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 migcrogram
D. 1 microgram

Answer

C

Explanation

According to Einstein.s mass energy relation
`E = mc ^(2) or m = (E)/(c ^(2))`
Mass decay per second
`= ( Delta m )/(Delta t ) = (1)/( c ^(2)) (Delta E)/(Delta t)= (P )/(c ^(2))`
`= (Delta m )/(Delta t) xx 60 xx 60 = ((10 ^(6))/( 9xx 10 ^(16))kg //s )(3600s)`
`= 4 xx 10 ^(-8) kg = 40 xx 10 ^(-6) g = 40 mug`