MHT CET · Physics · Ray Optics
A ray of light is incident normally on a glass slab of thickness \(5 \mathrm{~cm}\) and refractive index 1.6. The time taken to travel by a ray from source to surface of slab is same as to travel through glass slab. The distance of source from the surface is
- A 12 cm
- B 24 cm
- C 5 cm
- D 8 cm
Answer & Solution
Correct Answer
(D) 8 cm
Step-by-step Solution
Detailed explanation
Speed of light in a maternal of index \(\mu\) is \(\left(\frac{C}{\mu}\right)\)
Given: \(\mathrm{t}_{\mathrm{SA}}=\mathrm{t}_{\mathrm{SB}}\)
\(\begin{aligned}
& \mathrm{t}_{\mathrm{SA}}=\frac{\mathrm{d}}{\mathrm{c}}=\frac{1}{\left(\frac{\mathrm{C}}{\mu}\right)} \\
& \Rightarrow \mathrm{d}=\mu \mathrm{l}=1.6 \times 5 \mathrm{~cm}=8 \mathrm{~cm}
\end{aligned}\)
Given: \(\mathrm{t}_{\mathrm{SA}}=\mathrm{t}_{\mathrm{SB}}\)
\(\begin{aligned}
& \mathrm{t}_{\mathrm{SA}}=\frac{\mathrm{d}}{\mathrm{c}}=\frac{1}{\left(\frac{\mathrm{C}}{\mu}\right)} \\
& \Rightarrow \mathrm{d}=\mu \mathrm{l}=1.6 \times 5 \mathrm{~cm}=8 \mathrm{~cm}
\end{aligned}\)
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