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Consider the following two statements: Statement I: If two photons possess the same linear momentum, then they must also have the same wavelength. Statement II: When the wavelength of a photon is reduced, its momentum and energy both decrease. Based on the statements above, select the correct option.

1. Both Statement I and Statement II are true
2. Statement I is false but Statement II is true
3. Both Statement I and Statement II are false
4. Statement I is true but Statement II is false

Correct answer: Both Statement I and Statement II are false

Solution

Statement I is false because two photons can have the same momentum but different wavelengths if they are traveling in different directions. Statement II is also false because reducing the wavelength of a photon actually increases its momentum and energy, as both are directly proportional to the frequency.

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