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  • Power of a convex lens is <img alt="+5 \mathrm{D}\left(\mu_{\mathrm{g}}=1.5\right)" src="https://entrancecorner.oncodecogs.com/gif.latex?&plus;5%20%5Cmathrm%7BD%7D%5Cleft%28%5Cmu_%7B%5Cmathrm%7

Power of a convex lens is +5 \mathrm{D}\left(\mu_{\mathrm{g}}=1.5\right).When this lens is immersed in a liquid of refractive index \mu,  it acts like a divergent lens of focal length 100 \mathrm{~cm}. Then refractive index of the liquid will be

Option: 1

\frac{5}{3}


Option: 2

\frac{5}{4}


Option: 3

\frac{6}{5}


Option: 4

none of these


Answers (1)

best_answer

\frac{\mathrm{P}_{\mathrm{a}}}{\mathrm{P}_{\mathrm{l}}}=\frac{\left(\frac{\mu_{\mathrm{g}}}{\mu_{\mathrm{a}}}-1\right)}{\left(\frac{\mu_{\mathrm{g}}}{\mu_{\mathrm{l}}}-1\right)}=\frac{5}{-100 / 100}=-5

\Rightarrow \mu_{1}=\frac{5}{3}

Posted by

sudhir.kumar

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