MHT CET 2019 3rd May Morning Shift
Paper was held on Fri, May 3, 2019 3:30 AM
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Chemistry

.What is the shape and magnetic nature of permanganate ion?
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Which of the following oxides can act both as an oxidising agent as well as reducing agent?
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"The mass and energy both are conserved in an isolated system", is the statement of
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Which among the following is correct for electrolysis of brine solution?
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The number of pi-bonds present in benzoic acid molecule are
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The elevation in boiling point of 0.25 molal aqueous solution of a substance is $\left(K_o=0.52 \mathrm{~K} \mathrm{~kg}
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The combining ratios of hydrogen and oxygen in water and hydrogen peroxide are $1: 8$ and $1: 16$. Which law is illustra
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If a metal crystallises in bcc structure with edge length of unit cell $4.29 \times 10^{-8} \mathrm{~cm}$ the radius of
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The temperature of $32^{\circ} \mathrm{C}$ is equivalent to
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The element which does not belong to group 15 is
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The precipitation power of an electrolyte increases with
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In leaching of alumina from bauxite by Bayer's process, then ore is treated with
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The diagonal relationship in Be and Al is due to
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Carbolic acid is oxidised by acidified sodium dichromate to give
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The highest oxidation state in plutonium (At. no. $=94$) is
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In the electrolysis of aqueous sodium chloride with inert electrodes the products obtained at anode and cathode respecti
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What type of hybridisation is present in carbocation formed during the alkaline hydrolysis of 1 - bromo-1-phenyl ethane?
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The integrated rate equation for first order reaction, $A \rightarrow$ product, is
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Calculate E.M.F. of following cell at 298 K $\mathrm{Zn}(s)\left|\mathrm{ZnSO}_4(0.01 \mathrm{M})\right|\left|\mathrm{Cu
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Which mixture is used for respiration by deep sea divers?
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Which element among the following is not present in saccharine?
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Which among the following statements is true about Schottky defect?
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Which among the following salts, solubility decreases with increase in temperature?
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Soaps are the sodium or potassium salts of higher fatty acids, containing number of carbon atoms more than,
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Oxidation state of nitrogen in nitric oxide is
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Which of the following does not give yellow solid on treatment with sodium hypoiodite?
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The shape of BrF$_5$ molecule is
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The alkane formed on heating sodium butanoate with sodalime is
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A gas performs 0.320 kJ work on surrounding and absorbs 120 J of heat from the surrounding. Hence, change in internal en
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For the elementary reaction, $3 \mathrm{H}_2(g)+\mathrm{N}_2(g) \longrightarrow 2 \mathrm{NH}_3(g)$ identify the correct
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Natalite is a mixture of
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In which among the following compounds, oxidation number of nitrogen is +5 ?
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18 gram glucose (Molar mass $=180$ ) is dissolved in 100 ml of water at 300 K . If $R=3$ $0.0821 \mathrm{~L}{-\mathrm{a
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A flavouring agent found in oil of wintergreen is
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Which of the following is not the mineral of iron?
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Which of the following metal halide is more covalent?
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How many primary amines are possible for molecular formula $\mathrm{C}_3 \mathrm{H}_9 \mathrm{~N}$ ?
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The conversion of 2-methylpropan-1-ol to 2-methylpropan-2-ol is
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A polymer which becomes soft on heating and hard on cooling, belongs to class of
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The effective atomic number of $\operatorname{Iron}(z=26)$ in $\left[\mathrm{Fe}(\mathrm{CN})_6\right]^{-3}$ is
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Which bond in a molecule of ethyl magnesium bromide is ionic in nature?
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Based on first law of thermodynamics which of the following is correct
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IUPAC name of the complex Ba[ $\left.\mathrm{CuCl}_4\right]$ is
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Hinsberg's reagent is
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Which among the following polymer does not show cross linking in it ?
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The vitamin that belongs to aromatic series is
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Which of the following is not present in DNA?
