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Concepts Of Physics MCQ Edition [Volume 2]

Exam: Concepts Of Physics MCQ Edition [Volume 2]
Subject: Physics
Chapter: Photoelectric Effect and Wave–Particle Duality

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Photoelectric Effect and Wave–Particle Duality

Suppose p and E represent the linear momentum and energy of a...

Suppose

p

and

E

represent the linear momentum and energy of a photon, respectively. If the wavelength is reduced,

Options

Aboth $p$ and $E$ decrease
B $p$ increases and $E$ decreases
Cboth $p$ and $E$ increase
D $p$ decreases and $E$ increases

Correct answer

C. both $p$ and $E$ increase

Step-by-step solution

The energy of a photon is given by

E = \dfrac{hc}{\lambda}

.

The linear momentum of a photon is given by

p = \dfrac{h}{\lambda}

.

Since both energy

E

and momentum

p

are inversely proportional to the wavelength

\lambda

, a decrease in wavelength will result in an increase in both

p

and

E

.

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