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
A Carnot engine $C_1$ operates between temperature $T_1$ and $T_2\left(T_1>T_2\right)$. A second Carnot engine $C_2$ uses all the heat rejected by the engine $C_1$ and operates between temperature $T_2$ and $T_3$ (where $T_2>T_3$ ). The efficiency of this combined ( $C_1$ and $C_2$ together) engine is
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