MCQ
If $\vec{P}+\vec{Q}=\overrightarrow{0}$, then which of the following is necessarily true?
- A$\vec{P}=\overrightarrow{0}$
- ✓$\vec{P}=-\vec{Q}$
- C$\vec{Q}= 0$
- D$\vec{P}=\vec{Q}$
Given,
$\overrightarrow{ P }+\overrightarrow{ Q }=0$
$\Rightarrow \overrightarrow{ P }=-\overrightarrow{ Q }$
as given quantities are vectors, the sum of vectors opposite to each other has different signs.
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$(A)$ $\mathrm{C}_{\mathrm{p}}-\mathrm{C}_{\mathrm{v}}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
$(B)$ $\mathrm{C}_{\mathrm{p}}+\mathrm{C}_{\mathrm{v}}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
$(C)$ $\mathrm{C}_{\mathrm{p}} / \mathrm{C}_{\mathrm{v}}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
$(D)$ $\mathrm{C}_{\mathrm{p}} \cdot \mathrm{C}_v$ is larger for a diatomic ideal gas than for a monoatomic ideal gas