At point A on the earth's surface, the angle of dip is, . At a point B on the earth's surface, the angle of dip is, . We can interpret that:
| 1. | A and B are both located in the southern hemisphere. |
| 2. | A and B are both located in the northern hemisphere. |
| 3. | A is located in the southern hemisphere and B is located in the northern hemisphere. |
| 4. | A is located in the northern hemisphere and B is located in the southern hemisphere. |
| 1. | \(\dfrac{1}{2}MgL\) | 2. | \(Mgl\) |
| 3. | \(MgL\) | 4. | \(\dfrac{1}{2}Mgl\) |
A parallel plate capacitor of capacitance \(20~\mu\text{F}\) is being charged by a voltage source whose potential is changing at the rate of \(3~\text{V/s}.\) The conduction current through the connecting wires, and the displacement current through the plates of the capacitor would be, respectively:
| 1. | zero, zero | 2. | zero, \(60~\mu\text{A}\) |
| 3. | \(60~\mu\text{A},\) \(60~\mu\text{A}\) | 4. | \(60~\mu\text{A},\) zero |
A mass \(m\) is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when:
| 1. | inclined at an angle of \(60^{\circ}\) from vertical. |
| 2. | the mass is at the highest point. |
| 3. | the wire is horizontal. |
| 4. | the mass is at the lowest point. |
| 1. | \(2:1\) | 2. | \(4:9\) |
| 3. | \(9:4\) | 4. | \(1:2\) |
| 1. | \(90^{\circ}\) |
| 2. | \(180^{\circ}\) |
| 3. | \(0^{\circ}\) |
| 4. | equal to the angle of incidence |
Two similar thin equi-convex lenses, of focal length \(f\) each, are kept coaxially in contact with each other such that the focal length of the combination is \(F_1\). When the space between the two lenses is filled with glycerin which has the same refractive index as that of glass \((\mu = 1.5),\) then the equivalent focal length is \(F_2\). The ratio \(F_1:F_2\) will be:
| 1. | \(3:4\) | 2. | \(2:1\) |
| 3. | \(1:2\) | 4. | \(2:3\) |
| 1. | \(1:4\) | 2. | \(2:1\) |
| 3. | \(1:2\) | 4. | \(4:1\) |
In an experiment, the percentage errors that occurred in the measurement of physical quantities \(A,\) \(B,\) \(C,\) and \(D\) are \(1\%\), \(2\%\), \(3\%\), and \(4\%\) respectively. Then, the maximum percentage of error in the measurement of \(X,\) where \(X=\frac{A^2 B^{\frac{1}{2}}}{C^{\frac{1}{3}} D^3}\), will be:
| 1. | \(10\%\) | 2. | \(\dfrac{3}{13}\%\) |
| 3. | \(16\%\) | 4. | \(-10\%\) |