Home
Class 12
PHYSICS
A thin converging glass lens made of gla...

A thin converging glass lens made of glass with refractive index 1.5 has a power of +5.0 D. When this lens is immersed in a liquid of refractive index n, it acts as a divergent lens of focal length 100 cm. What must be the value of n?

Text Solution

Verified by Experts

Given data: Refractive index of thin convergent lens `mu_g` = 1.5
Refractive index of thin convergent lens.
immersed in liquid `mu_g` = ?
Power of thin convergent lens P = +5D
Focal length of a divergent lens f = 100 cm
To find : The value of m = ?
Formula: m` = (P_a)/(P_1)`
` = (P_a)/(P_1) = ((mu_g)/(mu_a) - 1)/((mu_g)/(mu_1) - 1) = (+5)/((-100)/(100) ) = 5`
` = 5[ (mu_g)/(mu_1) - 1 ] = (mu_g)/(mu_a) - 1`
` (1.5)/(mu_1) - 1 = (-1)/(5) (1.5 - 1) = 0.1`
`mu_1 = (1.5)/(0.9) = 5/3`
`mu_1 = 5/3`
Promotional Banner

Similar Questions

Explore conceptually related problems

A convex lens is dipped in a liquid, whose refractive index is equal to the refractive index of the lens. Then, its focal length will

A double convex lens, made from a material of refractive index mu_1 , is immersed in a liquid of refractive index mu_2 , where mu_2 gt mu_1 . What change, if any, would occur in the nature of the lens?

One type of transparent glass has refractive index 1.5. What is the speed of light through thi glass?

A double convex lens is to be made of glass with refractive index. 1.5 One surface is to have twice the radius of curvature of the other surface and focal length is to be 60 mm. What are the radii ?

A thin lens made of a material of refractive index mu_2 has a medium of refractive index mu_1 on one side and a medium of refractive index on the other side. The lens is biconvex and the two radii of curvature have equal magnitude R. A beam of light travelling parallel to the principal axis is incident on the lens. Where will the image be formed if the beam is incident from (a) the medium p, and (b) from the medium mu_3 ?

When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid, it acts as a plane sheet of glass. This implies that the liquid must have refractive index,