Uncertainity in position of a minute particle of mass 25 g in space is `10^(-5)m`. What is the uncertainity in its velocity (in `ms^(-1)`) ? `(h = 6.6 xx 10^(-34) Js)`

Options

A. 23.5
B. 26.9
C. 66.37
D. 73.1

Answer

B

Explanation

`E = (hc)/(lambda) = 2.9 xx 10^(19)` J
Total energy of 10 quanta
`implies 10 xx 2.9 xx 10^(-19) J`
Energy stored for process
`=(112 xx 4.18 xx 10^3)/(6xx10^(23)) = 7.80 xx 10^(-19) J`
% efficiency `=(7.80xx 10^(-19))/(29 xx 10^(-19)) xx 100 implies 26.9 %`