A double convex lens of focal length 20 cm is made of glass of refractive index 3/2. When placed completely in water $\mu_w = 4/3$, its focal length will be |
80 cm 15 cm 17.7 cm 22.5 cm |
80 cm |
$\text{Focal length of lens in air is }\frac{1}{f_a} = (\mu_g - 1)(\frac{1}{R_1} - \frac{1}{R_2})$ $\text{Focal length of lens in liquid is }\frac{1}{f_l} = (\frac{\mu_g}{\mu_l} - 1)(\frac{1}{R_1} - \frac{1}{R_2})$ $\frac{f_l}{f_a} = \frac{\mu_g - 1}{\frac{\mu_g}{\mu_l} - 1} = \frac{1.5 - 1}{\frac{3/2}{4/3} - 1} = \frac{0.5}{1/8} = 4$ $\Rightarrow f_l = 80cm$ |