Home
Class 11
PHYSICS
If the sun's surface radiates heat at 6....

If the sun's surface radiates heat at `6.3 xx 10^(7) Wm^(-2)`. Calculate the temperature of the sun assuming it to be a black body `(sigma = 5.7 xx 10^(-8)Wm^(-2)K^(-4))`

A

`5.8xx10^3`K

B

`8.5 xx10^3` K

C

`3.5 xx 10^8` K

D

`5.3 xx 10^8` K

Text Solution

Verified by Experts

The correct Answer is:
A

Since, `E=sigma T^4`
`implies T^4 =(E)/(sigma)=(6.3 xx 10^7)/(5.7 xx 10^(-8)) implies T=5.8 xx 10^3` K
Promotional Banner

Similar Questions

Explore conceptually related problems

The solar energy received by the Earth persquare metre per minute is 8.315 xx 10^(4)Jm^(-2)min^(-1) . If the radius of the Sun is 7.5 xx 10^(5) km and the distance of the Earth from the Sun is 1.5 xx10^(8) km, calculate the surface temperature of Sun. Assume the Sun as a perfect black body. Given that Stefen constanta sigma = 5.7 xx 10^(-8)Wm^(-2)K^(-4).

The power of black body at temperature 200 K is 544 W .Its surface area is (sigma=5.67xx10^(-8)Wm^(-2)K^(-2))

If each square metre, of sun's surface radiates energy at the rate of 6.3xx10^(7) jm^(-2) s^(-1) and the Stefan's constant is 5.669xx10^(-8) Wm^(-2) K^(-4) calculate the temperature of the sun's surface, assuming Stefan's law applies to the sun's radiation.

The radiant power of a furnace of surface area of 0.6m^(2) is 34.2KW The temperature of the furance s [sigma = 5.7 xx 10^(-8) Wm^(-2) K^(-4) .

Consider the sun to be a perfect sphere of radius 6.8 xx 10^(8)m . Calculate the energy radiated by sun in one minute. Surface temperature of the sun = 6200 K . Stefan's constant = 5.67 xx 10^(-8) J m^(-2) s^(-1) K^(-4) .

Calculate the energy radiated per second from the filament of an incandescent lamp at 2000K, if the surface area is 5.0 xx 10^(-5) m^(-2) and its relative emittance is 0.85 & sigma = 5.7 xx 10^(-8) W m^(-2) K^(-4)

The surface area of a black body is 5xx10^(-4) m^(2) and its temperature is 727^@C . Energy radiated by it per minute is (Take sigma =5.67xx10^(-8) "J m"^(-2) s^(-1) K^(-4) )

The earth receives solar energy at the rate of 2 cal Cm^(-2) per minute. Assuming theradiation tobeblack body in character, estimate the surface temperature of the sun. Given that sigma =5.67 xx10^(-8) Wm^(-2)K^(-4) and angular diameter of the sun =32 minute of arc.

Calculate the energy radiation by the sun in 2 mins if it is considered to be perfect sphere of radius 6.8 xx 10^8 m and its surface temperature is approximately 6200 K. Take sigma = 5.67 xx 10^(-8) Jm^(-2) s^(-1) K^(-4)

The intensity of salr radiation just outside the earth's atmosphere is measured to be 1.4 kW//m^2 . If the radius of the sun 7xx10^8m , while the earth-sun distance is 150xx10^6km , then find i. the intensity of salr radiation at the surface of the sun. ii. the temperature at the surface of the sun assuming it to be a black body, iii. the most probable wavelength in solar radiation.