An electron is continuonsly accelerated in vacume tube by appliying potential difference if its de Brogle wavelength is decresed by `1%` the change in the kinetic energy of the electron is nearly

Options

A. Decreased by `1.0%`
B. Increased by `2.0%`
C. increased by `1.0%`
D. Decreased by `2.0%`

Explanation

`lambda = (1)/(sqrt(KE)) = sqrt((KE_(1))/(KE_(2))) = (lambda_(1))/(lambda_(2))` or `(lambda_(1))/(0.99 lambda_(1))`
` rArr KE_(1) = (0.99)^(2) KE_(1) = 1.02 KE_(1)`
% charge in `KE = (KE_(2) - KE_(1))/(KE_(1)) xx 100 = 2%`