An object is placed at a distance of 50 , cm | vedclass

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

Question

(D) The object is at a distance of $50 \, cm$ from the convex mirror. The plane mirror is placed at a distance of $30 \, cm$ from the object.Since the

Vedclass · Accepted Answer

$25$

Vedclass · Answer

(D) The object is at a distance of $50 \, cm$ from the convex mirror. The plane mirror is placed at a distance of $30 \, cm$ from the object.Since the object is $30 \, cm$ in front of the plane mirror,the image formed by the plane mirror is $30 \, cm$ behind it.From the diagram,the distance of the plane mirror from the pole $P$ of the convex mirror is $50 \, cm - 30 \, cm = 20 \, cm$.Therefore,the image formed by the plane mirror is at a distance of $30 \, cm - 20 \, cm = 10 \, cm$ behind the convex mirror (i.e.,$v = +10 \, cm$).Since there is no parallax,the image formed by the convex mirror must coincide with the image formed by the plane mirror.For the convex mirror,the object distance $u = -50 \, cm$ and the image distance $v = +10 \, cm$.Using the mirror formula $\frac{1}{v} + \frac{1}{u} = \frac{1}{f}$:$\frac{1}{10} + \frac{1}{-50} = \frac{1}{f}$$\frac{5 - 1}{50} = \frac{1}{f} \Rightarrow \frac{4}{50} = \frac{1}{f} \Rightarrow f = 12.5 \, cm$.The radius of curvature $R = 2f = 2 	imes 12.5 = 25 \, cm$.

Similar Questions

The molecular formula of diphenylmethane is $C_{13}H_{12}$. How many structural isomers are possible when one of the hydrogen atoms is replaced by a chlorine atom?

Which of the following metals is the most reactive?

$A$ capacitor of capacity $0.1 \mu F$ connected in series to a resistor of $10 M \Omega$ is charged to a certain potential and then made to discharge through the resistor. The time in which the potential will take to fall to half its original value is (Given,$\log _{10} 2=0.3010$ ) (in $~s$)

$P$ is a point on the segment joining the feet of two vertical poles of heights $a$ and $b$. The angles of elevation of the tops of the poles from $P$ are $45^{\circ}$ each. Then,the square of the distance between the tops of the poles is

Vedclass Test Series

Exam Paper Generator

Online Exam Module