Question

A particle a moving with a certain velocity has a de broglie wavelength of 1 . if particle b has mass 25% of a and velocity 75% of a, the wavelength of b will be approximately:

Answer 1

The wavelength of b will be approximately λB = 5.33 A°

Explanation:

Given data:

Mass of particle b = 25 % of a

Velocity of b = 75% of a

λA = 1°A

mA : mB = 4 : 1

We know that

λ = h / mv

vA : vB = 4 : 3

λB : λA = 16 : 3

λB = 5.33 A°

Thus the wavelength of b will be approximately λB = 5.33 A°

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