Refraction at plane surface
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364996 A monochromatic light wave with wavelength \(\lambda_{1}\) and frequency \(v_{1}\) in air enters another medium. If the angle of incidence and angle of refraction at the interface are \(45^{\circ}\) and \(30^{\circ}\) respectively, then the wavelength \(\lambda_{2}\) and frequency \(v_{2}\) of the refracted wave are

1 \(\lambda_{2}=\sqrt{2} \lambda_{1}, v_{2}=v_{1}\)
2 \(\lambda_{2}=\dfrac{1}{\sqrt{2}} \lambda_{1}, v_{2}=v_{1}\)
3 \(\lambda_{2}=\lambda_{1}, v_{2}=\sqrt{2} v_{1}\)
4 \(\lambda_{2}=\lambda_{1}, v_{2}=\dfrac{1}{\sqrt{2}} v_{1}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364997 \(A,{\rm{ }}B\) and \(C\) are the parallel sided transparent media of refractive index \({n_1},{n_2}\) and \({n_3}\) respectively. They are arranged as shown in the figure. A ray is incident at an angle \(\theta \) on the surface of separation of \(A\) and \(B\) which is as shown in the figure. After the refraction into the medium \(B\), the ray grazes the surface of separation of the media \(B\) and \(C\). Then sin \(\theta \) =
supporting img

1 \(\frac{{{n_3}}}{{{n_1}}}\)
2 \(\frac{{{n_1}}}{{{n_3}}}\)
3 \(\frac{{{n_2}}}{{{n_3}}}\)
4 \(\frac{{{n_1}}}{{{n_2}}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364998 A ray of light travelling through glass of refractive index \(\sqrt 2 \) is incident on glass - air boundary at an angle of incidence \(45^\circ \) . If refractive index of air is 1, then the angle of refraction will be
\(\left[ {\sin {{45}^o} = \frac{1}{{\sqrt 2 }},\sin {{90}^o} = 1} \right]\)

1 \({45^o}\)
2 \(30^\circ \)
3 \(60^\circ \)
4 \(90^\circ \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364999 In refraction, light waves are bent on passing from one medium to the second medium, because in the second medium

1 The coefficient of elasticity is different
2 The frequency is different
3 The amplitude is smaller
4 The speed is different
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

365000 Assertion :
An empty test tube dipped into water in a beaker appears silver, when viewed from a suitable direction.
Reason :
Due to refraction of light. the substance in water appears silvery.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364996 A monochromatic light wave with wavelength \(\lambda_{1}\) and frequency \(v_{1}\) in air enters another medium. If the angle of incidence and angle of refraction at the interface are \(45^{\circ}\) and \(30^{\circ}\) respectively, then the wavelength \(\lambda_{2}\) and frequency \(v_{2}\) of the refracted wave are

1 \(\lambda_{2}=\sqrt{2} \lambda_{1}, v_{2}=v_{1}\)
2 \(\lambda_{2}=\dfrac{1}{\sqrt{2}} \lambda_{1}, v_{2}=v_{1}\)
3 \(\lambda_{2}=\lambda_{1}, v_{2}=\sqrt{2} v_{1}\)
4 \(\lambda_{2}=\lambda_{1}, v_{2}=\dfrac{1}{\sqrt{2}} v_{1}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364997 \(A,{\rm{ }}B\) and \(C\) are the parallel sided transparent media of refractive index \({n_1},{n_2}\) and \({n_3}\) respectively. They are arranged as shown in the figure. A ray is incident at an angle \(\theta \) on the surface of separation of \(A\) and \(B\) which is as shown in the figure. After the refraction into the medium \(B\), the ray grazes the surface of separation of the media \(B\) and \(C\). Then sin \(\theta \) =
supporting img

