c
Kinetic theory of gases state that anerage kinetic energy \((KE)\) of the gas molecules is directly proportional to the absolute temperature.

\(P V=\frac{1}{3} m n V_{r m s}^{2}=\frac{2}{3} \times \frac{1}{2} m n v_{\text {rms }}^{2}=\frac{2}{3} k T\)

Boyle's law state that at constant temperature average \(K E\) is constant, So, \(v_{\text {rms }}\) Memains unchanged. If volume increases pressure of gas decreases.

i.e., \(P V=\) constant .

Charle's law state that if we allow the volume to change to maintain constant pressure the volume will increase with increasing temperature

\(\text { i.e., } V=K T\)

\(\therefore\) Option \((c)\) is correct.