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

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

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

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

3 mole of hydrogen is mixed with 1 mole of neon.
The molar specific heat at constant pressure is

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

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

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 $S^2$)

The resistance across A and B in the figure below will be

Using the Gibbs energy changes, AG° = + 63.3 kJ for the following reaction,
Ag2CO3(s) = 2Ag(aq) + CO2-3(aq) the ksp of Ag2CO3 (s) in water at 25°C is (R = 8.314 JK mol!)