In the figure shown,a point object O is place | vedclass

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

Question

(A) For the rays to retrace their path,they must strike the plane mirror normally. This means the rays must become parallel to the principal axis afte

Vedclass · Accepted Answer

If $d_1 = 120\, cm$,then the $I_f$ is formed on $O$ for any value of $d_2$.

Vedclass · Answer

(A) For the rays to retrace their path,they must strike the plane mirror normally. This means the rays must become parallel to the principal axis after refraction at the spherical surface.Using the refraction formula at a spherical surface: $\frac{\mu_2}{v} - \frac{\mu_1}{u} = \frac{\mu_2 - \mu_1}{R}$.Here,$\mu_1 = 1$ (air),$\mu_2 = 1.5$ (glass),$R = +60\, cm$ (convex surface),and for parallel rays,$v = \infty$.$\frac{1.5}{\infty} - \frac{1}{-d_1} = \frac{1.5 - 1}{60} \implies \frac{1}{d_1} = \frac{0.5}{60} = \frac{1}{120}$.Thus,$d_1 = 120\, cm$. If $d_1 = 120\, cm$,the rays become parallel to the principal axis after refraction,strike the plane mirror normally,and retrace their path to form the image at $O$,regardless of the distance $d_2$.Therefore,statement $(A)$ is correct.

In the figure shown,a point object $O$ is placed in air on the principal axis. The radius of curvature of the spherical surface is $60\, cm$. Let $I_f$ be the final image formed after all the refractions and reflections. Which of the following statements is correct?

Similar Questions

For a concave mirror,if a real image is formed,the graph between $\frac{1}{u}$ and $\frac{1}{v}$ is of the form:

The curvature radii of a concavo-convex glass lens are $20\, cm$ and $60\, cm$. The convex surface of the lens is silvered. With the lens horizontal,the concave surface is filled with water. The focal length of the effective mirror is $(\mu_{\text{glass}} = 1.5, \mu_{\text{water}} = 4/3)$.

$A$ point source $S$ is placed at a distance of $15 \; cm$ from a converging lens of focal length $10 \; cm$. Where should a concave mirror of focal length $12 \; cm$ be placed so that a real image is formed on the object itself (in $; cm$)?

If the luminous intensity of a $100 \, W$ unidirectional bulb is $100 \, \text{candela}$, then the total luminous flux emitted from the bulb is ....... $lumen$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module