Optics Question 804
Question: A mango tree is at the bank of river and one of the branch of tree extends over the river. A tortoise lives in river. A mango falls just above the tortoise. The acceleration of the mango falling from tree appearing to the tortoise is (Refractive index of water is 4/3 and the tortoise is stationary)
Options:
A) g
B) 3g/4
C) 4g/3
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ \frac{x}{1}=\frac{x _{rel}}{\mu }\Rightarrow x _{rel}=\mu x $
$ \Rightarrow \frac{d^{2}x _{rel}}{dr^{2}}={{\mu }^{2}}\frac{d^{2}x}{dr^{2}}\Rightarrow a _{rel}=\mu g $