A bi-concave symmetric lens made of glass has | vedclass

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

Question

(D) Given:Refractive index of the glass lens,$n_2 = 1.5$Refractive index of the liquid medium,$n_1 = 1.75$Radius of curvature for a bi-concave lens: $

Vedclass · Accepted Answer

None of these

Vedclass · Answer

(D) Given:Refractive index of the glass lens,$n_2 = 1.5$Refractive index of the liquid medium,$n_1 = 1.75$Radius of curvature for a bi-concave lens: $R_1 = -R$ and $R_2 = +R$.Using the Lens Maker's formula:$\frac{1}{f} = \left( \frac{n_2}{n_1} - 1 \right) \left( \frac{1}{R_1} - \frac{1}{R_2} \right)$Substituting the values:$\frac{1}{f} = \left( \frac{1.5}{1.75} - 1 \right) \left( \frac{1}{-R} - \frac{1}{R} \right)$$\frac{1}{f} = \left( \frac{1.5 - 1.75}{1.75} \right) \left( -\frac{2}{R} \right)$$\frac{1}{f} = \left( \frac{-0.25}{1.75} \right) \left( -\frac{2}{R} \right)$$\frac{1}{f} = \left( -\frac{1}{7} \right) \left( -\frac{2}{R} \right) = \frac{2}{7R}$$f = 3.5 \,R$Since the focal length $f$ is positive,the lens behaves as a converging lens with a focal length of $3.5 \,R$. Therefore,the correct option is $D$.

$A$ bi-concave symmetric lens made of glass has a refractive index of $1.5$. It has both surfaces with the same radius of curvature $R$. On immersion in a liquid of refractive index $1.75$,it will behave as a:

Similar Questions

Provide the object distance,image distance,type,size,and magnification for an object placed in front of a thin convex lens for different positions.

$A$ beam of light converges at a point $P$. Now a lens is placed in the path of the convergent beam $12 \, cm$ from $P$. At what point does the beam converge if the lens is a concave lens of focal length $16 \, cm$ (in $, cm$)?

The diameter of a plano-convex lens is $6 \, cm$ and its thickness at the centre is $3 \, mm$. If the speed of light in the material of the lens is $2 \times 10^8 \, m/s$,the focal length of the lens is.......$cm$.

The focal length of a convex lens depends upon

Write the lens formula for a thin lens.

Vedclass Test Series

Exam Paper Generator

Online Exam Module