Refraction at plane surface
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364936 A rectangular slab \(ABCD\) of refractive index \({\mu _1}\) is immersed in a liquid of refractive index \({\mu _2}({\mu _2} < {\mu _1}).\) A ray of light is incident on the surface \(AB\) of the slab as shown in the figure.The maximum value of incidence such that the ray comes out only from the surface \(CD\) is given by
supporting img

1 \({\sin ^{ - 1}}\left[ {\frac{{\sqrt {\mu _1^2 - \mu _2^2} }}{{{\mu _1}}}} \right]\)
2 \({\sin ^{ - 1}}\left[ {\frac{{\sqrt {\mu _1^2 - \mu _2^2} }}{{{\mu _2}}}} \right]\)
3 \({\sin ^{ - 1}}\left( {\frac{{{\mu _1}}}{{{\mu _2}}}} \right)\)
4 \({\sin ^{ - 1}}\left( {\frac{{{\mu _2}}}{{{\mu _1}}}} \right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364937 In vacuum, to travel distance \(d\), light takes time \(t\) and in medium to travel \(5\,d\), it takes time \(T\). The critical angle of the medium is:

1 \(\sin ^{-1}\left(\dfrac{5 T}{t}\right)\)
2 \(\sin ^{-1}\left(\dfrac{5 t}{T}\right)\)
3 \(\sin ^{-1}\left(\dfrac{6 t}{T}\right)\)
4 \(\sin ^{-1}\left(\dfrac{5 t}{3 T}\right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364938 In total internal reflection when the angle of incidence is equal to the critical angle for the pair of media in contact, what will be angle of refraction?

1 180°
2
3 Equal to angle of incidence
4 90°
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364939 A fish looking up through the water sees the outside world contained in a circular horizon. If the redfractive index of water is \(4 / 3\) and the fish is \(12\;cm\). below the surface, the radius of this circle in \(cm\) is

1 \(4 \sqrt{5}\)
2 \(36 \sqrt{5}\)
3 \(36 \sqrt{7}\)
4 \(36 / \sqrt{7}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364940 Which of the following is not due to total internal reflection?

1 Mirage on hot summer days
2 Difference between apparent and real depth of a pond
3 Working of optical fibre
4 Brilliance of diamond
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364936 A rectangular slab \(ABCD\) of refractive index \({\mu _1}\) is immersed in a liquid of refractive index \({\mu _2}({\mu _2} < {\mu _1}).\) A ray of light is incident on the surface \(AB\) of the slab as shown in the figure.The maximum value of incidence such that the ray comes out only from the surface \(CD\) is given by
supporting img

1 \({\sin ^{ - 1}}\left[ {\frac{{\sqrt {\mu _1^2 - \mu _2^2} }}{{{\mu _1}}}} \right]\)
2 \({\sin ^{ - 1}}\left[ {\frac{{\sqrt {\mu _1^2 - \mu _2^2} }}{{{\mu _2}}}} \right]\)
3 \({\sin ^{ - 1}}\left( {\frac{{{\mu _1}}}{{{\mu _2}}}} \right)\)
4 \({\sin ^{ - 1}}\left( {\frac{{{\mu _2}}}{{{\mu _1}}}} \right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364937 In vacuum, to travel distance \(d\), light takes time \(t\) and in medium to travel \(5\,d\), it takes time \(T\). The critical angle of the medium is:

1 \(\sin ^{-1}\left(\dfrac{5 T}{t}\right)\)
2 \(\sin ^{-1}\left(\dfrac{5 t}{T}\right)\)
3 \(\sin ^{-1}\left(\dfrac{6 t}{T}\right)\)
4 \(\sin ^{-1}\left(\dfrac{5 t}{3 T}\right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364938 In total internal reflection when the angle of incidence is equal to the critical angle for the pair of media in contact, what will be angle of refraction?

1 180°
2
3 Equal to angle of incidence
4 90°
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364939 A fish looking up through the water sees the outside world contained in a circular horizon. If the redfractive index of water is \(4 / 3\) and the fish is \(12\;cm\). below the surface, the radius of this circle in \(cm\) is

1 \(4 \sqrt{5}\)
2 \(36 \sqrt{5}\)
3 \(36 \sqrt{7}\)
4 \(36 / \sqrt{7}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364940 Which of the following is not due to total internal reflection?

1 Mirage on hot summer days
2 Difference between apparent and real depth of a pond
3 Working of optical fibre
4 Brilliance of diamond
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364936 A rectangular slab \(ABCD\) of refractive index \({\mu _1}\) is immersed in a liquid of refractive index \({\mu _2}({\mu _2} < {\mu _1}).\) A ray of light is incident on the surface \(AB\) of the slab as shown in the figure.The maximum value of incidence such that the ray comes out only from the surface \(CD\) is given by
supporting img

1 \({\sin ^{ - 1}}\left[ {\frac{{\sqrt {\mu _1^2 - \mu _2^2} }}{{{\mu _1}}}} \right]\)
2 \({\sin ^{ - 1}}\left[ {\frac{{\sqrt {\mu _1^2 - \mu _2^2} }}{{{\mu _2}}}} \right]\)
3 \({\sin ^{ - 1}}\left( {\frac{{{\mu _1}}}{{{\mu _2}}}} \right)\)
4 \({\sin ^{ - 1}}\left( {\frac{{{\mu _2}}}{{{\mu _1}}}} \right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364937 In vacuum, to travel distance \(d\), light takes time \(t\) and in medium to travel \(5\,d\), it takes time \(T\). The critical angle of the medium is:

1 \(\sin ^{-1}\left(\dfrac{5 T}{t}\right)\)
2 \(\sin ^{-1}\left(\dfrac{5 t}{T}\right)\)
3 \(\sin ^{-1}\left(\dfrac{6 t}{T}\right)\)
4 \(\sin ^{-1}\left(\dfrac{5 t}{3 T}\right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364938 In total internal reflection when the angle of incidence is equal to the critical angle for the pair of media in contact, what will be angle of refraction?

