What is the de-Broglie wavelength of (a) a bullet of mass `0.040kg` traveling at the speed of `1.0kms^(-1)`. (b) a ball of mass `0.060 kg` moving at a speed of `1.0ms^(-1)` and (c) a dust particle of mass `1.0xx10^(-9) kg` drifting with a speed of `2.2 ms^(-1)`? `h=6.63xx10^(-34)Js`.

Explanation

(a)Mass of the bullet, m=0.040 kg
Speed of the bullet , v=1.0 km/s =1000 m/s
Planck's constant , `h=6.6xx10^(-34) Js`
De Broglie wavelength of the bullet is given by the relation : `lambda=h/(mv)`
`=(6.6xx10^(-34))/(0.040xx1000)=1.65xx10^(-35) m`
(b)Mass of the ball, m=0.060 kg
Speed of the ball , v=1.0 m/s
De Broglie wavelength of the bullet is given by the relation : `lambda=h/(mv)`
`=(6.6xx10^(-34))/(0.060xx1)=1.1xx10^(-32) m`
(a)Mass of the dust particle, `m=1xx10^(-9)kg`
Speed of the dust particle , v=2.2 m/s
De Broglie wavelength of the dust particle is given by the relation : `lambda=h/(mv)`
`=(6.6xx10^(-34))/(2.2xx1xx10^(-9))=3.0xx10^(-25) m`