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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 kg moving 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 |
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Answer» Solution :de-Broglie.s WAVELENGTH `lambda=(h)/(mv)` (a) SPEED of bullet, `v_(b)`=1.0 km/s `=1.0xx10^(3)m//s` and mass of bullet `m_(b)`=0.040 kg and `h=6.63xx10^(-34)` Js `THEREFORE lambda_("bullet")=(h)/(m_(b)v_(b))` `=(6.63xx10^(-34))/(0.04xx1xx10^(3))` `=165.75xx10^(-37)` `~~1.7xx10^(-35)`m (b)Speed of ball `v_(g)`=1.0 m/s mass of ball `m_(g)`=0.060 kg `lambda_("ball")=(h)/(m_(g)v_(g))` `=(6.63xx10^(-34))/(0.06xx1)` `=110.5xx10^(-34)` `~~11.1xx10^(-32)` m (c )Speed of dust particle `v_(p)`=2.2 m/s and mass `m_(p)=1.0xx10^(-9)` kg `therefore lambda_("particle")=(h)/(m_(p)v_(p))` `=(6.63xx10^(-34))/(1xx10^(-9)xx22)` `=3.0136xx10^(-25)` `~~3.0xx10^(-25)`m |
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