The power obtained in a reactor using `U^(235)` disintergration is `1000kW`. The mass decay of `U^(235)` per hour is

Options

A. 10 microgram
B. 20 microgram
C. 40 microgram
D. 1 microgram

Answer

C

Explanation

`E = mc^(2) m = (E)/(c^(2))`
So , mass decay per second
`(dm)/(dt) = (1)/(c^(2)) (dE)/(dt) = (1)/(c^2)` (Power in watt) = `(1)/((3 xx 10^(8))^(2)) xx 10^(6) xx 3600 = 4 xx 10^(-8) ` kg = 40 microgram