Coefficient of linear expansion of brass and steel rods are $$\alpha $$₁ and $$\alpha $$₂. Lengths of brass and steel rods are $$l$$₁ and $$l$$₂ respectively. If ($$l$$₁ $$-$$ $$l$$₂) is maintained same at all temperatures, which one of the following relations holds good?

Two non-mixing liquids of densities $$\rho $$ and n$$\rho $$ (n > 1) are put in a container. The height of each liquid is h. A solid cylinder of length L and density d is put in this container. The cylinder floats with its axis vertical and length $$\rho $$L ($$\rho $$ < 1) in the denser liquid. The density d is equal to

A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250 nm is U₁, at wavelength 500 nm is U₂ and that at 1000 nm is U₃. Wien's constant, b = 2.88 $$ \times $$ 10⁶ nm K. Which of the following is correct ?

Water rises to a height h in capillary tube. If the length of capillary tube above the surface of water is made less than h, then