Ray Optics And Optical Instruments Ques 2

2. A plano-convex lens is made of material of refractive index 1.6. The radius of curvature of the curved surface is $60 $ $\mathrm{cm}$. The focal length of the lens is

[1999]

(a) $50 $ $\mathrm{cm}$

(b) $100 $ $\mathrm{cm}$

(c) $200$ $ \mathrm{cm}$

(d) $400$ $ \mathrm{cm}$

Show Answer

Answer:

Correct Answer: 2.(b)

Solution: (b) $ R_1=60 \mathrm{cm}, R_2=\infty, \mu=1.6 $

$ \frac{1}{f}=(\mu-1)\left(\frac{1}{R_1}-\frac{1}{R_2}\right) $

$\frac{1}{f}=(1.6-1)\left(\frac{1}{60}\right) \Rightarrow f=100 $ $\mathrm{cm} .$