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The amount of energy released when one ...

The amount of energy released when one microgram of mater is annihilated is

A

`0.25xx10^(5)kWh`

B

`9xx10^(6)kWh`

C

`3xx10^(10)kWh`

D

`0.5xx10^(5)kWh`

Text Solution

Verified by Experts

According to Einstein's mass energy equivalence
`E=mc^(2)=10^(-6)xx10^(-3)xx(3xx10^(8))^(2)J=9xx10^(7)J`
Since 1 kilowatt hour (1 kWh)`=3.6xx10^(6)J`
`:. E=9xx10^(7)Jxx(1kWh)/(3.6 xx10^(6)J)`
`=900/36kWh=25kWh`
* Option not given.
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