Q. No.An object is placed \(20~\text{cm}\) in front of a concave mirror of a radius of curvature \(10~\text{cm}.\) The position of the image from the pole of the mirror is:
1. \(7.67~\text{cm}\)
2. \(6.67~\text{cm}\)
3. \(8.67~\text{cm}\)
4. \(9.67~\text{cm}\)
| 1. | smaller in size. |
| 2. | inverted. |
| 3. | between the focus and centre of curvature. |
| 4. | All of the above. |
Which of the following statements are correct?
(assume the mirror is parabolic)
| (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. |
Choose the correct option:
| 1. | (A) and (C) only |
| 2. | (C), (D) and (E) only |
| 3. | (B) and (D) only |
| 4. | (A) and (B) only |
(Where \(m\) is the magnification produced by the mirror)
| Column 1 | Column 2 | ||
| A. | \(m= -2\) | I. | convex mirror |
| B. | \(m= -\frac{1}{2}\) | II. | concave mirror |
| C. | \(m= +2\) | III. | real Image |
| D. | \(m= +\frac{1}{2}\) | IV. | virtual Image |
Codes:
| A | B | C | D | |
| 1. | I & III | I & IV | I & II | III & IV |
| 2. | I & IV | II & III | II & IV | II & III |
| 3. | III & IV | II & IV | II & III | I & IV |
| 4. | II & III | II & III | II & IV | I & IV |
| 1. | \(f' = f\) |
| 2. | \(f'<f\) |
| 3. | \(f'>f\) |
| 4. | The information is insufficient to predict |
A \(4.5~\text{cm}\) needle is placed \(12~\text{cm}\) away from a convex mirror of focal length \(15~\text{cm}.\) What is the magnification?
1. \(0.5\)
2. \(0.56\)
3. \(0.45\)
4. \(0.15\)
| 1. | \(10~\text{cm}\) | 2. | \(15~\text{cm}\) |
| 3. | \(20~\text{cm}\) | 4. | \(30~\text{cm}\) |
A convex mirror of focal length \(f\) forms an image which is \(\frac{1}{n}\) times the length of the object. The distance of the object from the mirror is:
1. \((n-1)f\)
2. \(\left( \frac{n-1}{n} \right)f\)
3. \(\left( \frac{n+1}{n} \right)f\)
4. \((n+1)f\)
| 1. | \(10\) cm | 2. | \(15\) cm |
| 3. | \(2.5\) cm | 4. | \(5\) cm |
A thin rod of length \(\dfrac{f}{3}\) lies along the axis of a concave mirror of focal length \(f.\) One end of its magnified, real image touches an end of the rod. The length of the image is:
| 1. | \(f\) | 2. | \(\dfrac{f}{2}\) |
| 3. | \(2f\) | 4. | \(\dfrac{f}{4}\) |
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