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A rectangular block of glass ABCD has a ...

A rectangular block of glass `ABCD` has a refractive index `1.6`. A pin is placed midway on the face`AB`, Fig. When observed from the face `AD`, the pin shall.
.

A

appear to be near A.

B

appear to be near D.

C

appear to be at the centre of AD.

D

not be seen at all.

Text Solution

Verified by Experts

The correct Answer is:
A, D

Let us consider that the point O is the mid-point of the side AB and a pin is kept at O. This pin is viewed from the side AD and image formation is shown below:

If the angle of incidence at the face AD is less than critical angle, the pin will seem to appear at point O.. If the angle of incidence at the face AD is greater than the critical angle, the pin will not be viewed at all. This critical angle is given by
`sini_(c)=(1)/(mu)=(1)/(1.6)=0.625`
`rArr" "i_(c)=sin^(-1)(0.628)=38.7^(@)`
`therefore" "` For `i gt 38.7^(@)`, rays starting from O will undergo TIR and pin will not be viewed at all.
The possible correct choices are options (a) and (d).
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