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In an experiment for determination of re...

In an experiment for determination of refractive index of glass of a prism by `i-delta`, plot it was found thata ray incident at angle `35^circ`, suffers a deviation of `40^circ` and that it emerges at angle `79^circ`. In that case which of the following is closest to the maximum possible value of the refractive index?

A

`1.6`

B

`1.7`

C

`1.8`

D

`1.5`

Text Solution

Verified by Experts

The correct Answer is:
D

`i = 35^(@) , e = 79^(@) and delta = 40^(@)`
`delta = i + e - A `
`rArr 40^(@) = 35^(@) + 79^(@) - A rArr A = 74^(@)`
Since, `i ne e ` hence ` delta_(m)` will be less than `40^(@)`
`(sin ((delta_(m)+A)/(2)))/(sin A//2) = (sin ((40 + 74)/(2)))/(sin (74//2)) = (sin 57)/(sin 37) =1.4`
Closest answer is 1.5 from options
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