The approximate depth of an ocean is 2700 m. The compressiblity of water is 45.4 $$ \times $$ 10^$$-$$11 Pa^$$-$$1 and density of water is 10³ kg/m³. What fractional compression of water will be obtained at the bottom of the ocean?

Copper of fixed volume V is drawn into wire of length $$l$$. When this wire is subjected to a constant force F, the extension produced in the wire is $$\Delta $$$$l$$. Which of the following graphs is a straight line ?

A certain number of spherical drops of a liquid of radius r coalesce to form a single drop of radius R and volume V. If T is the surface tension of the liquid, then

Steam at 100^oC is passed into 20 g of water at 10^oC. When water acquires a temperature of 80^oC, the mass of water present will be
[Take specific heat of water = 1 cal g^{$$-$$1 o}C^$$-$$1 and latent heat of steam = 540 cal g^$$-$$1]