IIT JEE , AIEEE Forum - Physics , Thermal Physics

prateek.agarwal

something related 2 radiation...

joyfrancis

heat recieved by the earth per unit time can be written as

(Intensity of radiation of the earth/4pid²)(piR_e²)-------(1)

where d is the distance of the earth from the sun so 4pid²are of the spherical structure formed by the radiations and piRe²is the area of the earth facing the sun it would be a circle!

note that the intensity has the unit J/m²/sec when multiplied by m²we get the unit of Energy per unit time which according to the Stefan's Law is

sigmaAT⁴----(2)

equate (i) and (ii)

you will get Td^1/2 - const.

so, the answer should be (C)

thanks

DON007

as we know .......

SOLAR CONSTANT = ( R_S/ R_PS)² (SIGMA) T⁴

WHERE R _PS= DISTANCE BETWEEN PLANET AND THE SUN......

R_S= RADIUS OF THE SUN.............

NOW MOVING R_PS TOWARDS LEFT SIDE..........

WE GET...........

S * R_PS²= R_S² * SIGMA * T⁴

TAKING UNDERROOT.............

WE GET............

R_PSIS DIRECTLY PROPORTIONAL TO T²............

THEREFORE T IS DIRECTLY PROPORTIONAL TO sqrt R_ps

I MAY BE WRONG ...SORRY 4 THAT.............

THANKU

joyfrancis

so is it B or is it C

joyfrancis

hello!!!!...i need to know the answer!!!!!

rajat

is it C ??

joyfrancis

it should be C, check my solution

Ask & Discuss Questions with Community & Experts