What will be the height of the image when an | vedclass

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

Question

(D) Given: Object height $h_o = 2 \ mm = 2 	imes 10^{-3} \ m$. Radius of curvature $R = +40 \ cm$ (for convex mirror). Focal length $f = R/2 = +20 \

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(D) Given: Object height $h_o = 2 \ mm = 2 	imes 10^{-3} \ m$. Radius of curvature $R = +40 \ cm$ (for convex mirror). Focal length $f = R/2 = +20 \ cm$. Object distance $u = -20 \ cm$. Using the mirror formula: $\frac{1}{v} + \frac{1}{u} = \frac{1}{f} \Rightarrow \frac{1}{v} - \frac{1}{20} = \frac{1}{20}$. $\frac{1}{v} = \frac{1}{20} + \frac{1}{20} = \frac{2}{20} = \frac{1}{10} \Rightarrow v = +10 \ cm$. Magnification $m = -\frac{v}{u} = \frac{h_i}{h_o}$. $m = -\frac{10}{-20} = +0.5$. $h_i = m 	imes h_o = 0.5 	imes 2 \ mm = 1 \ mm$.

What will be the height of the image when an object of height $2 \ mm$ is placed on the principal axis of a convex mirror (of radius of curvature $40 \ cm$) at a distance of $20 \ cm$ from the mirror?

Similar Questions

$A$ convex mirror is used to form the image of an object. Then which of the following statements is wrong?

$A$ driving mirror consists of a cylindrical mirror of radius of curvature $10 \,cm$ and the length over the curved surface is $10 \,cm$. If the eye of the driver is assumed to be at a great distance from the mirror,then the field of view in radians is: (in $.0$)

$A$ short object of length $L$ is placed along the principal axis of a concave mirror away from focus. The object distance is $u$. If the mirror has a focal length $f,$ what will be the length of the image? You may take $L << |u-f|$.

$A$ concave mirror gives an image three times as large as the object placed at a distance of $20 \ cm$ from it. For the image to be real,the focal length should be ...... $cm$.

In the figure shown,the image of a real object $O$ is formed at point $I$. $AB$ is the principal axis of the mirror. The mirror must be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module