282690
A ray is incident at an angle of incidence on one surface of a prism of small angle \(A\) and emerges normally from the opposite surface. If the refractive index of the material of the prism is \(\mu\), the angle of incidence \(i\) is nearly equal to-
1 \(\mathrm{A} / \mu\)
2 \(\mathrm{A} / 2 \mu\)
3 \(\mu / \mathrm{A}\)
4 \(\mu \mathrm{A}\)
Explanation:
D: For small angle prism, Deviation \((\delta)=(\mu-1) \mathrm{A}\)
\(\because \quad\) Ray emergent normally \((\mathrm{e})=0^{\circ}\)
By relation, \(\mathrm{A}+\delta=\mathrm{i}+\mathrm{e}\)
\(\mathrm{i}=\mathrm{A}+\delta\)
or
\(\delta=\mathrm{i}-\mathrm{A}\)
From equation (i) \& (ii), we get-
\(\begin{aligned}
\mathrm{i}-\mathrm{A}=(\mu-1) \mathrm{A} \\
\mathrm{i}=\mu \mathrm{A}-\mathrm{A}+\mathrm{A} \\
\mathrm{i}=\mu \mathrm{A}
\end{aligned}\)
MHT-CET 2020
Ray Optics
282691
A prism \((\mu=1.5)\) has the refracting angle of \(30^{\circ}\). The deviation of a monochromatic ray incident normally on its one surface will be (given, \(\sin 48^{\circ} 36^{\prime}=\mathbf{0 . 7 5}\) )
282690
A ray is incident at an angle of incidence on one surface of a prism of small angle \(A\) and emerges normally from the opposite surface. If the refractive index of the material of the prism is \(\mu\), the angle of incidence \(i\) is nearly equal to-
1 \(\mathrm{A} / \mu\)
2 \(\mathrm{A} / 2 \mu\)
3 \(\mu / \mathrm{A}\)
4 \(\mu \mathrm{A}\)
Explanation:
D: For small angle prism, Deviation \((\delta)=(\mu-1) \mathrm{A}\)
\(\because \quad\) Ray emergent normally \((\mathrm{e})=0^{\circ}\)
By relation, \(\mathrm{A}+\delta=\mathrm{i}+\mathrm{e}\)
\(\mathrm{i}=\mathrm{A}+\delta\)
or
\(\delta=\mathrm{i}-\mathrm{A}\)
From equation (i) \& (ii), we get-
\(\begin{aligned}
\mathrm{i}-\mathrm{A}=(\mu-1) \mathrm{A} \\
\mathrm{i}=\mu \mathrm{A}-\mathrm{A}+\mathrm{A} \\
\mathrm{i}=\mu \mathrm{A}
\end{aligned}\)
MHT-CET 2020
Ray Optics
282691
A prism \((\mu=1.5)\) has the refracting angle of \(30^{\circ}\). The deviation of a monochromatic ray incident normally on its one surface will be (given, \(\sin 48^{\circ} 36^{\prime}=\mathbf{0 . 7 5}\) )
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Ray Optics
282690
A ray is incident at an angle of incidence on one surface of a prism of small angle \(A\) and emerges normally from the opposite surface. If the refractive index of the material of the prism is \(\mu\), the angle of incidence \(i\) is nearly equal to-
1 \(\mathrm{A} / \mu\)
2 \(\mathrm{A} / 2 \mu\)
3 \(\mu / \mathrm{A}\)
4 \(\mu \mathrm{A}\)
Explanation:
D: For small angle prism, Deviation \((\delta)=(\mu-1) \mathrm{A}\)
\(\because \quad\) Ray emergent normally \((\mathrm{e})=0^{\circ}\)
By relation, \(\mathrm{A}+\delta=\mathrm{i}+\mathrm{e}\)
\(\mathrm{i}=\mathrm{A}+\delta\)
or
\(\delta=\mathrm{i}-\mathrm{A}\)
From equation (i) \& (ii), we get-
\(\begin{aligned}
\mathrm{i}-\mathrm{A}=(\mu-1) \mathrm{A} \\
\mathrm{i}=\mu \mathrm{A}-\mathrm{A}+\mathrm{A} \\
\mathrm{i}=\mu \mathrm{A}
\end{aligned}\)
MHT-CET 2020
Ray Optics
282691
A prism \((\mu=1.5)\) has the refracting angle of \(30^{\circ}\). The deviation of a monochromatic ray incident normally on its one surface will be (given, \(\sin 48^{\circ} 36^{\prime}=\mathbf{0 . 7 5}\) )
282690
A ray is incident at an angle of incidence on one surface of a prism of small angle \(A\) and emerges normally from the opposite surface. If the refractive index of the material of the prism is \(\mu\), the angle of incidence \(i\) is nearly equal to-
1 \(\mathrm{A} / \mu\)
2 \(\mathrm{A} / 2 \mu\)
3 \(\mu / \mathrm{A}\)
4 \(\mu \mathrm{A}\)
Explanation:
D: For small angle prism, Deviation \((\delta)=(\mu-1) \mathrm{A}\)
\(\because \quad\) Ray emergent normally \((\mathrm{e})=0^{\circ}\)
By relation, \(\mathrm{A}+\delta=\mathrm{i}+\mathrm{e}\)
\(\mathrm{i}=\mathrm{A}+\delta\)
or
\(\delta=\mathrm{i}-\mathrm{A}\)
From equation (i) \& (ii), we get-
\(\begin{aligned}
\mathrm{i}-\mathrm{A}=(\mu-1) \mathrm{A} \\
\mathrm{i}=\mu \mathrm{A}-\mathrm{A}+\mathrm{A} \\
\mathrm{i}=\mu \mathrm{A}
\end{aligned}\)
MHT-CET 2020
Ray Optics
282691
A prism \((\mu=1.5)\) has the refracting angle of \(30^{\circ}\). The deviation of a monochromatic ray incident normally on its one surface will be (given, \(\sin 48^{\circ} 36^{\prime}=\mathbf{0 . 7 5}\) )