1 180°
2
3 Equal to angle of incidence
4 90°
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364939 A fish looking up through the water sees the outside world contained in a circular horizon. If the redfractive index of water is \(4 / 3\) and the fish is \(12\;cm\). below the surface, the radius of this circle in \(cm\) is

1 \(4 \sqrt{5}\)
2 \(36 \sqrt{5}\)
3 \(36 \sqrt{7}\)
4 \(36 / \sqrt{7}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364940 Which of the following is not due to total internal reflection?

1 Mirage on hot summer days
2 Difference between apparent and real depth of a pond
3 Working of optical fibre
4 Brilliance of diamond
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364936 A rectangular slab \(ABCD\) of refractive index \({\mu _1}\) is immersed in a liquid of refractive index \({\mu _2}({\mu _2} < {\mu _1}).\) A ray of light is incident on the surface \(AB\) of the slab as shown in the figure.The maximum value of incidence such that the ray comes out only from the surface \(CD\) is given by
supporting img

1 \({\sin ^{ - 1}}\left[ {\frac{{\sqrt {\mu _1^2 - \mu _2^2} }}{{{\mu _1}}}} \right]\)
2 \({\sin ^{ - 1}}\left[ {\frac{{\sqrt {\mu _1^2 - \mu _2^2} }}{{{\mu _2}}}} \right]\)
3 \({\sin ^{ - 1}}\left( {\frac{{{\mu _1}}}{{{\mu _2}}}} \right)\)
4 \({\sin ^{ - 1}}\left( {\frac{{{\mu _2}}}{{{\mu _1}}}} \right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364937 In vacuum, to travel distance \(d\), light takes time \(t\) and in medium to travel \(5\,d\), it takes time \(T\). The critical angle of the medium is:

1 \(\sin ^{-1}\left(\dfrac{5 T}{t}\right)\)
2 \(\sin ^{-1}\left(\dfrac{5 t}{T}\right)\)
3 \(\sin ^{-1}\left(\dfrac{6 t}{T}\right)\)
4 \(\sin ^{-1}\left(\dfrac{5 t}{3 T}\right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364938 In total internal reflection when the angle of incidence is equal to the critical angle for the pair of media in contact, what will be angle of refraction?

1 180°
2
3 Equal to angle of incidence
4 90°
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364939 A fish looking up through the water sees the outside world contained in a circular horizon. If the redfractive index of water is \(4 / 3\) and the fish is \(12\;cm\). below the surface, the radius of this circle in \(cm\) is

1 \(4 \sqrt{5}\)
2 \(36 \sqrt{5}\)
3 \(36 \sqrt{7}\)
4 \(36 / \sqrt{7}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364940 Which of the following is not due to total internal reflection?

1 Mirage on hot summer days
2 Difference between apparent and real depth of a pond
3 Working of optical fibre
4 Brilliance of diamond
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364936 A rectangular slab \(ABCD\) of refractive index \({\mu _1}\) is immersed in a liquid of refractive index \({\mu _2}({\mu _2} < {\mu _1}).\) A ray of light is incident on the surface \(AB\) of the slab as shown in the figure.The maximum value of incidence such that the ray comes out only from the surface \(CD\) is given by
supporting img

1 \({\sin ^{ - 1}}\left[ {\frac{{\sqrt {\mu _1^2 - \mu _2^2} }}{{{\mu _1}}}} \right]\)
2 \({\sin ^{ - 1}}\left[ {\frac{{\sqrt {\mu _1^2 - \mu _2^2} }}{{{\mu _2}}}} \right]\)
3 \({\sin ^{ - 1}}\left( {\frac{{{\mu _1}}}{{{\mu _2}}}} \right)\)
4 \({\sin ^{ - 1}}\left( {\frac{{{\mu _2}}}{{{\mu _1}}}} \right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364937 In vacuum, to travel distance \(d\), light takes time \(t\) and in medium to travel \(5\,d\), it takes time \(T\). The critical angle of the medium is:

1 \(\sin ^{-1}\left(\dfrac{5 T}{t}\right)\)
2 \(\sin ^{-1}\left(\dfrac{5 t}{T}\right)\)
3 \(\sin ^{-1}\left(\dfrac{6 t}{T}\right)\)
4 \(\sin ^{-1}\left(\dfrac{5 t}{3 T}\right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364938 In total internal reflection when the angle of incidence is equal to the critical angle for the pair of media in contact, what will be angle of refraction?

1 180°
2
3 Equal to angle of incidence
4 90°
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364939 A fish looking up through the water sees the outside world contained in a circular horizon. If the redfractive index of water is \(4 / 3\) and the fish is \(12\;cm\). below the surface, the radius of this circle in \(cm\) is

1 \(4 \sqrt{5}\)
2 \(36 \sqrt{5}\)
3 \(36 \sqrt{7}\)
4 \(36 / \sqrt{7}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364940 Which of the following is not due to total internal reflection?

1 Mirage on hot summer days
2 Difference between apparent and real depth of a pond
3 Working of optical fibre
4 Brilliance of diamond