JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
A quantity \(f\) is given by \(f=\sqrt{\frac{{hc}^{5}}{{G}}}\) where \(c\) is speed of light, \(G\) universal gravitational constant and \(h\) is the Planck's constant. Dimension of \(f\) is that of
- A Momentum
- B Area
- C Energy
- D Volume
Answer & Solution
Correct Answer
(C) Energy
Step-by-step Solution
Detailed explanation
\([\mathrm{h}]=\mathrm{M}^{1} \mathrm{L}^{2} \mathrm{T}^{-1}\) \([\mathrm{C}]=\mathrm{L}^{1} \mathrm{T}^{-1}\) \([\mathrm{G}]=\mathrm{M}^{-1} \mathrm{L}^{3} \mathrm{T}^{-2}\)…
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