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The moment of inertia of a sphere of mass M and radius R about an axis passing through its
centre is $\\dfrac{2}{5} MR^2$. The radius of gyration of the sphere about a parallel axis to the above and tangent to the sphere is:
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A gas mixture consists of 2 moles of O2 and 4 moles of Ar at temperature T. Neglecting all
vibrational modes, the total internal energy of the system is
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A body of mass 6 kg is acted upon by a force which causes a displacement in it given
by x=$\\dfrac{t^2}{2}$ metre, where t is the time in second. The work done by the force in 2 seconds is
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Two rods of same length and area of cross-section and Young s moduli Y, and Y2 are joined
end to end. The equivalent Young s modulus for the composite rod is
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If a person can throw a stone to maximum height of h metre vertically, then the
maximum distance through which it can be thrown horizontally by the same person is
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A thin copper wire of length l increases in length by 1%, when heated from 0°C to 100°C. If
a thin copper plate of area (2 l * l) is heated from 0°C to 100°C, the percentage increase in its are would be
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3 mole of hydrogen is mixed with 1 mole of neon.
The molar specific heat at constant pressure is
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3. Two conducting rings P and Q of radii r and 2r moving uniformly in opposite directions with
centre of mass velocities 2v and v respectively on a conducting surface S. There is a uniform field of magnitude B perpendicular to the plane of the rings.
The potential difference between the highest points of the two rings is
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In an electromagnetic wave, the magnetic field is given by
$B_y=2*10^{-7}sin(0.5*10^3x+1.5*10^{11}t)T.$
The intensity of e.m. wave is about
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A cubical vessel of height 1 m is full of water. What is the amount of work done in
pumping water out of the vessel ? (Take g = 10 m $S^2$)
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