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Q.

 A particle A moving with a certain velocity has the de – Broglie wavelength of 1 . For   particle B with mass 25% of A and velocity 75% of A, calculate the de – Broglie wavelength. 

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a

3A°

b

5.33A°

c

6.88A°

d

0.48A°

answer is B.

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Detailed Solution

λA = hmAvA and λB = hmBvB

λAλB = mBvBmAvA

Here, mB = 25% of mA = 0.25 mA

vB = 75% of vA = 0.75vA

∴ 1λB  = 0.25mA × 0.75 vAmA × vA

or λB = 5.33 A°

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