At $27^{\circ} \mathrm{C}$ temperature, the mean kinetic energy of the atoms of an ideal gas is $\mathrm{E}_1$. If the temperature is increased to $327^{\circ} \mathrm{C}$, then the mean kinetic energy of the atoms will be
The variations of kinetic energy $K(x)$, potential energy $U(x)$ and total energy as a function of displacement of a particle in SHM is as shown in the figure. The value of $\left|x_0\right|$ is

The angle between the particle velocity and wave velocity in a transverse wave is [except when the particle passes through the mean position]
A metallic sphere of radius $R$ carrying a charge $q$ is kept at certain distance from another metallic sphere of radius $\mathrm{R} / 4$ carrying a charge Q . What is the electric flux at any point inside the metallic sphere of radius R due to the sphere of radius $\mathrm{R} / 4$ ?
