A thin prism of angle $5^{o}$ is placed at a distance of $10 c m$ from object. What is the distance of the image from object? (Given $μ$ of prism $=$ 1.5)

\frac{π}{8} c m

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\frac{π}{12} c m

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\frac{5 π}{36} c m

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\frac{π}{7} c m

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Solution

The correct option is C $\frac{5 π}{36} c m$
Deviation angle of light caused by a prism of prism angle $A = A (μ - 1) = (5 \times \frac{π}{180}) \times 0.5$ radians= $\frac{5 π}{360}$ radians

Hence the total deviation after travelling back a distance of 10 cm $= \frac{5 π}{360} \times 10$ cm= $\frac{5 π}{36}$ cm

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A thin prism of angle 5o is placed at a distance of 10 cm from object. What is the distance of the image from object? (Given μ of prism = 1.5)

The correct option is C 5π36cmDeviation angle of light caused by a prism of prism angle A=A(μ−1)=(5×π180)×0.5 radians=5π360radiansHence the total deviation after travelling back a distance of 10 cm =5π360×10cm=5π36cm

A thin prism of angle $5^{o}$ is placed at a distance of $10 c m$ from object. What is the distance of the image from object? (Given $μ$ of prism $=$ 1.5)