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 respect

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 respect

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
A. `300:1`
B. `600:1`
C. `900:1`
D. `1200:1`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
`E=sigma AT ^(4)`
`(E_(1))/(E_(2))=(A_(1))/(A_(2))((t_(1))/(T_(2)))^(4)=(E_(1))/(E_(2))=(r_(1)^(2))/(r_(2)^(2))((T_(1))/(T_(2)))^(4)`
10000=`((r_(1)))/(r_(2))_^(2)((2000)/(6000))^(4)`
`implies r_(1):r_(2)=900:1`

4 views Answered 2023-02-05 15:29