Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Dual Nature of Radiation and Matter

Question:

Assertion (A) : If an electron has the same wavelength as a photon, they have the same energy.

Reason (R) : By de Broglie hypothesis, p = h/λ for both the electron and the photon.

Options:

Both (A) and (R) are true and (R) is the correct explanation of (A).

Both (A) and (R) are true but(R) is NOT the correct explanation of (A).

(A) is true but (R) is false.

(R) is true but (A) is false.

Correct Answer:

(R) is true but (A) is false.

Explanation:

$\text{Energy of photon }E = \frac{hc}{\lambda}$

$\text{Energy of electron } E' = \frac{p^2}{2m} = \frac{h^2}{2m\lambda^2}$