A ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel to the base inside the prism. If m is the refractive index of the material of the prism, the maximum value of the base angle for which light is totally reflected from the hypotenuse is [EAMCET 2003]

\[{{\sin }^{-1}}\left( \frac{1}{\mu } \right)\]

\[{{\tan }^{-1}}\left( \frac{1}{\mu } \right)\]

\[{{\cos }^{-1}}\left( \frac{1}{\mu } \right)\]

A ray of light is incident on the hypotenuse of a right-angled prism a

1.	A ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel to the base inside the prism. If m is the refractive index of the material of the prism, the maximum value of the base angle for which light is totally reflected from the hypotenuse is [EAMCET 2003]
A.	\[{{\sin }^{-1}}\left( \frac{1}{\mu } \right)\]
B.	\[{{\tan }^{-1}}\left( \frac{1}{\mu } \right)\]
C.	Any of (a) and (b)
D.	\[{{\cos }^{-1}}\left( \frac{1}{\mu } \right)\]
Answer» E.

Discussion

No Comment Found

Related MCQs

Which of the following graphs shows appropriate variation of refractive index m with wavelength l
When light is incident on a medium at angle i and refracted into a second medium at an angle r, the graph of sin i vs sinr is as shown in the graph. From this, one can conclude that
The graph between sine of angle of refraction (sin r) in medium 2 and sine of angle of incidence (sin i) in medium 1 indicates that (tan 36° » \[\frac{3}{4}\])
For a small angled prism, angle of prism A, the angle of minimum deviation (d) varies with the refractive index of the prism as shown in the graph
Three right angled prisms of refractive indices \[{{n}_{1}},{{n}_{2}}\] and \[{{n}_{3}}\] are fixed together using an optical glue as shown in figure. If a ray passes through the prisms without suffering any deviation, then
A double convex lens, lens made of a material of refractive index \[{{\mu }_{1}}\], is placed inside two liquids or refractive indices \[{{\mu }_{2}}\] and \[{{\mu }_{3}}\], as shown. \[{{\mu }_{2}}>{{\mu }_{1}}>{{\mu }_{3}}\]. A wide, parallel beam of light is incident on the lens from the left. The lens will give rise to
The slab of a material of refractive index 2 shown in figure has curved surface APB of radius of curvature 10 cm and a plane surface CD. On the left of APB is air and on the right of CD is water with refractive indices as given in figure. An object O is placed at a distance of 15 cm from pole P as shown. The distance of the final image of O from P, as viewed from the left is
A beaker containing liquid is placed on a table, underneath a microscope which can be moved along a vertical scale. The microscope is focussed, through the liquid onto a mark on the table when the reading on the scale is a. It is next focussed on the upper surface of the liquid and the reading is b. More liquid is added and the observations are repeated, the corresponding readings are c and d. The refractive index of the liquid is
A plano-convex lens when silvered in the plane side behaves like a concave mirror of focal length 30cm. However, when silvered on the convex side it behaves like a concave mirror of focal length 10 cm. Then the refractive index of its material will be [BHU 1997; UPSEAT 1995]
A spherical surface of radius of curvature R separates air (refractive index 1.0) from glass (refractive index 1.5). The centre of curvature is in the glass. A point object P placed in air is found to have a real image Q in the glass. The line PQ cuts the surface at a point O, and PO = OQ. The distance PO is equal to [IIT JEE 1998; DPMT 2000]

A ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel to the base inside the prism. If m is the refractive index of the material of the prism, the maximum value of the base angle for which light is totally reflected from the hypotenuse is [EAMCET 2003]

Discussion

No Comment Found

Related MCQs

Reply to Comment