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A vertical pencil of rays comes from bot...

A vertical pencil of rays comes from bottom of a tank filled with a liquid ,When it is accerlerated with a n acceleration of `7.5m//s^(2)`,the ray is seen to be totally reflected by liquid surface, What is minimum possible refractive index of liquids?

A

slightly greater than `4//3`

B

slightly greater than `5//3`

C

slightly greater than `1.5`

D

slightly greater than `1.75`

Text Solution

Verified by Experts

The correct Answer is:
B
Due to psuedo force.Liquid surface will become be inclined

forT.I.R.

`i gt C`
`"sin"i gt "sin"C`
`sin i gt 1/mu`
`(a)/sqrt(a^(2)+g^(2)))gt(1)/(mu)`
`mu gt (sqrt(a^(2)+g^(2)))/(a)`
`mugt(sqrt((15//2)^(2)+(10^(2)))/(15//2)`
`mugt5//3`
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