Question

If '$R$' is Rydberg constant, '$h$' is Planck's constant, '$c$' is velocity of light, then '$Rhc$' has the same dimensional formula as that of

• A. Energy
• B. Force
• C. Angular momentum
• D. Power

Answer 1

The correct option is A Energy

$R=M^0{L}^{-1}{T}^0$
$h=\frac{Energy}{c/\lambda }=\frac{M^1{L}^2{T}^{-2}}{L{T}^{-1}{L}^{-1}}=M^1{L}^2{T}^{-1}$
$c=L{T}^{-1}$
Therefore, $Rhc=M{L}^2{T}^{-2}$
Energy $=M^1{L}^2{T}^{-2}$,
Force $=M^1{L}^1{T}^{-2}$
Angular momentum $=M^1{L}^2{T}^{-1}$
Power $=M^1{L}^2{T}^{-3}$
Hence, option A is correct.