A straight metal rod of length 6 cm is place | vedclass

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

Question

(D) Given: Focal length $f = -9 \ cm$ (concave mirror). The rod is placed along the principal axis. The end closer to the mirror is at $u_1 = -15 \ cm

Vedclass · Accepted Answer

$6.75$

Vedclass · Answer

(D) Given: Focal length $f = -9 \ cm$ (concave mirror). The rod is placed along the principal axis. The end closer to the mirror is at $u_1 = -15 \ cm$. The length of the rod is $6 \ cm$, so the farther end is at $u_2 = -15 - 6 = -21 \ cm$.Using the mirror formula $\frac{1}{v} + \frac{1}{u} = \frac{1}{f}$, we find the image positions $v_1$ and $v_2$.For $u_1 = -15 \ cm$: $\frac{1}{v_1} = \frac{1}{-9} - \frac{1}{-15} = \frac{-5 + 3}{45} = \frac{-2}{45} \implies v_1 = -22.5 \ cm$.For $u_2 = -21 \ cm$: $\frac{1}{v_2} = \frac{1}{-9} - \frac{1}{-21} = \frac{-7 + 3}{63} = \frac{-4}{63} \implies v_2 = -15.75 \ cm$.The length of the image is $|v_1 - v_2| = |-22.5 - (-15.75)| = |-6.75| = 6.75 \ cm$.

$A$ straight metal rod of length $6 \ cm$ is placed along the principal axis of a concave mirror of focal length $9 \ cm$ such that the end of the rod closer to the mirror is at a distance of $15 \ cm$ from the pole of the mirror. The length of the image of the rod is (in $cm$)

Similar Questions

An object is placed at a distance of $40 \ cm$ in front of a concave mirror of focal length $20 \ cm$. The image produced is

The graph shows the variation of $v$ with change in $u$ for a mirror. Points plotted above the point $P$ on the curve are for values of $v$:

In a car,a rear-view mirror having a radius of curvature $1.50 \, m$ forms a virtual image of a bus located $10.0 \, m$ from the mirror. The factor by which the mirror magnifies the size of the bus is close to

The field of view is maximum for

An object placed in front of a concave mirror of focal length $0.15 \,m$ produces a virtual image,which is twice the size of the object. The position of the object with respect to the mirror is ........... $cm$. (in $.5$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module