Question

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 1

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`