Refractive index of the lens,
µl=1.5 Refractive index of air,
µa=1 Focal length of the lens in air,
f=20cm Using the lens maker's formula:
‌=(‌−1)(‌−‌) Substituting the known values:
‌‌=(1.5−1)(‌−‌) ‌‌=(‌−‌) Now, when the lens is immersed in a liquid with refractive index
µ‌liquid ‌, it behaves as a concave lens:
Power of the lens in the liquid,
P=−1D Calculating focal length in the liquid:
f=‌=‌=−100cm Applying the lens maker's formula for the lens immersed in the liquid:
‌=(‌| 1.5−µ‌liquid ‌ |
| µ‌liquid ‌ |
)(‌−‌) Using the earlier result:
‌=(‌−1)×‌ Solving for
muliquid: ‌‌=1−‌ ‌µ‌liquid ‌=‌ ‌µ‌liquid ‌=‌