The uncertainty in position of an electron in equal to its de Broglie wavelength .The minimum percentage error in de measuremebnt of velocity under this circumstance will be approsimately

Options

A. 4
B. 8
C. 22
D. 18

Explanation

de Broiglie wavelength `(lambda) = (h)/(p)`
or `Delta x ("uncertainty in position") = (h)/(p)`
`:. Delta x Delta p = (h)/(4pi)`
`or `(h)/(p) xx Delta p = (h)/(4pi)`
or `(h)/(p)xx Delta p= (h)/(4pi)`
`(Delta p)/(p) = (1)/(4pi)`
`or (m xx Delta v)/(m xx v) = (1)/(4pi)`
or `(Delta v)/(v) = (1)/(4pi)`
`:. % ("uncertainty in velocity" ) = (Delta v)/(v) = (1)/(4pi) xx 100 = 8%`