Question

Assertion :The de Broglie equation has significance for any microscopic or sub-microscopic particles. Reason: The de Broglie wavelength is inversely proportional to the mass of the object if velocity is constant.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

de Broglie wavelength $\lambda =\frac{h}{p}$ where $p=mv$

$⟹$ $\lambda =\frac{h}{mv}$

Thus implies $\lambda \propto \frac{1}{m}$ $(\because$ $v$ and $h$ are constant $)$

Hence Reason statement is correct.

Mass of microscopic and sub-microscopic particle is very small. Thus according to de broglie equation, these particles tend to behave like a wave with certain finite wavelength which suggests the wave-particle dual nature of such particles like electrons.Thus de Broglie equation has significance for microscopic and sub -microscopic particles.

Thus both Assertion and the Reason are correct and the Reason is the correct explanation of the Assertion.