Advertisements
Advertisements
प्रश्न
Find the angle of deviation suffered by the light ray shown in figure. The refractive index μ = 1.5 for the prism material.
उत्तर
Given,
The refractive index of the prism material (μ) = 1.5
Angle of prism form the figure = 4˚
We know that,
\[\mu = \frac{\sin\left( \frac{A + \delta_m}{2} \right)}{\sin \frac{A}{2}}\]
\[ \mu = \frac{\left( \frac{A + \delta_m}{2} \right)}{\frac{A}{2}} \left( \text{ because for small angle } \sin \theta \approx \theta \right)\]
\[ = \frac{A + \delta_m}{2^\circ }\]
\[1 . 5 = \frac{4^\circ + \delta_m}{2^\circ}\]
\[ \delta_m = 2^\circ \]
Hence, the angle of deviation is 2˚
APPEARS IN
संबंधित प्रश्न
Calculate the distance of an object of height h from a concave mirror of radius of curvature 20 cm, so as to obtain a real image of magnification 2. Find the location of the image also.
a) Give two reasons to explain why reflecting telescopes are preferred over refracting type.
Use the mirror equation to show that an object placed between f and 2f of a concave mirror produces a real image beyond 2f.
Use the mirror equation to deduce that the virtual image produced by a convex mirror is always diminished in size and is located between the focus and the pole.
Use the mirror equation to deduce that an object placed between the pole and focus of a concave mirror produces a virtual and enlarged image.
An object is kept on the principal axis of a concave mirror of focal length 10 cm. at a distance of 15
cm from its pole. The image formed by the mirror is:
(a) Virtual and magnified
(b) Virtual and diminished
(c) Real and magnified
(d) Real and diminished
Use the mirror equation to show that an object placed between f and 2f of a concave mirror forms an image beyond 2f.
Mark the correct options.
A cylindrical vessel of diameter 12 cm contains 800π cm3 of water. A cylindrical glass piece of diameter 8.0 cm and height 8.0 cm is placed in the vessel. If the bottom of the vessel under the glass piece is seen by the paraxial rays (see figure), locate its image. The index of refraction of glass is 1.50 and that of water is 1.33.
A small object is placed at the centre of the bottom of a cylindrical vessel of radius 3 cm and height 4 cm filled completely with water. Consider the ray leaving the vessel through a corner. Suppose this ray and the ray along the axis of the vessel are used to trace the image. Find the apparent depth of the image and the ratio of real depth to the apparent depth under the assumptions taken. Refractive index of water = 1.33.
A light ray is incident at an angle of 45° with the normal to a √2 cm thick plate (μ = 2.0). Find the shift in the path of the light as it emerges out from the plate.
A light ray, going through a prism with the angle of prism 60°, is found to deviate by 30°. What limit on the refractive index can be put from these data?
Name the physical principle on which the working of optical fibers is based.
The figure below shows the positions of a point object O, two lenses, a plane mirror and the final image I which coincides with the object. The focal length of the convex lens is 20 cm. Calculate the focal length of the concave lens.
For paraxial rays, show that the focal length of a spherical mirror is one-half of its radius of curvature.
A parallel beam of light is allowed to fall on a transparent spherical globe of diameter 30cm and refractive index 1.5. The distance from the centre of the globe at which the beam of light can converge is ______ mm.
When a clock is viewed in a mirror, the needles exhibit a time which appears to be 8:20. Then the actual time will be:
A point object is placed at a distance of 30 cm from a convex mirror of a focal length of 30 cm. What is the separation between the image and the object?