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Statement 1: Periodicity of sin(x/2).cos(x/2) is 2pi Statement 2: Periodicity of f(x). g(x) is found by taking the LCM of their periodicities ...
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Which of the following quantum numbers are not permitted? ...
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Derivative of sin3x + cos3x is given by ...
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Section-II: Multiple correct answers Which of the following pairs have identical shapes? ...
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Which of the following is a maxima for the functions given ...
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For the reaction PCl5→PCl3+Cl2 the total pressure of the system at any time 't' is P1 and the pressure at infinite time is P2 then ...
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Which of the following is strictly monotonic functions ...
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MULTIPLE CHOICE QUESTIONS FOLLOW In which of the following following, Can Rolle's theorem be applied? (All values are in radians unless specified) ...
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The ratio of energy of electron in H (in nth orbit) and He+(in mth orbit) is X then the ratio of the radius of orbits(n : m) is ...
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x=a cost y=b sint find d2x/dy2 ...
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For x in the interval [-10,5] what is the maximum value attained by x2+2x-5 ...
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Period of sin x is 2.pi period of {sin(x/2) - cos(x/2)}2 is also 2.pi What is the period of their sum? ...
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The molecule having the highest bond strength is ...
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f(x) = sin x (in Radian) g(x) = [x] If The number of points of discontinuities of composite function f(g(x)) in the interval [-2pi, 2pi] is N while The number of points of discontinuities of composite function g(f(x)) ...
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In a container oxygen and hydrogen are present. Some weight of gases escapes. Now same weight (gas escaped) of methane is added so that the total pressure of the mixture remains same. The weight percent (of gas escaped) of hy ...
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A Function can be written as the sum of even and odd function ...
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Find Lim (sinx - x) x->0 x2 ...
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In Hexagonal close packing X occupy all the lattice positions, Y occupy 2/3 tetrahedral holes and Z occupies 1/3 octahedral holes. The empirical formula of the compound is ...
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*Image* A dissociate in parallel to form B and C. A to B follow zero order reaction while A to C follow first order reaction. The rate constant for the zero order reaction is K and for first order it is 2K. The time time take ...
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Section-I: Straight Objective type 90 gm of a metal reacts with 40 gm of oxygen to form metal oxide. The metal oxide requires 10 ml of 1/3 N of oxidizing agent to oxidise to M5+. The molecular weight of the metal is ...
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a space walking astraunot ,floating freely in space at rest relative to his rocket ,watches the rocket's engine briefly ignite.The statements below refer to the change in the rocket's kinetic energy and momentum,and t ...
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dot product of force and velocity is? ...
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a ball thrown downward from a tall building ,attains constant velocity .if the action is the force of gravity on the ball,the reaction from newton's 3rd law of motion is? ...
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An infinite current carrying wire passes through point O and is perpendicular to the plane containing a current carrying loop ABCD as shown in the figure. Choose the correct option *Image* ...
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A rectangular loop carrying a current i is situated near a long straight wire such that the wire is parallel to one of the sides of the loop and is in the plane of loop. If steady current I is established in the wire as shown ...
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A circular loop of wire is carrying a current i (as shown in the figure). On applying a uniform magnetic field inward perpendicular to the plane of the loop, the loop *Image* ...
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Two particles each of mass m and charge q are attached to the two ends of a light rod of length 2R. The rod is rotated at constant angular speed about a perpendicular axis passing through its centre. The ratio of the magnitud ...
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A wire of length L metres carrying a current i amperes is bent in the form of a circle. The magnitude of its magnetic moment is ...
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A neutron, a proton, an electron and an alpha particle enter a region of constant magnitude field with equal velocities. The magnetic field is along the inward normal to the plane of paper. The tracks of the particles are sho ...
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A wire ABCDEF (with each side of length L) bent as shown in the figure and carrying a current I is placed in a uniform magnetic induction B parallel to the positive y-direction. The force experienced by the wire is *Image* ...