Two transparent media having refractive indic | vedclass

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

Question

(A) Given: Refractive index of rarer medium $\mu_1 = 1.0$,refractive index of denser medium $\mu_2 = 1.5$. Radius of curvature $R = +30\,cm$ (as the c

Vedclass · Accepted Answer

$30$

Vedclass · Answer

(A) Given: Refractive index of rarer medium $\mu_1 = 1.0$,refractive index of denser medium $\mu_2 = 1.5$. Radius of curvature $R = +30\,cm$ (as the centre of curvature is in the direction of light propagation). Object distance $u = -15\,cm$ (measured against the direction of light).Using the formula for refraction at a spherical surface:$\frac{\mu_2}{v} - \frac{\mu_1}{u} = \frac{\mu_2 - \mu_1}{R}$Substituting the values:$\frac{1.5}{v} - \frac{1.0}{-15} = \frac{1.5 - 1.0}{30}$$\frac{1.5}{v} + \frac{1}{15} = \frac{0.5}{30}$$\frac{1.5}{v} + \frac{1}{15} = \frac{1}{60}$$\frac{1.5}{v} = \frac{1}{60} - \frac{1}{15}$$\frac{1.5}{v} = \frac{1 - 4}{60} = \frac{-3}{60} = -\frac{1}{20}$$v = 1.5 	imes (-20) = -30\,cm$.The negative sign indicates that the image is formed on the same side as the object at a distance of $30\,cm$ from the pole.

Similar Questions

Write the equation for the image formed by a curved surface of radius of curvature $R$ in a medium of refractive index $n_1$.

Derive the relation between object distance $(u)$,image distance $(v)$,refractive indices of the media ($n_1$ and $n_2$),and the radius of curvature $(R)$ for a spherical refracting surface.

Explain the refraction by two transparent spherically curved surfaces.

$A$ beam of diameter $d$ is incident on a glass hemisphere as shown. If the radius of curvature of the hemisphere is very large in comparison to $d$,then the diameter of the beam at the base of the hemisphere will be:

$A$ quarter cylinder of radius $R$ and refractive index $1.5$ is placed on a table. $A$ point object $P$ is kept at a distance of $mR$ from it. Find the value of $m$ for which a ray from $P$ will emerge parallel to the table as shown in the figure.

Vedclass Test Series

Exam Paper Generator

Online Exam Module