MCQ
The gas law $\frac{{PV}}{T} = $ constant is true for
- AIsothermal changes only
- BAdiabatic changes only
- ✓Both isothermal and adiabatic changes
- DNeither isothermal nor adiabatic changes
$P V=n R T$
$\frac{P V}{T}=n R=$ constant
Which is valid for all processes, which includes isothermal or adiabatic.
Hence option $\mathrm{C}$ is correct.
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($A$) The amplitude of oscillation in the first case changes by a factor of $\sqrt{\frac{M}{m+M}}$, whereas in the second case it remains unchanged
($B$) The final time period of oscillation in both the cases is same
($C$) The total energy decreases in both the cases
($D$) The instantaneous speed at $x_0$ of the combined masses decreases in both the cases