1.

What will be the power incident normally on unit area of spherical surface which is at distance R from the outermost surface of Sun of radius r at t^(@)C ? sigma= Stefan - Boltzmann's constant

Answer»

`(r^(2)SIGMA(t+273^(4)))/(4piR^(2))`
`(16pi^(2)r^(2)sigmat^(4))/(R^(2))`
`(r^(2)sigma(t+273)^(4))/(R^(2))`
`(4pir^(2)sigmat^(4))/(R^(2))`

Solution :From Stefan - BOLTZMANN law,
`P=AesigmaT^(4)`
`:.P=4pir^(2)sigmaT^(4)""[becauseA=4pir^(2),e=1]`
POWER INCIDENT per unit area,
`=(P)/(4piR^(2))=(4pir^(2)sigmaT^(4))/(4piR^(2))=(r^(2)sigma(t+273)^(4))/(R^(2))`


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