The de Broglie wavelength of a proton and α -particle are equal. The ratio of their velocities is

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The de Broglie wavelength of a proton and

α

-particle are equal. The ratio of their velocities is

PhysicsDual Nature of MatterJEE MainJEE Main 2021 (24 Feb Shift 2)

Options:

A $4 : 1$
B $4 : 3$
C $1 : 4$
D $4 : 2$

Solution:

2385 Upvotes Verified Answer

The correct answer is:

4 : 1

$λ = \frac{h}{m v}$

$λ_{p} = λ_{α}$

$m_{P} V_{P} = m_{α} v_{α}$

$m_{P} v_{P} = 4 m_{p} v_{α}$ $(m_{α} = 4 m_{P})$

$\frac{v_{p}}{v_{α}} = 4$

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