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The SI unit of electrochemical equivalent is
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The correct order of boiling points of alkyl halides is
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The molar conductivities at infinite dilution for sodium acetate, HCl and NaCl are $91 \mathrm{~S} \mathrm{~cm}{ }^2$ $\
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Mathematics

The vector equation of the plane $\mathbf{r}=(2 \hat{\mathbf{i}}+\hat{\mathbf{k}})+\lambda(\hat{\mathbf{i}})+\mu(\hat{\m
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. Area of the region bounded by $y=\cos x, x=0$, $x=\pi$ and $X$-axis is ... sq. units.
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The length of the latusrectum of an ellipse is $\frac{18}{5}$ and eccentricity is $\frac{4}{5}$, then equation of the el
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Let $a: \sim(p \wedge \sim r) \vee(\sim q \vee s)$ and $b:(p \vee s) \leftrightarrow(q \wedge r)$. If the truth values o
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5. "If two triangles are congruent, then their areas are equal" is the given statement then the contrapositive of, the i
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$$\int \log x \cdot[\log (e x)]^{-2} d x=\ldots$$
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If $y=\log \left[\frac{x+\sqrt{x^2+25}}{\sqrt{x^2+25}-x}\right]$ then $\frac{d y}{d x}=\ldots \ldots$
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If the scalar triple product of the vectors $-3 \hat{\mathbf{i}}+7 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}, 3 \hat{\mathbf{i
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- The edge of a cube is decreasing at the rate of $0.04 \mathrm{~cm} / \mathrm{sec}$. If the edge of the cube is 10 cms
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The joint equation of lines passing through origin and having slopes $(1+\sqrt{2})$ and $\frac{-1}{1+\sqrt{2}}$ is .....
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If $r$ is the radius of spherical balloon at time $t$ and the surface area of balloon changes at a constant rate $K$, th
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$$\int_0^{\frac{\pi}{2}} \sqrt{\cos \theta} \cdot \sin ^3 \theta d \theta=$$ ............
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If $\omega$ is a complex cube root of unity and $A=\left[\begin{array}{ccc}\omega & 0 & 0 \\ 0 & \omega^2 & 0 \\ 0 & 0 &
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If $A$ and $B$ are square matrices of order 3 such that $|A|=2,|B|=4$, then $|A(\operatorname{adj} B)|=\ldots$
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If $\int \frac{1}{1-\cot x} d x=A x+B \log |\sin x-\cos x|+c$ then $A+B=\ldots \ldots$
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The polar co-ordinates of $P$ are $\left(2, \frac{\pi}{6}\right)$. If $Q$ is the image of $P$ about the $X$-axis then th
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$\mathbf{a}$ and $\mathbf{b}$ are non-collinear vectors. If $\mathbf{c}=(x-2) \mathbf{a}+\mathbf{b}$ and $\mathbf{d}=(2
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Let $X$ be the number of successes in ' $n$ ' independent Bernoulli trials with probability of success $p=\frac{3}{4}$.
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The slope of normal to the curve $x=\sqrt{t}$ and $y=t-\frac{1}{\sqrt{t}}$ at $t=4$ is ..........
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Which of the following statement pattern is a tautology?
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The acute angle between lines $x-3=0$ and $x+y=19$ is.......
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In $\triangle A B C$, with the usual notations, if $\left(\tan \frac{A}{2}\right)\left(\tan \frac{B}{2}\right)=\frac{3}{
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If sum of the slopes of the lines given by $x^2-4 p x y+8 y^2=0$ is three times their product then $p=$ ...........
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$$\frac{1-2\left[\cos 60^{\circ}-\cos 80^{\circ}\right]}{2 \sin 10^{\circ}}=\ldots \ldots$$
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The order of the differential equation of all circles which lie in the first quadrant and touch both the axes is......
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If $f(x)$ is continuous at $x=3$, where $$\begin{aligned} f(x) & =a x+1, & \text { for } x \leq 3 \\ & =b x+3 & , \text
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The probability that three cards drawn from a pack of 52 cards, all are red is
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For any non zero vector, a, b, c $\mathbf{a} \cdot[(\mathbf{b}+\mathbf{c}) \times(\mathbf{a}+\mathbf{b}+\mathbf{c})]=$ .
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The domain of the real valued function $f(x)=\sqrt{\frac{x-2}{3-x}}$ is......