1 \(\frac{{{n_3}}}{{{n_1}}}\)
2 \(\frac{{{n_1}}}{{{n_3}}}\)
3 \(\frac{{{n_2}}}{{{n_3}}}\)
4 \(\frac{{{n_1}}}{{{n_2}}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364998 A ray of light travelling through glass of refractive index \(\sqrt 2 \) is incident on glass - air boundary at an angle of incidence \(45^\circ \) . If refractive index of air is 1, then the angle of refraction will be
\(\left[ {\sin {{45}^o} = \frac{1}{{\sqrt 2 }},\sin {{90}^o} = 1} \right]\)

1 \({45^o}\)
2 \(30^\circ \)
3 \(60^\circ \)
4 \(90^\circ \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364999 In refraction, light waves are bent on passing from one medium to the second medium, because in the second medium

1 The coefficient of elasticity is different
2 The frequency is different
3 The amplitude is smaller
4 The speed is different
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

365000 Assertion :
An empty test tube dipped into water in a beaker appears silver, when viewed from a suitable direction.
Reason :
Due to refraction of light. the substance in water appears silvery.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
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PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364996 A monochromatic light wave with wavelength \(\lambda_{1}\) and frequency \(v_{1}\) in air enters another medium. If the angle of incidence and angle of refraction at the interface are \(45^{\circ}\) and \(30^{\circ}\) respectively, then the wavelength \(\lambda_{2}\) and frequency \(v_{2}\) of the refracted wave are

1 \(\lambda_{2}=\sqrt{2} \lambda_{1}, v_{2}=v_{1}\)
2 \(\lambda_{2}=\dfrac{1}{\sqrt{2}} \lambda_{1}, v_{2}=v_{1}\)
3 \(\lambda_{2}=\lambda_{1}, v_{2}=\sqrt{2} v_{1}\)
4 \(\lambda_{2}=\lambda_{1}, v_{2}=\dfrac{1}{\sqrt{2}} v_{1}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364997 \(A,{\rm{ }}B\) and \(C\) are the parallel sided transparent media of refractive index \({n_1},{n_2}\) and \({n_3}\) respectively. They are arranged as shown in the figure. A ray is incident at an angle \(\theta \) on the surface of separation of \(A\) and \(B\) which is as shown in the figure. After the refraction into the medium \(B\), the ray grazes the surface of separation of the media \(B\) and \(C\). Then sin \(\theta \) =
supporting img

1 \(\frac{{{n_3}}}{{{n_1}}}\)
2 \(\frac{{{n_1}}}{{{n_3}}}\)
3 \(\frac{{{n_2}}}{{{n_3}}}\)
4 \(\frac{{{n_1}}}{{{n_2}}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364998 A ray of light travelling through glass of refractive index \(\sqrt 2 \) is incident on glass - air boundary at an angle of incidence \(45^\circ \) . If refractive index of air is 1, then the angle of refraction will be
\(\left[ {\sin {{45}^o} = \frac{1}{{\sqrt 2 }},\sin {{90}^o} = 1} \right]\)

1 \({45^o}\)
2 \(30^\circ \)
3 \(60^\circ \)
4 \(90^\circ \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364999 In refraction, light waves are bent on passing from one medium to the second medium, because in the second medium

1 The coefficient of elasticity is different
2 The frequency is different
3 The amplitude is smaller
4 The speed is different
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

365000 Assertion :
An empty test tube dipped into water in a beaker appears silver, when viewed from a suitable direction.
Reason :
Due to refraction of light. the substance in water appears silvery.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364996 A monochromatic light wave with wavelength \(\lambda_{1}\) and frequency \(v_{1}\) in air enters another medium. If the angle of incidence and angle of refraction at the interface are \(45^{\circ}\) and \(30^{\circ}\) respectively, then the wavelength \(\lambda_{2}\) and frequency \(v_{2}\) of the refracted wave are

