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  4. A point object O is placed in front of a glass rod having a spherical end of the radius of curvature 30 cm . The image would be formed at <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-yebdrzsjzdke.png />

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Q. A point object $O$ is placed in front of a glass rod having a spherical end of the radius of curvature $30 \, cm$ . The image would be formed at



Question

NTA AbhyasNTA Abhyas 2020Ray Optics and Optical Instruments

Solution:

By using lens maker's formula,
$\frac{\mu ₂}{v}-\frac{\mu ₁}{u}=\frac{\mu ₂ \, - \mu ₁}{R}$
$\Longrightarrow \frac{1.5}{v}-\frac{1}{\left(- 15\right)}=\frac{1.5 - 1}{+ 30}$
$\Longrightarrow v= \, -30 \, cm$