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Obtain the equation of thin lens. |
Answer» <html><body><p></p>Solution :For refraction at two spherical surfaces of lens,<br/>`(n_1)/(-u)+(n_1)/(v)=(n_2-n_1)[(<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>)/(R_1)-(1)/(R_2)]`<br/>`therefore(1)/(-u)+(1)/(v)=((n_2)/(n_1)-1)[(1)/(R_1)-(1)/(R_2)]` [`therefore` <a href="https://interviewquestions.tuteehub.com/tag/dividing-957391" style="font-weight:bold;" target="_blank" title="Click to know more about DIVIDING">DIVIDING</a> by `n_1`]<br/>`therefore(1)/(-u)+(1)/(v)=(n_(21)-1)[(1)/(R_1)-(1)/(R_2)]` ... (1)<br/>and lens maker.s formula,<br/>`1/f=(n_(21)-1)[(1)/(R_1)-(1)/(R_2)]` ... (2)<br/>By comparing equation (1) and (2),<br/>`1/f=(1)/(-u)+(1)/(v)` or `1/f=1/v-1/u`<br/>Here, the <a href="https://interviewquestions.tuteehub.com/tag/distances-956488" style="font-weight:bold;" target="_blank" title="Click to know more about DISTANCES">DISTANCES</a> are as per sign conventior and this equation is true for real and virtua images of convex and concave lenses.</body></html> | |