Published by:
CGP EDU Academic Team
Published on: September 13, 2026
Let p and E denote the linear momentum and the energy of a photon. If the wavelength is decreased
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: The energy (E) of a photon is given by the relation:
$$ E = \frac{hc}{\lambda} $$
where:
Step 3: Now, the linear momentum (p) of a photon is given by the equation:
$$ p = \frac{E}{c} $$
Step 4: Since the energy E is increasing with a decrease in wavelength, it follows that the linear momentum p will also increase.
Conclusion: Therefore, both the momentum p and energy E of the photon increase when the wavelength decreases.
Therefore, the correct answer is A.
$$ E = \frac{hc}{\lambda} $$
where:
- h is Planck's constant,
- c is the speed of light,
- \( \lambda \) is the wavelength of the photon.
Step 3: Now, the linear momentum (p) of a photon is given by the equation:
$$ p = \frac{E}{c} $$
Step 4: Since the energy E is increasing with a decrease in wavelength, it follows that the linear momentum p will also increase.
Conclusion: Therefore, both the momentum p and energy E of the photon increase when the wavelength decreases.
Therefore, the correct answer is A.
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