Optics Question 496

Question: Two stars situated at distances of 1 and 10 light years respectively from the earth appear to possess the same brightness. The ratio of their real brightness is

[NCERT 1981]

Options:

A) 1 : 10

B) 10 : 1

C) 1 : 100

D) 100 : 1

Show Answer

Answer:

Correct Answer: C

Solution:

$ I=\frac{L}{r^{2}} $

$ \Rightarrow \frac{L _{1}}{r _{1}^{2}}=\frac{L _{2}}{r _{2}^{2}} $ (I is same)

$ \Rightarrow \frac{L _{1}}{L _{2}}=\frac{r _{1}^{2}}{r _{2}^{2}}={{( \frac{1}{10} )}^{2}}=1:100 $ .



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