282292
Total internal reflection takes place when light moves from a medium \(P\) to a medium \(Q\) where \(P\) and \(Q\) have the following characteristics.
1 light has a lower velocity in \(P\) than in \(Q\)
2 light has higher frequency in \(\mathrm{P}\) than in \(\mathrm{Q}\)
3 light has highest wavelength in \(\mathrm{P}\) than in \(\mathrm{Q}\)
4 light has a lower frequency in \(P\) than in \(Q\)
Explanation:
A: Total internal reflection takes place when light travels from denser to rarer medium. And in denser medium speed of light is lower than rarer medium.
WB JEE-2007
Ray Optics
282281
A fish at a depth of \(12 \mathrm{~cm}\) in water is viewed by an observer on the bank of a lake. To what height the image of the fish is raised?
(Refractive index of lake water \(=\frac{4}{3}\) )
1 \(9 \mathrm{~cm}\)
2 \(12 \mathrm{~cm}\)
3 \(3.8 \mathrm{~cm}\)
4 \(3 \mathrm{~cm}\)
Explanation:
D: Given, real depth \((\mathrm{x})=12 \mathrm{~cm}\) We know that,
\(\begin{aligned}
\mu & =\frac{\text { Real depth }(x)}{\text { Apparent depth }(y)} \\
\frac{4}{3} & =\frac{12}{y} \\
y & =9 \mathrm{~cm}
\end{aligned}\)
Height of image raised \(=x-y\)
\(=12-9=3 \mathrm{~cm}\)
Ray Optics
282282
A ray of light passes from a medium \(A\) having refractive index 1.5 to the medium \(B\) having refractive index 1.6 The value of critical angle of medium. \(A\) is
1 \(\sin ^{-1}\left(\frac{15}{16}\right)\)
2 \(\sin ^{-1} \sqrt{\frac{16}{15}}\)
3 \(\sin ^{-1}\left(\frac{1}{2}\right)\)
4 \(\sin ^{-1}\left(\frac{16}{15}\right)\)
Explanation:
A: Given, \(\mu_{\mathrm{A}}=1.5, \mu_{\mathrm{B}}=1.6\)
According to the law of refraction -
\(\begin{array}{ll}
\frac{\sin \mathrm{i}_{\mathrm{c}}}{\sin 90^{\circ}}=\frac{1.5}{1.6} \\
\therefore \quad & \sin \mathrm{i}_{\mathrm{c}}=\frac{15}{16} \\
\mathrm{i}_{\mathrm{c}}=\sin ^{-1}\left(\frac{15}{16}\right)
\end{array}\)
GUJCET 2016
Ray Optics
282283
The critical angle of incidence of a ray of light going from a medium \(A\) to another medium \(B\) is \(30^{\circ}\). If the velocity of light in the medium \(A\) is half the velocity of light in vacuum, then velocity of light in \(B\) is
1 \(\frac{\mathrm{c}}{4}\)
2 \(\mathrm{c}\)
3 \(\frac{\sqrt{3} \mathrm{c}}{2}\)
4 \(\frac{\mathrm{c}}{2 \sqrt{3}}\)
Where \(c\) is the speed of light in vacuum.
282292
Total internal reflection takes place when light moves from a medium \(P\) to a medium \(Q\) where \(P\) and \(Q\) have the following characteristics.
1 light has a lower velocity in \(P\) than in \(Q\)
2 light has higher frequency in \(\mathrm{P}\) than in \(\mathrm{Q}\)
3 light has highest wavelength in \(\mathrm{P}\) than in \(\mathrm{Q}\)
4 light has a lower frequency in \(P\) than in \(Q\)
Explanation:
A: Total internal reflection takes place when light travels from denser to rarer medium. And in denser medium speed of light is lower than rarer medium.
WB JEE-2007
Ray Optics
282281
A fish at a depth of \(12 \mathrm{~cm}\) in water is viewed by an observer on the bank of a lake. To what height the image of the fish is raised?
