1. | \(46.0\) cm | 2. | \(50.0\) cm |
3. | \(54.0\) cm | 4. | \(37.3\) cm |
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 |
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. | \(45^{0},~\sqrt{2}\) | 2. | \(30^{0},~\sqrt{2}\) |
3. | \(30^{0},~\frac{1}{\sqrt{2}}\) | 4. | \(45^{0},~\frac{1}{\sqrt{2}}\) |
A lens having focal length \(f\) and aperture of diameter \(d\) forms an image of intensity \(I\). An aperture of diameter \(\frac{d}{2}\) in central region of lens is covered by a black paper. The focal length of lens and intensity of the image now will be respectively:
1. \(f\) and \(\frac{I}{4}\)
2. \(\frac{3f}{4}\) and \(\frac{I}{2}\)
3. \(f\) and \(\frac{3I}{4}\)
4. \(\frac{f}{2}\) and \(\frac{I}{2}\)
1. | \(1.8 \times 10^8 ~\text{m/s}\) | 2. | \(2.4 \times 10^8~\text{m/s}\) |
3. | \(3.0 \times 10^8~\text{m/s}\) | 4. | \(1.2 \times 10^8~\text{m/s}\) |
1. | \(90^{\circ}\) |
2. | \(180^{\circ}\) |
3. | \(0^{\circ}\) |
4. | equal to the angle of incidence |
1. | \(10\) m/s2 |
2. | \(20\) m/s2 |
3. | \(5\) m/s2 |
4. | can't be determined |
A light ray is incident at an angle of \(30^{\circ}\) on a transparent surface separating two media. If the angle of refraction is \(60^{\circ}\), then the critical angle is:
1. \(\sin^{- 1} \left(\frac{1}{\sqrt{3}}\right)\)
2. \(\sin^{- 1} \left(\sqrt{3}\right)\)
3. \(\sin^{- 1} \left(\frac{2}{3}\right)\)
4. \(45^{\circ}\)
In the figure shown the angle made by the light ray with the normal in the medium of refractive index \(\sqrt{2}\) is:
1. \(30^{\circ}\)
2. \(60^{\circ}\)
3. \(90^{\circ}\)
4. None of these
A fish is a little away below the surface of a lake. If the critical angle is \(49^{\circ}\), then the fish could see things above the water surface within an angular range of \(\theta^{\circ}\) where:
1. | \(\theta = 49^{\circ}\) | 2. | \(\theta = 90^{\circ}\) |
3. | \(\theta = 98^{\circ}\) | 4. | \(\theta = 24\frac{1}{2}^{\circ}\) |