1 \(\lambda_{2}=\sqrt{2} \lambda_{1}, v_{2}=v_{1}\)
2 \(\lambda_{2}=\dfrac{1}{\sqrt{2}} \lambda_{1}, v_{2}=v_{1}\)
3 \(\lambda_{2}=\lambda_{1}, v_{2}=\sqrt{2} v_{1}\)
4 \(\lambda_{2}=\lambda_{1}, v_{2}=\dfrac{1}{\sqrt{2}} v_{1}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364997 \(A,{\rm{ }}B\) and \(C\) are the parallel sided transparent media of refractive index \({n_1},{n_2}\) and \({n_3}\) respectively. They are arranged as shown in the figure. A ray is incident at an angle \(\theta \) on the surface of separation of \(A\) and \(B\) which is as shown in the figure. After the refraction into the medium \(B\), the ray grazes the surface of separation of the media \(B\) and \(C\). Then sin \(\theta \) =
supporting img

1 \(\frac{{{n_3}}}{{{n_1}}}\)
2 \(\frac{{{n_1}}}{{{n_3}}}\)
3 \(\frac{{{n_2}}}{{{n_3}}}\)
4 \(\frac{{{n_1}}}{{{n_2}}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364998 A ray of light travelling through glass of refractive index \(\sqrt 2 \) is incident on glass - air boundary at an angle of incidence \(45^\circ \) . If refractive index of air is 1, then the angle of refraction will be
\(\left[ {\sin {{45}^o} = \frac{1}{{\sqrt 2 }},\sin {{90}^o} = 1} \right]\)

1 \({45^o}\)
2 \(30^\circ \)
3 \(60^\circ \)
4 \(90^\circ \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364999 In refraction, light waves are bent on passing from one medium to the second medium, because in the second medium

1 The coefficient of elasticity is different
2 The frequency is different
3 The amplitude is smaller
4 The speed is different
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

365000 Assertion :
An empty test tube dipped into water in a beaker appears silver, when viewed from a suitable direction.
Reason :
Due to refraction of light. the substance in water appears silvery.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364996 A monochromatic light wave with wavelength \(\lambda_{1}\) and frequency \(v_{1}\) in air enters another medium. If the angle of incidence and angle of refraction at the interface are \(45^{\circ}\) and \(30^{\circ}\) respectively, then the wavelength \(\lambda_{2}\) and frequency \(v_{2}\) of the refracted wave are

1 \(\lambda_{2}=\sqrt{2} \lambda_{1}, v_{2}=v_{1}\)
2 \(\lambda_{2}=\dfrac{1}{\sqrt{2}} \lambda_{1}, v_{2}=v_{1}\)
3 \(\lambda_{2}=\lambda_{1}, v_{2}=\sqrt{2} v_{1}\)
4 \(\lambda_{2}=\lambda_{1}, v_{2}=\dfrac{1}{\sqrt{2}} v_{1}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364997 \(A,{\rm{ }}B\) and \(C\) are the parallel sided transparent media of refractive index \({n_1},{n_2}\) and \({n_3}\) respectively. They are arranged as shown in the figure. A ray is incident at an angle \(\theta \) on the surface of separation of \(A\) and \(B\) which is as shown in the figure. After the refraction into the medium \(B\), the ray grazes the surface of separation of the media \(B\) and \(C\). Then sin \(\theta \) =
supporting img

1 \(\frac{{{n_3}}}{{{n_1}}}\)
2 \(\frac{{{n_1}}}{{{n_3}}}\)
3 \(\frac{{{n_2}}}{{{n_3}}}\)
4 \(\frac{{{n_1}}}{{{n_2}}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364998 A ray of light travelling through glass of refractive index \(\sqrt 2 \) is incident on glass - air boundary at an angle of incidence \(45^\circ \) . If refractive index of air is 1, then the angle of refraction will be
\(\left[ {\sin {{45}^o} = \frac{1}{{\sqrt 2 }},\sin {{90}^o} = 1} \right]\)

1 \({45^o}\)
2 \(30^\circ \)
3 \(60^\circ \)
4 \(90^\circ \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364999 In refraction, light waves are bent on passing from one medium to the second medium, because in the second medium

1 The coefficient of elasticity is different
2 The frequency is different
3 The amplitude is smaller
4 The speed is different
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

365000 Assertion :
An empty test tube dipped into water in a beaker appears silver, when viewed from a suitable direction.
Reason :
Due to refraction of light. the substance in water appears silvery.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.