1.

What is the de-Broglie wavelength of (a) a bullet of mass 0.040 kg travelling at the speed of 1.0 km/s, (b) a ball of mass 0.060 kgmoving at a speed of 1.0 m/s, and (c) a dust particle of mass 1.0xx10^(-9)kg drifting with a speed of 2.2 m/s ?

Answer»

Solution :(a) Mass of bullet m=0.040 kg and speed v=1.0km/s=1000m/s
`THEREFORE`de-Broglie WAVELENGTH `(h)/(mv)=(6.63xx10^(-34))/(0.040xx1000)=1.7xx10^(-35)m`
(b) Mass of BALL `m=0.060kg and speed v=1.0m//s`
`therefore lamda=(h)/(mv)=(6.63xx10^(-34))/(0.060xx1.0)=1.1xx10^(-32)m`
(c) Mass of DUST particle `m=1.0xx10^(-9)kg and speed v=2.2m//s`
`therefore lamda=(h)/(mv)=(6.63xx10^(-34))/(1.0xx10^(-9)xx2.2)=3.0xx10^(-25)m`.


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