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Question: de-Broglie wavelength of a body of mass 1 kg moving with velocity of 2000 m/s is –...

de-Broglie wavelength of a body of mass 1 kg moving with velocity of 2000 m/s is –

A

3.32 × 10–27 Å

B

1.5 × 107 Å

C

0.55 × 10–22 Å

D

None of these

Answer

3.32 × 10–27 Å

Explanation

Solution

m = 1 kg

v = 2000 m/s (v < < c)

l = hm0v\frac{h}{m_{0}v} = 6.62×10−341×2000\frac{6.62 \times 10^{- 34}}{1 \times 2000}

l = 6.622\frac{6.62}{2} × 10–37

= 3.32 × 10–37 m

= 3.32 × 10–27 Å