The spectral composition of solar radiation is much the same as that of a black whose maximum emission corresponds to the wavelength `0.48mu m`. Find the mass lost by the sun every second due to radiation. Evaluate the time interval during which the mass of the sun diminishes y `1` per cent.

The spectral composition of solar radiation is much the same as that o

1.	The spectral composition of solar radiation is much the same as that of a black whose maximum emission corresponds to the wavelength `0.48mu m`. Find the mass lost by the sun every second due to radiation. Evaluate the time interval during which the mass of the sun diminishes y `1` per cent.
Answer» The black body temperature of the sum may be taken as `T_(Theta) = (0.29)/(0.48 xx 10^(-4)) = 6042K` Thus the radiosity is `M_(e Theta) = 5.67 xx 10^(-8) (6042)^(4) = 0.7555 xx 10^(8)W//m^(2)` Energy lost by sun is `4pi(6.95)^(2) xx 10^(16) xx 0.7555 xx 10^(8) = 4.5855 xx 10^(26)watt` This corresponds to a mass loss of `(4.5855 xx 10^(26))/(9xx 10^(16))kg//sec = 5.1 xx 10^(9) kg//sec` The sun loses `1%` of its mass in `(1.97 xx 10^(30) xx 10^(-2))/(5.1 xx 10^(9)) sec = 1.22 xx 10^(11)` years.

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