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प्रश्न
A postage stamp appears raised by 7.00 mm, when placed under a glass block of refractive index 1.5. Find the thickness of the block.
संख्यात्मक
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उत्तर
Given: \[ \mu = 1.5 \]
Apparent rise:
\[ \text{Real depth} - \text{Apparent depth} = 7\,\text{mm} \]
We know,
\[ \mu=\frac{\text{Real depth}}{\text{Apparent depth}} \]
Let the thickness of the glass block be \(t\).
Then,
\[ \text{Apparent depth}=\frac{t}{1.5} \]
So,
\[ t-\frac{t}{1.5}=7 \]
\[ t-\frac{2t}{3}=7 \]
\[ \frac{t}{3}=7 \]
\[ t=21\,\text{mm} \]
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