Question

. Q. 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 e of light Guess
a relation among the quantities using the method of
dimensions.​

Answer 1

Answer:

For this.

If u use conceptual understanding, then I can frame u the equation .

By Doppler Effect

Energy- E(1+v²/2c²)

Let the Velocity be V,

the k.energy in a particle in one dimension be KE¹

and in the second dimension KE².

Explanation:

By substantial Integration of Differed equation,

-E+KE²=KE¹+E(1+v²/2c²)

E(V²/2C²)=KE¹-KE²

E(V²/2C²)=½V²(M1-M2)

LET M=M1-M2

E(V²/2C²)=½MV²

V² CANCELS OUT

E/2C²=½M

½CANCELS OUT

E/C²=M

THEREFORE,

E=MC²