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Question

# A light ray enters a prism through the side PR. PQR is a cross section of the prism. The emergent ray lies along the boundary OQ. ∠P = 90° and PQ = PR. The ray diagram has been given. iv. What is the speed of light in the prism? (Speed of light in air is 3×108 m/s) [1 mark]

A
3×108 m/s
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B
2.1×108 m/s
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C
1.4×108 m/s
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D
1.2×108 m/s
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Solution

## The correct option is B 2.1×108 m/sRefractive index=1sin (critical angle) =1sin45∘ =√2 The refractive index of the medium is 1.41. Speed of light in medium =Speed of light in airRefractive index of medium = 3×1081.41 m/s = 2.1×108 m/s

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