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If a spring extends by x on loading, then energy stored by the spring is (T is the tension in the spring and k is the spring constant)
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A man standing on a tum-table is rotating at a certain angular frequency with his arms outstretched. He suddenly folds his arms. If his moment of inertia with folded arms is 75% of that with outstretched arms, his rotational kinetic energy will
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The radii of two copper spheres are in the ratio 1 : 3 and their temperatures are in the ratio 9 : 1. The ratio of heat content in them will be:
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A satellite is orbiting close to the earth above the equator with a period of rotation of 1.5 hours. If it is above a point x on the equator at some time, then after how much time will it be above x again?
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In any reversible isothermal expansion, the entropy of gas will ______.
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A magnetised needle of magnetic moment 4.8 × 10-2 Am2 is placed at 30° with the direction of uniform magnetic field of magnitude 3 × 10-2 T. What is the torque acting on the needle?
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Calculate the angular momentum of a particle of mass 5 mg revolving about a circle of radius 60 cm with a speed of 2 km/s.
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The width of two slits in young's experiment are in the ratio of 9 : 4. What will be the intensity ratio of maxima and minima in the interference pattern?
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When 1 kg of ice at 0°C melts to water at 0°C, the resulting change in its entropy, taking latent heat of ice to be 80 cal/°C is:
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When a magnetic dipole is placed in a uniform magnetic field, a couple acts on it. The moment of the couple will be maximum when the dipole is placed ______
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The dimensional formula for latent heat is ______.
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If area (A), velocity (V) and density (p) are taken as fundamental units, what is the dimensional formula for force?
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Two circular coils have their centres at the same point. The mutual inductance between them will be maximum when their axes ______
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The angular momentum of the wheel changes from 3 L to 7 L in 4 sec. What is the magnitude of torque acting on it?
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In a double slit experiment light has a frequency of 6 × 1014 s-1. The distance between the centres of adjacent bright fringes is 0.75 mm."What is the distance between the slits if the screen is 1.5 m away?
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A thin mica sheet of thickness 2 × 10-6 m and refractive index (µ = 1.5) is introduced in the path of the first wave. The wavelength of the wave used is 5000 Å. The central bright maximum will shift ______.
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A small block slides down on a smooth inclined plane, starting from rest at time t = 0. Let Sn be the distance travelled by the block in the interval t = n − 1 to t = n. Then, the ratio `("S"_"n")/("S"_("n" + 1))` is ______.
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A uniform rod of length 200 cm and mass 500 g is balanced on a wedge placed at 40 cm mark. A mass of 2 kg is suspended from the rod at 20 cm and another unknown mass ‘m’ is suspended from the rod at 160 cm mark as shown in the figure. Find the value of ‘m’ such that the rod is in equilibrium. (g = 10 m/s2)

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Two conducting circular loops of radii R1 and R2 are placed in the same plane with their centres coinciding. If R1 > > R2, the mutual inductance M between them will be directly proportional to ______.
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A small block slides down on a smooth inclined plane, starting from rest at time t = 0. Let Sn be the distance travelled by the block in the interval t = n − 1 to t = n. Then, the ratio `"S"_"n"/"S"_("n" + 1)` is ______
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