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Given below are two statements: Statement I: Two photons having equal linear momenta have equal wavelengths. Statement II: If the wavelength of photon is decreased, then the momentum and energy of a photon will also decrease. In the light of the above statements, choose the correct answer from the options given below.

Asked in JEE Main 24th Feb 1st Shift 2021 · Matter wave against photon

Answer: (3) Statement I is true but Statement II is false.

Step-by-step solution

Statement I: λ=/hp, so equal momenta do give equal wavelengths. True.

Statement II: p=/hλ and E=(hc)/λ, so a shorter wavelength means a larger momentum and a larger energy. False.

Statement I true, Statement II false.

Why the other options are wrong

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