If the absolute temperature of a sample in a fixed volume container is quadrupled then the root mean square speed in the initial state $u_i$ and that in the final stage $u_f$ would be related as:

Question

$(a)\;u_f=\large\frac{u_i}{4}\qquad(b)\;u_f=\large\frac{u_i}{2}\qquad(c)\;u_f=2u_i\qquad(d)\;u_f=4u_i$