Target Exam

CUET

Subject

Physics

Chapter

Dual Nature of Radiation and Matter

Question:

If a particle is dropped from a height X. The de-Broglie wavelength of the particle as a function of height is proportional to:

Options:

$\sqrt{X}$

$X^{-1/2}$

$X^0$

$X$

Correct Answer:

$X^{-1/2}$

Explanation:

The correct answer is Option (2) → $X^{-1/2}$

According to De-Broglie,

$λ=\frac{h}{P}=\frac{h}{mv}$

$λ=\frac{h}{m(\sqrt{2×9.8x})}$    $[v^2=u^2+2as]$

$∴λ∝X^{-1/2}$