(B) The formula for refraction at a spherical surface is given by: $\frac{\mu_2}{v} - \frac{\mu_1}{u} = \frac{\mu_2 - \mu_1}{R}$.Here,$\mu_1 = 1$,$\mu

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$0.4 \ m$ to the left of the spherical surface

(B) The formula for refraction at a spherical surface is given by: $\frac{\mu_2}{v} - \frac{\mu_1}{u} = \frac{\mu_2 - \mu_1}{R}$.Here,$\mu_1 = 1$,$\mu_2 = 1.5$,$u = -0.2 \ m$ (object is placed to the left),and $R = +0.4 \ m$ (center of curvature is to the right).Substituting the values into the formula:$\frac{1.5}{v} - \frac{1}{-0.2} = \frac{1.5 - 1}{0.4}$$\frac{1.5}{v} + 5 = \frac{0.5}{0.4}$$\frac{1.5}{v} + 5 = 1.25$$\frac{1.5}{v} = 1.25 - 5$$\frac{1.5}{v} = -3.75$$v = \frac{1.5}{-3.75} = -0.4 \ m$.The negative sign indicates that the image is formed $0.4 \ m$ to the left of the spherical surface.

Class 12 Physics Ray Optics and Optical Instruments Refraction Through Single Curved Surface

Medium

$A$ spherical surface separates two media of refractive indices $1$ and $1.5$ as shown in the figure. Find the distance of the image of an object $O$ from the spherical surface. ($C$ is the center of curvature of the spherical surface and $R$ is the radius of curvature).

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A
$0.24 \ m$ to the right of the spherical surface
B
$0.4 \ m$ to the left of the spherical surface
C
$0.24 \ m$ to the left of the spherical surface
D
$0.4 \ m$ to the right of the spherical surface

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Ray Optics and Optical Instruments

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Refraction Through Single Curved Surface

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$A$ spherical surface separates two media of refractive indices $1$ and $1.5$ as shown in the figure. Find the distance of the image of an object $O$ from the spherical surface. ($C$ is the center of curvature of the spherical surface and $R$ is the radius of curvature).

Similar Questions

Refer to the figure given below. $\mu_1$ and $\mu_2$ are the refractive indices of air and the lens material,respectively. The height of the image will be . . . . . . cm.

As shown in the figure,an air bubble is located at a distance of $3 \, cm$ from a spherical surface of a glass $(\mu = 1.5)$ with a diameter of $10 \, cm$. If the surface is concave,at what distance from the surface will the bubble appear? (in $cm$)

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.

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