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Theory of relativity reveals that mass c...

Theory of relativity reveals that mass can be converted into energy. The energy E so obtained is proportional to certain powers of mass m and the speed c of light. Guess a relation among the quantities using the method of dimensions.

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The correct Answer is:
B, C
Let Energy `E alpha M^aC^b, where, M=Mass, C=speed of light rarr E= KM^aC^b`
Where K= PrroprtioN/Ality constant Dimension of left side `E=[ML^2T^-2]` Dimension of right side `M^aC^b, = M^a[LT^-1]^b, [ML^2T^-2]=[Ma][LT^-1]^b
rarra=1
b=2`
So, the relation is `E=KMC^2`
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