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If $y=\tan ^{-1}\left(\frac{1-\cos 3 x}{\sin 3 x}\right)$, then $\frac{d y}{d x}=$ .......
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If $z=a x+b y ; a, b>0$ subject to $x \leq 2, y \leq 2, x+y \geq 3, x \geq 0, y \geq 0$ has minimum value at $(2,1)$ onl
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The direction ratios of the normal to the plane passing through origin and the line of intersection of the planes $x+2 y
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$$\begin{aligned} &\text { The pdf of a random variable } X \text { is }\\ &\begin{aligned} f(x) & =3\left(1-2 x^2\right
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The eccentricity of the hyperbola $25 x^2-9 y^2=225$ is .......
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If $f(x)=x+\frac{1}{x}, x \neq 0$, then local maximum and minimum values of function $f$ are respectively.......
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Derivative of $\sin ^{-1}\left(\frac{t}{\sqrt{1+t^2}}\right)$ with respect to $\cos ^{-1}\left(\frac{1}{\sqrt{1+t^2}}\ri
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A player tosses 2 fair coins. He wins Rs. 5 if 2 heads appear, Rs. 2 If 1 head appear and Rs. 1 if no head appears, then
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In $\triangle A B C$, with the usual notations, if $\sin B \sin C=\frac{b c}{a^2}$, then the triangle is. ...........
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If $A=\left\{x \in R / x^2+5|x|+6=0\right\}$ then $n(A)=\ldots \ldots$
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$$\int \frac{d x}{(\sin x+\cos x)(2 \cos x+\sin x)}=$$
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The solution of differential equation $\left(x^2+1\right) \frac{d y}{d x}+\left(y^2+1\right)=0$ is $\ldots$
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$\sin \left[3 \sin ^{-1}(0.4)\right]=\ldots \ldots$
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If line $\frac{2 x-4}{\lambda}=\frac{y-1}{2}=\frac{z-3}{1}$ and $\frac{x-1}{1}=\frac{3 y-1}{\lambda}=\frac{z-2}{1}$ are
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For a sequence $\left(t_n\right)$, if $S_n=5\left(2^n-1\right)$ then $t_n=$ .........
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$$\begin{aligned} & \text { If } f(x)=\left[\tan \left(\frac{\pi}{4}+x\right)\right]^{\frac{1}{x}}, \quad x \neq 0 \\ &
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Which of the following function has period 2?
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Which of the following can not be the direction cosines of a line?
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If $A, B, C$ are $p^{\text {th }}, q^{\text {th }}$ and $r^{\text {th }}$ terms of a GP respectively then $A^{q-r} \cdot
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$$\int_{\frac{\pi}{18}}^{\frac{4 \pi}{9}} \frac{2 \sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}} d x=\ldots \ldots$$
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The maximum value of $Z=5 x+4 y$, Subject to $y \leq 2 x, x \leq 2 y, x+y \leq 3, x \geq 0, y \geq 0$ is ........
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Physics

In amplitude modulation, the amplitude of carrier wave is $A_c$ and that of the modulating signal is $A_m$. In practice,
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A pipe open at both ends and a pipe closed at one end have same length. The ratio of frequencies of their $P^{\text {th
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Glass has refractive index $\mu$ with respect to air and the critical angle for a ray of light going from glass to air i
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Maximum kinetic energy gained by the charged particle in the cyclotron is independent of
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A molecule of water on the surface experiences a net
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The magnifying power of a telescope is nine. When it is adjusted for parallel rays, the distance between the objective a
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The SI unit and dimensions of Stefan's constant $\sigma$ in case of Stefan's law of radiation is
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In a hydrogen atom, an electron of charge $e$ revolves in a orbit of radius $r$ with speed $v$. Then, magnetic moment as
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$V-I$ characterstics of LED is shown correctly by graph
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The stopping potential of the photoelectrons, from a photo cell is
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The refractive index of the material of crystal is 1.68 and that of castor oil is 1.2. When a ray of light passes from o
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Consider a particle of mass $m$ suspended by a string at the equator. Let $R$ and $M$ denote radius and mass of the eart
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Six very long insulated copper wires are bound together to form a cable. The currents carried by the wires are $I_1=+10
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The fundamental frequency of sonometer wire increases by 9 Hz , if its tension is increased by $69 \%$, keeping the leng
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In case of dimensions of electric field and electric dipole moment the power of mass is reswpectively,
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A potentiometer wire has length $L$ For given cell of emf $E$, the balancing length is $\frac{L}{3}$ from the positive e
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For homogeneous isotropic material, which one of the following cannot be the value of Poisson's ratio?
