A particle of mass 1 mg has the same wavelength as an electron moving with a velocity of 3 106 m s-1. The velocity of the particle is
- 3 10-31 m s-1
- 2.7 10-21 m s-1
- 2.7 10-18 m s-1
- 9 10-2 m s-1
Answer
(3) 2.7 10-18 m s-1
Solution
de Broglie wavelength: = hmv
the wavelengths are equal, mp vp = me ve
vp = me vemp
mp = 1 mg = 10-6 kg, me = 9.1 10-31 kg
vp = 9.1 10-31 3 10610-6
= 2.73 10-18 m s-1
vp 2.7 10-18 m s-1
Answer: (3)