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If the uncertainty in the measurement of the position of a p...

If the uncertainty in the measurement of the position of a particle is 5.0 x 10-10m, the uncertainty in the momentum of the particle is

A.

1.32 x 10-44Ns

B.

3.30 x 10-44Ns

C.

1.32 x 10-24Ns

D.

3.30 x 10-24Ns

Correct answer is C

From the uncertainty principle the product of the position and momentum of a sub-atomic particle is equal or greater than planck's constant.

i.e Δx.Δph.Thus5×1010×Δp=6.6×1034Δp=6.6×10345×1010=1.32×1024NsTherefore Uncertainty in the momentum =1.32×1024Ns