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A mass is whirled in a circular path with constant angular velocity and its linear velocity is $v$. If the string is now
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A circular coil and a square coil is prepared from two identical metal wires and a current is passed through it. Ratio o
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In Young's double slit experiment fifth dark fringe is formed opposite to one of the slit. IID is the distance between t
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Figure show the circular coil carrying current $I$ kept very close but not touching at a point $A$ on a straight conduct
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A 220 V input is supplied to a transformer. The output circuit draws a current of 2.0 A at 440 V . If the ratio of outpu
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A sonometer wire is in unison with a tuning fork, when it is stretched by weight $w$ and the corresponding resonating le
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If the speed of an electron of hydrogen atom in the ground state is $2.2 \times 10^6 \mathrm{~m} / \mathrm{s}$, then its
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A rod $l \mathrm{~m}$ long is acted upon by a couple as shown in the figure. The moment of couple is $\tau \mathrm{~Nm}$
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The vectors $(\mathbf{A}+\mathbf{B})$ and $(\mathbf{A}-\mathbf{B})$ are at right. angles to each other. This is possible
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A coil has inductance 2 H . The ratio of its reactance, when it is connected first to an $A C$ source and then to DC sou
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A person measures a time period of a simple pendulum inside a stationary lift and finds it to be $T$. If the lift starts
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A charged conductor produces an electric field of intensity $10^3 \mathrm{~V} / \mathrm{m}$ just outside its surface in
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In damped SHM, the SI unit of damping constant is
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A wire of length $L$ and radius $r$ is rigidly fixed at one end. On stretching the other end of the wire with a force $F
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When certain metal surface is illuminated with a light of wavelength $\lambda$, the stopping potential is $V$, When the
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Which of the following regions of a transistors are, respectively, heavily dopped and lightly dopped?
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A hole is drilled half way to the centre of the earth. A body weighs 300 N on the surface of the earth. How much will, i
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Eight identical drops of water falling through air with uniform velocity of $10 \mathrm{~cm} / \mathrm{s}$ combine to fo
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A solid sphere rolls down from top of inclined plane, 7 m high, without slipping. Its linear speed at the foot of plane
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A body of mass $m$ is performing a UCM in a circle of radius $r$ with speed $v$. The work done by the centripetal force
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Which of the following is the dimensional formula for electric polarisation?
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The phenomenon of interference is based on
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A vector $P$ has $X$ and $Y$ components of magnitude 2 units and 4 units respectively. A vector $Q$ along negative $X$-a
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A magnetizing field of $5000 \mathrm{~A} / \mathrm{m}$ produces a magnetic flux of $4 \times 10^{-5} \mathrm{~Wb}$ in an
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When a large bubble rises from bottom of a water lake to its surface, then its radius doubles. If the atmospheric pressu
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A block of mass $M$ is pulled along a smooth horizontal surface with a rope of mass $m$ by force $F$. The acceleration o
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In the network shown cell E has internal resistance $r$ and the galvanometer shows zero deflection. If the cell is repla
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In hydrogen emission spectrum, for any series, the principal quantum number is $n$. Corresponding maximum wavelength $\l
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$\left[\mathrm{L}^2 \mathrm{M}^1 \mathrm{~T}^{-2}\right]$ are the dimensions of
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For formation of beats, two sound notes must have
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If the radius of the circular path and frequency of revolution of a particle of mass $m$ are doubled, then the change in
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The total energy of a simple harmonic oscillaior is proportional to
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The rms speed of oxygen molecule in a gas is $u$, If the temperature is doubled and the molecules dissociates into two a
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