A thin lens of glass is immersed in water .What will be the effect on the power of the lens
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Let the focal length of lens in water be 
and we also assume
is the refractive index of water and
is the refractive index of lens .
according to lens maker formula,
![\frac{1}{f_w}=\left[\frac{n_2}{n_1}-1\right]\left[\frac{1}{R_1}-\frac{1}{R_2}\right] \frac{1}{f_w}=\left[\frac{n_2}{n_1}-1\right]\left[\frac{1}{R_1}-\frac{1}{R_2}\right]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bf_w%7D%3D%5Cleft%5B%5Cfrac%7Bn_2%7D%7Bn_1%7D-1%5Cright%5D%5Cleft%5B%5Cfrac%7B1%7D%7BR_1%7D-%5Cfrac%7B1%7D%7BR_2%7D%5Cright%5D)
now you should notice that refractive index of glass is greater than refractive index of water. e.g., refractive index of glass,
=1.5
and refractive index of water,
=1.33
so,![\left[\frac{n_2}{n_1}-1\right]\approx0.28 \left[\frac{n_2}{n_1}-1\right]\approx0.28](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7Bn_2%7D%7Bn_1%7D-1%5Cright%5D%5Capprox0.28)
while when lens in air :
and 
then,![\left[\frac{n_2}{n_1}-1\right]=0.5 \left[\frac{n_2}{n_1}-1\right]=0.5](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7Bn_2%7D%7Bn_1%7D-1%5Cright%5D%3D0.5)
here we observe after immerging of lens in water focal length of lens decreases. so, power of lens increase [ because power is inversely proportional to focal length ]
and we also assume
according to lens maker formula,
now you should notice that refractive index of glass is greater than refractive index of water. e.g., refractive index of glass,
and refractive index of water,
so,
while when lens in air :
then,
here we observe after immerging of lens in water focal length of lens decreases. so, power of lens increase [ because power is inversely proportional to focal length ]
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