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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: Statement I is true but Statement II is false

Solution

Statement I is true: equal momentum implies equal wavelength since lambda = h/p. Statement II is false: reducing wavelength increases momentum (p = h/lambda) and energy (E = hc/lambda). So I true, II false.

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