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The uncertainty in the position and velocity of a particle are `10^(-10)` m and `5.27 xx 10^(-24) ms^(-1)` respectively. Calculate the mass of the particle. |
Answer» According to uncertainty principle, `Deltax. mDelta upsilon =(h)/(4 pi ) or m=(h)/(4 pi Delta x Delta upsilon) , h=6.626 xx 10^(-34)kgm^(2)s^(-1)` `Deltax=10^(-10)m,Delta upsilon = 5.27 xx 10^(-24) ms ^(-1)` `:. " " m=((6.626 xx 10^(-34)kgm^(2)s^(-1)))/(4xx3.143 xx (10^(-10)m ) xx (5.27 xx 10^(-24)ms^(-1)))=0.1 kg` |
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