A diatomic gas is heated at constant pressure, what fraction of the heat energy is used to increase the internal energy?

An ideal gas is taken from state-1 to state- 2 through optional path $$A, B, C$$ and $$D$$ as shown in the $$p$$ - $$V$$ diagram. Let $$Q, W$$ and $$U$$ represent the heat supplied, work done and change in internal energy respectively, then

When the temperature of an ideal gas is increased from 27$$^\circ$$C to 127$$^\circ$$C. Calculate the percentage increase in its $$v_{rms}$$.

Two waves are represented by $$x_1=A \sin \left(\omega t+\frac{\pi}{6}\right) \text { and } x_2=A \cos \omega t \text {. }$$ Then, the phase difference between them is