(Refractive index of lake water \(=\frac{4}{3}\) )
1 \(9 \mathrm{~cm}\)
2 \(12 \mathrm{~cm}\)
3 \(3.8 \mathrm{~cm}\)
4 \(3 \mathrm{~cm}\)
Explanation:
D: Given, real depth \((\mathrm{x})=12 \mathrm{~cm}\) We know that,
\(\begin{aligned}
\mu & =\frac{\text { Real depth }(x)}{\text { Apparent depth }(y)} \\
\frac{4}{3} & =\frac{12}{y} \\
y & =9 \mathrm{~cm}
\end{aligned}\)
Height of image raised \(=x-y\)
\(=12-9=3 \mathrm{~cm}\)
Ray Optics
282282
A ray of light passes from a medium \(A\) having refractive index 1.5 to the medium \(B\) having refractive index 1.6 The value of critical angle of medium. \(A\) is
1 \(\sin ^{-1}\left(\frac{15}{16}\right)\)
2 \(\sin ^{-1} \sqrt{\frac{16}{15}}\)
3 \(\sin ^{-1}\left(\frac{1}{2}\right)\)
4 \(\sin ^{-1}\left(\frac{16}{15}\right)\)
Explanation:
A: Given, \(\mu_{\mathrm{A}}=1.5, \mu_{\mathrm{B}}=1.6\)
According to the law of refraction -
\(\begin{array}{ll}
\frac{\sin \mathrm{i}_{\mathrm{c}}}{\sin 90^{\circ}}=\frac{1.5}{1.6} \\
\therefore \quad & \sin \mathrm{i}_{\mathrm{c}}=\frac{15}{16} \\
\mathrm{i}_{\mathrm{c}}=\sin ^{-1}\left(\frac{15}{16}\right)
\end{array}\)
GUJCET 2016
Ray Optics
282283
The critical angle of incidence of a ray of light going from a medium \(A\) to another medium \(B\) is \(30^{\circ}\). If the velocity of light in the medium \(A\) is half the velocity of light in vacuum, then velocity of light in \(B\) is
1 \(\frac{\mathrm{c}}{4}\)
2 \(\mathrm{c}\)
3 \(\frac{\sqrt{3} \mathrm{c}}{2}\)
4 \(\frac{\mathrm{c}}{2 \sqrt{3}}\)
Where \(c\) is the speed of light in vacuum.
282292
Total internal reflection takes place when light moves from a medium \(P\) to a medium \(Q\) where \(P\) and \(Q\) have the following characteristics.
1 light has a lower velocity in \(P\) than in \(Q\)
2 light has higher frequency in \(\mathrm{P}\) than in \(\mathrm{Q}\)
3 light has highest wavelength in \(\mathrm{P}\) than in \(\mathrm{Q}\)
4 light has a lower frequency in \(P\) than in \(Q\)
Explanation:
A: Total internal reflection takes place when light travels from denser to rarer medium. And in denser medium speed of light is lower than rarer medium.
WB JEE-2007
Ray Optics
282281
A fish at a depth of \(12 \mathrm{~cm}\) in water is viewed by an observer on the bank of a lake. To what height the image of the fish is raised?
(Refractive index of lake water \(=\frac{4}{3}\) )
1 \(9 \mathrm{~cm}\)
2 \(12 \mathrm{~cm}\)
3 \(3.8 \mathrm{~cm}\)
4 \(3 \mathrm{~cm}\)
Explanation:
D: Given, real depth \((\mathrm{x})=12 \mathrm{~cm}\) We know that,
\(\begin{aligned}
\mu & =\frac{\text { Real depth }(x)}{\text { Apparent depth }(y)} \\
\frac{4}{3} & =\frac{12}{y} \\
y & =9 \mathrm{~cm}
\end{aligned}\)
Height of image raised \(=x-y\)
\(=12-9=3 \mathrm{~cm}\)
Ray Optics
282282
A ray of light passes from a medium \(A\) having refractive index 1.5 to the medium \(B\) having refractive index 1.6 The value of critical angle of medium. \(A\) is
1 \(\sin ^{-1}\left(\frac{15}{16}\right)\)
2 \(\sin ^{-1} \sqrt{\frac{16}{15}}\)
3 \(\sin ^{-1}\left(\frac{1}{2}\right)\)
4 \(\sin ^{-1}\left(\frac{16}{15}\right)\)
Explanation:
A: Given, \(\mu_{\mathrm{A}}=1.5, \mu_{\mathrm{B}}=1.6\)
According to the law of refraction -
\(\begin{array}{ll}
\frac{\sin \mathrm{i}_{\mathrm{c}}}{\sin 90^{\circ}}=\frac{1.5}{1.6} \\
\therefore \quad & \sin \mathrm{i}_{\mathrm{c}}=\frac{15}{16} \\
\mathrm{i}_{\mathrm{c}}=\sin ^{-1}\left(\frac{15}{16}\right)
\end{array}\)
GUJCET 2016
Ray Optics
282283
The critical angle of incidence of a ray of light going from a medium \(A\) to another medium \(B\) is \(30^{\circ}\). If the velocity of light in the medium \(A\) is half the velocity of light in vacuum, then velocity of light in \(B\) is
1 \(\frac{\mathrm{c}}{4}\)
2 \(\mathrm{c}\)
3 \(\frac{\sqrt{3} \mathrm{c}}{2}\)
4 \(\frac{\mathrm{c}}{2 \sqrt{3}}\)
Where \(c\) is the speed of light in vacuum.
