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A metal rod of length L and cross-sectional area A is heated through T °C. What is the force required to prevent the expansion of the rod lengthwise?

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Important Questions on JEE Main & Adv./BITSAT/KERALA CEE/KCET AP & TS EAMCET/VIT/MHT CET

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 An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency 10 GHz. What is the frequency of the microwave measured by the observer? (Speed of light =3×108 m s-1.)
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The following observations were taken for determining surface tension T of water by capillary method. Diameter of capillary d=1.25×10-2 m, rise of water h=1.45×10-2 m. Using g=9.80 m s-2 and the simplified relation, T=rhg2×103 N m-1, the possible error in surface tension is closest to
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A body of mass m=10-2 kg is moving in a medium and experiences a frictional force F=-kv2 N. Its initial speed is v0=10 m s-1. If after 10 s, its energy is 18mv02 J, the value of k will be,
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The moment of inertia of a uniform cylinder of length l and radius R about its perpendicular bisector is I. What is the ratio l/R such that the moment of inertia is minimum?
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A copper ball of mass 100 g is at a temperature T. It is dropped in a copper calorimeter of mass 100 g, filled with 170 g of water at room temperature. Subsequently, the temperature of the system is found to be 75 °CT is (given, room temperature =30 °C, specific heat of copper =0.1 cal g-1 °C-1)
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A slender uniform rod of mass M and length l is pivoted at one end, so that it can rotate in a vertical plane (see the figure). There is negligible friction at the pivot. The free end is held vertically above the pivot and then released. The angular acceleration of the rod when it makes an angle θ with the vertical is,

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An external pressure P is applied on a cube at 0 °C, so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and α is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating it. The temperature should be raised by
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JEE Main
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The temperature of an open room of volume 30 m3 increases from 17 °C to 27 °C due to the sunshine. The atmospheric pressure in the room remains 1×105 Pa. If ni and nf are the number of molecules in the room before and after heating, then, nf-ni will be