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. | \(\theta = 24\frac{1}{2}^{\circ}\) |
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. | \(1.2 \times 10^8~\text{m/s}\) |
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. | \(46.0\) cm | 2. | \(50.0\) cm |
3. | \(54.0\) cm | 4. | \(37.3\) cm |
1. | \(8\) cm inside the sphere | 2. | \(12\) cm inside the sphere |
3. | \(4\) cm inside the sphere | 4. | \(3\) cm inside the sphere |
A ray of light falls on a prism \(ABC\) \((AB= BC)\) and travels as shown in figure. The refractive index of the prism material should be greater than:
1. | \(4 /{3}\) | 2. | \( \sqrt{2}\) |
3. | \(1.5\) | 4. | \( \sqrt{3}\) |
1. | \(80\) cm | 2. | \(40\) cm |
3. | \(60\) cm | 4. | \(20\) cm |
1. | \(f' = f\) |
2. | \(f'<f\) |
3. | \(f'>f\) |
4. | The information is insufficient to predict |
1. | \(X+Y\) | 2. | \(\frac{X + Y}{2}\) |
3. | \(X-Y\) | 4. | \(\frac{X - Y}{2}\) |