282292
Total internal reflection takes place when light moves from a medium \(P\) to a medium \(Q\) where \(P\) and \(Q\) have the following characteristics.
1 light has a lower velocity in \(P\) than in \(Q\)
2 light has higher frequency in \(\mathrm{P}\) than in \(\mathrm{Q}\)
3 light has highest wavelength in \(\mathrm{P}\) than in \(\mathrm{Q}\)
4 light has a lower frequency in \(P\) than in \(Q\)
Explanation:
A: Total internal reflection takes place when light travels from denser to rarer medium. And in denser medium speed of light is lower than rarer medium.
WB JEE-2007
Ray Optics
282281
A fish at a depth of \(12 \mathrm{~cm}\) in water is viewed by an observer on the bank of a lake. To what height the image of the fish is raised?
(Refractive index of lake water \(=\frac{4}{3}\) )
1 \(9 \mathrm{~cm}\)
2 \(12 \mathrm{~cm}\)
3 \(3.8 \mathrm{~cm}\)
4 \(3 \mathrm{~cm}\)
Explanation:
D: Given, real depth \((\mathrm{x})=12 \mathrm{~cm}\) We know that,
\(\begin{aligned}
\mu & =\frac{\text { Real depth }(x)}{\text { Apparent depth }(y)} \\
\frac{4}{3} & =\frac{12}{y} \\
y & =9 \mathrm{~cm}
\end{aligned}\)
Height of image raised \(=x-y\)
\(=12-9=3 \mathrm{~cm}\)
Ray Optics
282282
A ray of light passes from a medium \(A\) having refractive index 1.5 to the medium \(B\) having refractive index 1.6 The value of critical angle of medium. \(A\) is
1 \(\sin ^{-1}\left(\frac{15}{16}\right)\)
2 \(\sin ^{-1} \sqrt{\frac{16}{15}}\)
3 \(\sin ^{-1}\left(\frac{1}{2}\right)\)
4 \(\sin ^{-1}\left(\frac{16}{15}\right)\)
Explanation:
A: Given, \(\mu_{\mathrm{A}}=1.5, \mu_{\mathrm{B}}=1.6\)
According to the law of refraction -
\(\begin{array}{ll}
\frac{\sin \mathrm{i}_{\mathrm{c}}}{\sin 90^{\circ}}=\frac{1.5}{1.6} \\
\therefore \quad & \sin \mathrm{i}_{\mathrm{c}}=\frac{15}{16} \\
\mathrm{i}_{\mathrm{c}}=\sin ^{-1}\left(\frac{15}{16}\right)
\end{array}\)
GUJCET 2016
Ray Optics
282283
The critical angle of incidence of a ray of light going from a medium \(A\) to another medium \(B\) is \(30^{\circ}\). If the velocity of light in the medium \(A\) is half the velocity of light in vacuum, then velocity of light in \(B\) is
1 \(\frac{\mathrm{c}}{4}\)
2 \(\mathrm{c}\)
3 \(\frac{\sqrt{3} \mathrm{c}}{2}\)
4 \(\frac{\mathrm{c}}{2 \sqrt{3}}\)
Where \(c\) is the speed of light in vacuum.
