Both the pressure and volume of an ideal gas of diatomic molecules are doubled. The ratio of the new internal energy to the old both measured relative to the internal energy at 0 K is

The ratio of the new internal energy to the old is 4

Explanation:

let the old pressure of the gas = P₁

let the old volume of the gas = V₁

then, the new pressure of the gas = 2P₁

the new volume of the gas = 2V₁

The internal energy of the gas is given as;

PV = nRT

PV = k

P₁V₁ = P₂V₂

The ratio of the new internal energy to the old is 4

5.64 m

The longest straight line i.e. chord that can be drawn in a circle is its along the diameter.

we know area of a circle is given by:

Hence, the swimmer can swim the longest distance of d = 5.64 m in the pool.