval $[1,3]$ is
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The shaded region in the following figure is the solution set of the inequations
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The diagonals of a parallelogram $A B C D$ are along the lines $x+3 y=4$ and $6 x-2 y=7$. Then ABCD must be a
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If $x=\sec \theta-\cos \theta, y=\sec ^{10} \theta-\cos ^{10} \theta$ and $\left(x^2+4\right)\left(\frac{d y}{d x}\right
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If $y=y(x)$ is the solution of the differential equation $\left(\frac{5+\mathrm{e}^x}{2+y}\right) \frac{\mathrm{d} y}{\m
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The equation of the plane, passing through the mid point of the line segment of join of the points $\mathrm{P}(1,2,5)$ a
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If C is a given non-zero scalar and $\overline{\mathrm{A}}$ and $\overline{\mathrm{B}}$ are given non-zero vectors such
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If the equation $7 x^2-14 x y+p y^2-12 x+q y-4=0$ represents a pair of parallel lines then the value of $\sqrt{p^2+q^2-p
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If $\mathrm{P}(x, y)$ denotes $\mathrm{z}=x+\mathrm{i} y x, y \in \mathbb{R}$ and $\mathrm{i}=\sqrt{-1}$ in Argand's pla
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The general solution of $2 \sqrt{3} \cos ^2 \theta=\sin \theta$ is
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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)$ is equ
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The area of the triangle, whose vertices are $A \equiv(1,-1,2), B \equiv(2,1,-1)$ and $C \equiv(3,-1,2)$, is
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The maximum value of the function $$f(x)=3 x^3-18 x^2+27 x-40$$ on the set $\mathrm{S}=\left\{x \in \mathbb{R} / x^2+30
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$\tan \left(\frac{\pi}{4}+\frac{1}{2} \cos ^{-1}\left(\frac{\mathrm{a}}{\mathrm{b}}\right)\right)+\tan \left(\frac{\pi}{
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Consider three observations $\mathrm{a}, \mathrm{b}$ and c such that $b=a+c$. If the standard deviation of $\mathrm{a}+2
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The area (in sq. units) bounded by the curves $y=\sqrt{x}, 2 y-x+3=0, X$-axis and lying in the first quadrant is
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If the lengths of the sides of triangle are 3,5,7, then the largest angle of the triangle is
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If $\mathrm{f}(x)=\sin ^{-1}\left(\frac{2 \cdot 3^x}{1+9^x}\right)$, then $\mathrm{f}^{\prime}\left(\frac{1}{2}\right)$
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$\int\left(\mathrm{f}(x) \mathrm{g}^{\prime \prime}(x)-\mathrm{f}^{\prime \prime}(x) \mathrm{g}(x)\right) \mathrm{d} x$
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The value of $\tan \left(2 \tan ^{-1}\left(\frac{\sqrt{5}-1}{2}\right)\right)$ is
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Number of different nine digit numbers, that can be formed from the digits in the number 223355888 by rearranging its di
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If $\overline{\mathrm{a}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}$ and $\bar{b}=\hat{i} \times(\bar{a} \t
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The equation of normal to the curve $x=\theta+\sin \theta, y=1+\cos \theta$ at $\theta=\frac{\pi}{2}$ is
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The equation of the line, through $\mathrm{A}(1,2,3)$ and perpendicular to the vector $2 \hat{\mathrm{i}}+\hat{\mathrm{j
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$\int \frac{\log \sqrt{x}}{3 x} \mathrm{dx}$ is equal to
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The negation of contrapositive of the statement $\mathrm{p} \rightarrow(\sim \mathrm{q} \wedge \mathrm{r})$ is
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If $\mathrm{F}(x)=\left(\mathrm{f}\left(\frac{x}{2}\right)\right)^2+\left(\mathrm{g}\left(\frac{x}{2}\right)\right)^2$,
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Let $P$ be the image of the point $(3,1,7)$ with respect to the plane $x-y+z=3$. Then the equation of the plane passing
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Let $f(\theta)=\sin \left(\tan ^{-1}\left(\frac{\sin \theta}{\sqrt{\cos 2 \theta}}\right)\right)$, where $\frac{-\pi}{4}
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The approximate value of $\sqrt[3]{0.026}$ is
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The incentre of the triangle whose vertices are $P(0,3,0), Q(0,0,4)$ and $R(0,3,4)$ is
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A random variable $X$ has the following probability distribution .tg {border-collapse:collapse;border-spacing:0;} .tg
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$\lim _\limits{x \rightarrow 0} \frac{\sin \left(\pi \cos ^2 x\right)}{x^2}$ is equal to
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Which one of the following is the pair of equivalent circuits?
