Statement I: | In total internal reflection, the angle of incidence must be greater than a certain minimum angle which depends on the media involved. |
Statement II: | Total internal reflection cannot occur when light is traveling from an optically rarer to an optically denser medium. |
1. | Statement I is incorrect and Statement II is correct. |
2. | Both Statement I and Statement II are correct. |
3. | Both Statement I and Statement II are incorrect. |
4. | Statement I is correct and Statement II is incorrect. |
(A) | Incident rays traveling parallel to the principal axis always pass through \(F\) after reflection. |
(B) | Incident rays passing through \(F\) always travel parallel to the principal axis after reflection. |
(C) | The image formed is always inverted. |
(D) | The image formed is always real. |
(E) | The image formed is always larger than the object. |
1. | (A) and (C) only |
2. | (C), (D) and (E) only |
3. | (B) and (D) only |
4. | (A) and (B) only |
Column I | Column II | ||
(A) | ![]() |
(P) | zero |
(B) | ![]() |
(Q) | \(P\) |
(C) | ![]() |
(R) | \(2P\) |
(D) | ![]() |
(S) | \(\dfrac P2\) |
1. | \(\mathrm{A → Q, B → P, C → S, D → R}\) |
2. | \(\mathrm{A → S, B → R, C → Q, D → P}\) |
3. | \(\mathrm{A → Q, B → S, C → Q, D → R}\) |
4. | \(\mathrm{A → S, B → R, C → Q, D → Q}\) |
Assertion (A): | Critical angle of light passing from angle to air is minimum for violet colour. |
Reason (R): | The wavelength of violet light is greater than the light of other colours. |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | Both (A) and (R) are False. |
Assertion (A): | The angle of deviation depends on the angle of the prism. |
Reason (R): | \(\delta=(\mu-1)A.\) | For the thin prism,
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | Both (A) and (R) are False. |
1. | \(f' = f,f'' =2f\) | 2. | \(f' = 2f, f''=f\) |
3. | \(f' =f, f''=f\) | 4. | \(f'=2f, f''=2f\) |
1. | become zero. |
2. | become infinite. |
3. | become small, but non-zero. |
4. | remain unchanged. |
In a compound microscope, the magnification is \(95,\) the distance of the object from the objective lens is \(\left(\dfrac{1}{3.8}\right)~\text{cm}\) and the focal length of the objective is \(\dfrac{1}{4}~\text{cm}.\) What is the magnification of the eyepiece when the final image is formed at the least distance of distinct vision?
1. \(5\)
2. \(10\)
3. \(100\)
4. none of the above
1. | Only \(\frac{d}{4}\) |
2. | Only \(\frac{d}{2}\) |
3. | More than \(\frac{d}{4}\) but less than \(\frac{d}{2}\) |
4. | Less than or equal to \(\frac{d}{4}\) |
For the given incident ray as shown in the figure, in the condition of the total internal reflection of this ray, the minimum refractive index of the prism will be:
1. | \(\dfrac{\sqrt{3} + 1}{2}\) | 2. | \(\dfrac{\sqrt{2} + 1}{2}\) |
3. | \(\sqrt{\dfrac{3}{2}}\) | 4. | \(\sqrt{\dfrac{7}{6}}\) |