Physics - Modern Physics Question with Solution | TestHub

PhysicsModern PhysicsDe Broglie & Matter WavesEasy2 minPYQ_2022

PhysicsEasystatement

An $α$ particle and a carbon $12$ atom has same kinetic energy $K$ . The ratio of their de-Broglie wavelengths $(λ_{α} : λ_{C 12})$ is

Answer:

Solution:

De-Broglie wavelength is stated as $λ = \frac{h}{p} = \frac{h}{\sqrt{2 m K}}$ , where, $K$ is kinetic energy and $m$ is mass.

Here, ${(K)}_{α} = {(K)}_{C ‐ 12}$ .

Now, the ratio $\frac{λ_{α}}{λ_{C 12}} = \frac{\sqrt{12 m}}{\sqrt{4 m}} = \sqrt{3} : 1$

Stream:JEESubject:PhysicsTopic:Modern PhysicsSubtopic:De Broglie & Matter Waves

⏱ 2mℹ️ Source: PYQ_2022

Loading discussions...