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Physics

A ferromagnetic material is heated above its curie temperature. The correct statement from the following is that
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The number of photoelectrons emitted for light of frequency $v$ (higher than the threshold frequency $\left(v_0\right)$
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The amount of work done in increasing the voltage across the plates of a capacitor form 5 V to 10 V is ' W '. The work d
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Liquid drops are falling slowly one by one from vertical glass tube. The relation between the weight of a drop ' $w$ ',
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A solid sphere of mass ' $m$ ', radius ' $R$ ', having moment of inertia about an axis passing through center of mass as
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Rate of flow of heat through a cylindrical rod is ' $\mathrm{H}_1$ '. The temperature at the ends of the rod are ' $T_1$
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A ball rises to surface at a constant velocity in liquid whose density is 4 times greater than that of the material of t
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An air cored coil has self inductance of 0.1 H . A soft iron core of relative permeability 1000 is introduced and the nu
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$\mathrm{L}=2 \mathrm{H}, \mathrm{C}=5 \mathrm{mF}$ and $\mathrm{R}=12 \Omega$ are connected in series to an a.c. genera
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An electron of stationary Hydrogen atom passes from fifth energy level to ground level. The velocity that the atom acqui
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A diffraction pattern is obtained using a beam of red light. If red light is replaced by blue light then
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The magnetic energy in an inductor changes from maximum value to minimum value in 5 ms . When connected to an a.c. sourc
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Which of the following statement is correct?
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The potential barrier in p-n junction diode is due to
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An inclined plane makes an angle of $30^{\circ}$ with the horizontal. A solid sphere rolling down this inclined plane fr
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A fixed mass of gas at constant pressure occupies a volume ' V '. The gas undergoes a rise in temperature so that the r.
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When cell of E.M.F. ' $E_1$ ' is connected to potentiometer wire, the balancing length is $l_1$. Another cell of E.M.F.
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The logic gate combination circuit shown in the figure performs the logic function of
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In an isobaric process
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A concave mirror of focal length ' $f$ ' produces an image ' $n$ ' time the size of the object. If the image is real, th
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A drum of radius ' $R$ ' full of liquid of density ' $d$ ' is rotated at angular velocity ' $\omega$ ' $\mathrm{rad} / \
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In a vibrating string with fixed ends the waves are of type
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The focal length of combination of lenses formed with lenses having power of +2.50 D and $-3.75$ D will be
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The current flowing in a coil is 3 A and the power consumed is 108 W . If the a.c. source is of $120 \mathrm{~V}, 50 \ma
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In the following circuit, the current flowing through zener diode is
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The mass of the lift is 200 kg , when it ascends with an acceleration of $4 \mathrm{~m} / \mathrm{s}^2$ then the tension
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The average translational kinetic energy of nitrogen (molar mass 28) molecules at a particular temperature is 0.042 eV .
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A spring has a certain mass suspended from it and its period of vertical oscillations is $T_1$. The spring is now cut in
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The intensity ratio of the maxima and minima in an interference pattern produced by two coherent sources of light is $9:
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The coil and magnet are moved in the same direction with same speed (V). The induced e.m.f. is
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A driver applies the brakes on seeing the red traffic signal 400 m ahead. At the time of applying brakes, the vehicle wa
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The driver of a car travelling with a speed ' $V_1$ ' $\mathrm{m} / \mathrm{s}$ towards a wall sounds a siren of frequen
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A stretched string is fixed at both ends. It is made to vibrate so that the total number of nodes formed in it is ' $x$
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Three long, straight parallel wires carrying currents are arranged as shown. The wire C which carries a current of 5.0 A
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Which of the following statements about the Bohr model of the hydrogen atom is false?
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Two points separated by a distance of 0.1 mm can just be seen in microscope when light of wavelength $6000 \mathop A\lim
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In the following circuit, the current $\mathrm{I_2}$ is
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The first operation involved in a carnot cycle is
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The gravitational potential energy required to raise a satellite of mass ' $m$ ' to height ' $h$ ' above the earth's sur
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The core used in transformer and other electromagnetic devices is laminated to
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The temperature at which r.m.s. velocity of hydrogen molecules is 4.5 times that of an oxygen molecule at $47^{\circ} \m
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A sonometer wire is stretched by hanging a metal bob. The fundamental frequency of vibration of wire is ' $n_1$ '. When
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For a body performing simple harmonic motion, its potential energy is $\mathrm{E}_{\mathrm{x}}$ at displacement x and $\
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Charge on a parallel plate capacitor of capacity C is Q , the electric field intensity between its two plates separated
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Four point charges each +q is placed on the circumference of a circle of diameter 2 d in such a way that they form a squ
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A meter scale is supported on a wedge at its centre of gravity. A body of weight ' $w$ ' is suspended from the 20 cm mar
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The stopping potential for a photelectric emission process is 10 V . The maximum kinetic energy of the electrons ejected
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Cyclotron is used to
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The displacement of a particle performing S.H.M. is given by $Y=A \cos [\pi(t+\phi)]$. If at $\mathrm{t}=0$, the displac
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The string of pendulum of length ' $L$ ' is displaced through $90^{\circ}$ from the vertical and released. Then the maxi
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