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KCET · Physics · Ray Optics

A point object \(O\) is placed in front of a glass rod having spherical end of radius of curvature \(30 \mathrm{~cm}\). The image would be formed at


  1. A \(30 \mathrm{~cm}\) left
  2. B infinity
  3. C \(1 \mathrm{~cm}\) to the right
  4. D \(18 \mathrm{~cm}\) to the left
Verified Solution

Answer & Solution

Correct Answer

(A) \(30 \mathrm{~cm}\) left

Step-by-step Solution

Detailed explanation

By using formula, \(\frac{\mu_{2}}{\mathrm{v}}-\frac{\mu_{1}}{\mathrm{u}}=\frac{\mu_{2}-\mu_{1}}{\mathrm{R}}\) \(\Rightarrow \quad \frac{1.5}{\mathrm{v}}-\frac{1}{(-15)}=\frac{(1.5-1)}{+30} \Rightarrow \mathrm{v}=-30 \mathrm{~cm}\)
Negative sign shows that, image is obtained on the same side of object ie, towards left.