The uncertainty in the position of an electron (mass `=9.1xx10^(-28) g)` moving with a velocity of `3.0xx10^(4) cm s^(-1)` accurate upto 0.011 % will be

Options

A. 1.92 cm
B. 7.68 cm
C. 0.175 cm
D. 3.84 cm

Answer

C

Explanation

`Delta x. Delta p=(h)/(4pi) or Deltax. mDelta v =(h)/(4pi)`,
`Delta v=(0.011)/(100)xx3xx10^(4)=3.3 cms^(-1)`
`Deltax=(6.6xx10^(-27))/(4xx3.14xx9.1xx10^(-28)xx3.3)=0.175 cm`