The radiation emitted by a star A is 10,000 times that of the sun. If the surface temperatures of the sun and the star A are 6000 K and 2000 K respectively, the ratio of the radii of the star A and t…

Question

The radiation emitted by a star A is 10,000 times that of the sun. If the surface temperatures of the sun and the star A are 6000 K and 2000 K respectively, the ratio of the radii of the star A and the sun is

Accepted Answer

Correct answer: C. (c) Q ∝AT^4 ∝r^2T^4 ⇒ Q_ starQ_ sun= r^2_ star .T^4_ starr^2_ sun T_ sun^4 ⇒ 100001= r_ star^2r_ sun^2 ( 60002000 )^4 ⇒ r_ starr_ sun= 100 91= 9001

$The radiation emitted by a star A is 10,000 times that of the sun. If the surface temperatures of the sun and the star A are 6000 K and 2000 K respectively, the ratio of the radii of the star A and the sun is$

Solution

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