The sun (diameter D) subtends an angle theta | vedclass

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

Question

(A) The sun is at a very large distance from the mirror,so the rays coming from the sun are parallel to the principal axis.These rays will focus at th

Vedclass · Accepted Answer

$f 	heta$

Vedclass · Answer

(A) The sun is at a very large distance from the mirror,so the rays coming from the sun are parallel to the principal axis.These rays will focus at the focal plane of the mirror.The image of the sun is formed at the focal plane.From the geometry of the setup,the angle subtended by the sun at the pole is $	heta$.Since the image is formed at the focal plane at a distance $f$ from the pole,we can use the relation: $	ext{Angle} = \frac{	ext{Arc}}{	ext{Radius}}$.Here,the arc corresponds to the diameter of the image $(d)$ and the radius corresponds to the focal length $(f)$.Therefore,$	heta = \frac{d}{f}$.Thus,the diameter of the image is $d = f 	heta$.

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

Similar Questions

For a point object,which of the following always produces a virtual image in air?

All of the following statements are correct except:

Ram is looking at his face in a mirror kept $10 \ cm$ away and he finds that his image is erect and magnified $(m = 1.8)$. If he holds the mirror $50 \ cm$ away,what will he see?

The distance of an object from a spherical mirror is equal to the focal length of the mirror. Then the image:

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.

Vedclass Test Series

Exam Paper Generator

Online Exam Module