A rod of length 10, cm lies along the princip | vedclass

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

Question

(D) Given,focal length of the concave mirror $f = -10\, cm$.For end $A$ of the rod,the object distance is $u_A = -20\, cm$.Using the mirror formula $\

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(D) Given,focal length of the concave mirror $f = -10\, cm$.For end $A$ of the rod,the object distance is $u_A = -20\, cm$.Using the mirror formula $\frac{1}{v} + \frac{1}{u} = \frac{1}{f}$:$\frac{1}{v_A} + \frac{1}{-20} = \frac{1}{-10}$$\frac{1}{v_A} = -\frac{1}{10} + \frac{1}{20} = -\frac{1}{20}$$v_A = -20\, cm$.For end $B$ of the rod,the object distance is $u_B = -(20 + 10) = -30\, cm$.Using the mirror formula:$\frac{1}{v_B} + \frac{1}{-30} = \frac{1}{-10}$$\frac{1}{v_B} = -\frac{1}{10} + \frac{1}{30} = -\frac{2}{30} = -\frac{1}{15}$$v_B = -15\, cm$.The length of the image is the distance between the image positions of the two ends:$L = |v_A - v_B| = |-20 - (-15)| = |-5| = 5\, cm$.

$A$ rod of length $10\, cm$ lies along the principal axis of a concave mirror of focal length $10\, cm$ in such a way that its end closer to the pole is $20\, cm$ away from the mirror. The length of the image is ......$cm$.

Similar Questions

$A$ concave shaving mirror has a radius of curvature of $35.0 \, cm$. It is positioned so that the upright image of a man's face is $2.5 \, \times$ the size of the face. How far is the mirror from the face in $cm$?

An object $2.5 \, cm$ high is placed at a distance of $10 \, cm$ from a concave mirror of radius of curvature $30 \, cm$. The size of the image is ........ $cm$.

Provide the object and image distances,type,size,and magnification for an object placed in front of a concave spherical mirror for the cases shown in the image.

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

The image formed by a concave mirror is

Vedclass Test Series

Exam Paper Generator

Online Exam Module