A monoatomic gas does 100 J of work, when it is expanded isobarically. How much of heat is given to the gas in the process?

If the root mean square (rms) speed of nitrogen molecules at room temperature is $100 \mathrm{~m} / \mathrm{s}$, then the rms speed of helium molecule at the same temperature is

If $\alpha_V$ and $T$ are the coefficient of volume expansion and temperature for an ideal gas respectively, then

If $\lambda$ denotes the wavelength at which the radiative emission from a black body at a temperature $T$ is maximum, then