Column-I | Column-II | ||
A. | P. | zero | |
B. | Q. | \(P\) | |
C. | R. | \(2P\) | |
D. | S. | \(P\over 2\) |
1. | A → Q, B → P, C → S, D → R |
2. | A → S, B → R, C → Q, D → P |
3. | A → Q, B → S, C → Q, D → R |
4. | A → S, B → R, C → Q, D → Q |
(A) | Incident rays travelling 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 |
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 travelling from an optically rarer to a 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. |
Assertion (A): | The focal length of the objective of the telescope is larger than that of the eyepiece. |
Reason (R): | The resolving power of the telescope increases when the aperture of the objective is small. |
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): | 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. |
A biconvex lens is cut into two halves along (i) XOX' and (ii) YOY' as shown in the figure. Let \(f\), \(f'\) \(f''\) be the focal lengths of the complete lens, of each half in case (i), and of each half in case (ii), respectively.
Choose the correct statement from the following:
1. | \(f' = f,f'' =2f\) | 2. | \(f' = 2f, f''=f\) |
3. | \(f' =f, f''=f\) | 4. | \(f'=2f, f''=2f\) |
A convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens. Then its focal length will:
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 \(\frac{1}{3.8}~\text{cm}\) and the focal length of the objective is \(\frac{1}{4}~\text{cm}\). 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
A bulb is located on a wall. Its image is to be obtained on a parallel wall with the help of a convex lens. If the distance between parallel walls is 'd' then the required focal length of the lens placed in between the walls is:
1. | Only \(\frac{\mathrm{d}}{4}\) |
2. | Only \(\frac{\mathrm{d}}{2}\) |
3. | More than \(\frac{\mathrm{d}}{4}\)but less than \(\frac{\mathrm{d}}{2}\) |
4. | Less than or equal to \(\frac{\mathrm{d}}{4}\) |