E=mc^(2)

Solar energy is incident normally on the earths surface at the rate of about 1.4 kW m^(-2) . The distance between the earth and the sun is 1.5 10^(11) m. Energy (E) and mass (m) are related by Einstein equation E=mc^2 where c (3 xx 10^8 ms^1) is the speed of light in free space. The decrease in the mass of the sun is

The dimensional formula of mc^(2) is :

(1)/(2)mc^(2)(alpha)T

Dimensional formula for ((h^(2)v^(2))/(mc^(2)))/(1+(hv)/(mc^(2))) is (where h is planck's constant v is frequency of light m is mass and c is speed of light).

The value of the determinant : |(1,1,1),(""^mC_1,""^(m+1)C_1,""^(m+2)C_1),(""^mC_2,""^(m+1)C_2,""^(m+2)C_2)| is equal to :

Statement 1:^mC_(r)+mC_(r-1)^(n)C_(1)+mC_(r-2)^(n)C_(2)+...+^(n)C_(r)=0, if m+n

mC_(r)+mC_(r-1)nC_(1)+mC_(r-2)nC_(2)+.........+nC_(r)=(m+n)C_(r)