Question

If the frequency of a certain wave is $20\times {10}^4{\text{s}}^{-1}$, what would be the energy of this wave?

• A. $6.626\times {10}^{-34}\text{J}$
• B. $13.252\times {10}^{-32}\text{J}$
• C. $6.626\times {10}^{-29}\text{J}$
• D. $13.252\times {10}^{-29}\text{J}$

Answer 1

The correct option is D $13.252\times {10}^{-29}\text{J}$

Data given in the question,
Frequency of wave = $\nu$ = $20\times {10}^4{\text{s}}^{-1}$
The energy (E) for a certain frequency ($\nu$) can be represented by the equation:
E = h $\nu$
Where h is the Planck's constant,
h = $6.626\times {10}^{-34}\text{J s}$

As per formula,
E = h$\nu$
= $h\times 20\times {10}^4{s}^{-1}$
= $6.626\times {10}^{-34}\text{J s}\times 20\times {10}^4{\text{s}}^{-1}$
= $13.252\times {10}^{-29}\text{J}$