The circular boundary of the concave mirror s | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) For a ray incident parallel to the principal axis to undergo multiple reflections,it must strike the mirror at a point such that after the first r

Vedclass · Accepted Answer

$45$

Vedclass · Answer

(B) For a ray incident parallel to the principal axis to undergo multiple reflections,it must strike the mirror at a point such that after the first reflection,it is directed towards another point on the mirror.Consider a ray incident at the edge of the mirror. After reflection,the angle of incidence equals the angle of reflection. The normal at any point on the spherical mirror passes through the centre of curvature $C$.For the ray to hit the other end of the mirror after the first reflection,the reflected ray must make an angle of $90^{\circ}$ with the incident ray (which is parallel to the principal axis). From the geometry of the reflection,the angle between the normal and the reflected ray is $	heta$. The angle between the incident ray and the normal is also $	heta$. Thus,the angle between the incident ray and the reflected ray is $2	heta$. For the reflected ray to be perpendicular to the incident ray,we must have $2	heta = 90^{\circ}$.Therefore,$	heta = 45^{\circ}$.

The circular boundary of the concave mirror subtends a cone of half-angle $\theta$ at its centre of curvature. The minimum value of $\theta$ for which a ray incident on this mirror parallel to the principal axis suffers more than one reflection is......$^o$

Similar Questions

The sun (diameter $d$) subtends an angle $\theta$ radian at the pole of a concave mirror of focal length $f$. What is the diameter of the image of the sun formed by the mirror?

An object is placed on the principal axis of a concave mirror at a distance of $1.5 f$ ($f$ is the focal length). The image will be at ....... $f$.

Define the following for curved mirrors: $(1)$ Radius of curvature,$(2)$ Centre of curvature,$(3)$ Pole,$(4)$ Principal axis,$(5)$ Aperture,$(6)$ Principal focus,$(7)$ Focal plane,$(8)$ Focal length,$(9)$ Paraxial rays.

$A$ concave mirror of focal length $10$ cm forms an image which is double the size of the object when the object is placed at two different positions. The distance between the two positions of the object is . . . . . . cm.

The focal length of a concave mirror is $50 \, cm$. Where should an object be placed so that its image is two times magnified and inverted?

Vedclass Test Series

Exam Paper Generator

Online Exam Module