Two metallic spheres of radii 1 cm and 3 cm are given charges of $$-$$1 $$ \times $$ 10^$$-$$2 C and 5 $$ \times $$ 10^$$-$$2 C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is

A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy stored in the capacitor is

The equation of a simple harmonic wave is given by

y = 3 sin$${\pi \over 2}$$(50t $$-$$ x),

where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity is

An ideal gas goes from state A to state B via three different processes as indicated in the P-V diagram.



If Q₁, Q₂, Q₃ indicate the heat absorbed by the gas along the three processes and $$\Delta $$U₁, $$\Delta $$U₂, $$\Delta $$U₃ indicate the change in internal energy along the three processes respectively, then