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 $



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