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]

Certain quantity of water cools from 70^oC to 60^oC in the first 5 minutes and to 54^oC in the next 5 minutes. The temperature of the surroundings is

Two metal rods 1 and 2 of same lengths have same temperature difference between their ends. Their thermal conductivities are K₁ and K₂ and cross sectional areas A₁ and A₂, respectively. If the rate of heat conduction in 1 is four times that in 2, then