Question
Planck constant has the same dimensions as:
- Force × time.
- Force × distance.
- Force × speed.
- Force × distance × time.
Explanation:
Planck's constant
$\text{h}=\frac{\text{E}}{\text{v}}=\frac{\text{Force}\times\text{distanace}}{\text{frequency}}$
$\Rightarrow\text{h}=\text{force}\times\text{distance}\times{\text{times}}.$
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$(i)$Average kinetic energy per molecule of $A$ is equal to that of $B$.
$(ii)$ Root mean square value of translational velocity of $B$ is four times that of $A$.
$(iii)$ Pressure exerted by $B$ is eight times of that exerted by $A$.
$(iv)$ Number of molecules of $B$ in the cylinder is eight time that of $A$.