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(A) The lens maker's formula is given by $\frac{1}{f} = (\frac{n_l}{n_m} - 1)(\frac{1}{R_1} - \frac{1}{R_2})$,where $n_l$ is the refractive index of t

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become infinite

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(A) The lens maker's formula is given by $\frac{1}{f} = (\frac{n_l}{n_m} - 1)(\frac{1}{R_1} - \frac{1}{R_2})$,where $n_l$ is the refractive index of the lens and $n_m$ is the refractive index of the surrounding medium.Given that the refractive index of the liquid is equal to the refractive index of the lens material,we have $n_l = n_m$.Substituting this into the formula: $\frac{1}{f} = (\frac{n_l}{n_l} - 1)(\frac{1}{R_1} - \frac{1}{R_2}) = (1 - 1)(\frac{1}{R_1} - \frac{1}{R_2}) = 0$.Since $\frac{1}{f} = 0$,the focal length $f$ becomes infinite.This means the lens will behave like a plane glass plate.

$A$ convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens material. Then its focal length will

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