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  • Using lens maker formula derived the thin lens formula u 1/f =1/v -1/u for biconvex lens   

Using lens maker formula derived the thin lens formula u 1/f =1/v -1/u for biconvex lens 

 

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

\begin{aligned} &\frac{n}{v_1}-\frac{1}{u}=\frac{n-1}{R_1}\\ &\frac{1}{v}-\frac{n}{v_1}=\frac{n-1}{R_2} \end{aligned}

\begin{aligned} &\left(\frac{n}{v_1}-\frac{1}{w}\right)+\left(\frac{1}{v}-\frac{n}{v_1}\right)=\frac{n-1}{R_1}+\frac{n-1}{R_2}\\ &\frac{1}{v}-\frac{1}{u}=(n-1)\left(\frac{1}{R_1}-\frac{1}{R_2}\right)=\frac{1}{f} \end{aligned}

\frac{1}{f}=\frac{1}{v}-\frac{1}{u}

Posted by

Divya Sharma

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