The figure shows three transparent media of refractive indices \(\mu_1,~\mu_2\) and \(\mu_3\). A point object \(O\) is placed in the medium \(\mu_2\). If the entire medium on the right of the spherical surface has refractive index \(\mu_1\), the image forms at \(O'.\) If this entire medium has refractive index \(\mu_3\), the image forms at \(O''.\) In the situation shown,
1. | \(O'\) and \(O''.\) | the image forms between
2. | \(O'.\) | the image forms to the left of
3. | \(O''.\) | the image forms to the right of
4. | \(O'\) and the other at \(O''.\) | two images form, one at
Consider three converging lenses \(L_1,\) \(L_2\) and \(L_3\) having identical geometrical construction. The index of refraction of \(L_1\) and \(L_2\) are \(\mu_1\) and \(\mu_2\) respectively. The upper half of the lens \(L_3\) has a refractive index \(\mu_1\) and the lowest half has \(\mu_2\) (figure). A point object \(O\) is imaged at \(O_1\) by the lens \(L_1\) and at \(O_2\) by the lens \(L_2\) placed in the same position. If \(L_3\) is placed at the same place:
(a) | there will be an image at \(O_1\) |
(b) | there will be an image at \(O_2\) |
(c) | the only image will form somewhere between \(O_1\) and \(O_2\) |
(d) | the only image will form away from \(O_2\) |
Choose the correct option from the given ones:
1. | (a) and (b) only |
2. | (b) and (c) only |
3. | (c) and (d) only |
4. | all of these |