A gamma ray has a wavelength of $5.0 \times 10 ^ { - 14 } \mathrm {~m}$ . The frequency of this wave is
A) $6.0 \times 10 ^ { 21 } \mathrm {~Hz}$
B) $6.0 \times 10 ^ { 20 } \mathrm {~Hz}$
C) $3.0 \times 10 ^ { 21 } \mathrm {~Hz}$
D) $15 \times 10 ^ { 21 } \mathrm {~Hz}$

Question

Quizplus · Accepted Answer

The frequency ($f$) of a wave can be calculated using the speed of light ($c = 3.0 \times 10^8 \, \text{m/s}$) and the wavelength ($\lambda$) with the formula $f = \frac{c}{\lambda}$. Substituting the given values, $f = \frac{3.0 \times 10^8 \, \text{m/s}}{5.0 \times 10^{-14} \, \text{m}} = 6.0 \times 10^{21} \, \text{Hz}$.

A Gamma Ray Has a Wavelength Of 5.0×10−14 m5.0 \times 10 ^ { - 14 } \mathrm {~m}5.0×10−14 m

A Gamma Ray Has a Wavelength Of $5.0 \times 10 ^ { - 14 } \mathrm {~m}$