Given below are two statements:

Statement I: Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element \(I(dl)\) of a current-carrying conductor only.
Statement II: Biot-Savart's law is analogous to Coulomb's inverse square law of charge \(q,\) with the former being related to the field produced by a scalar source, \(Idl\) while the latter being produced by a vector source, \(q.\)

 
1. Statement I is false but Statement II is true.
2. Both Statement I and Statement II are true.
3. Both Statement I and Statement II are false.
4. Statement I is true but Statement II is false.

Subtopic:  Biot-Savart Law |
 52%
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A square loop of side \(1\) m and resistance \(1\) \(\Omega\) is placed in a magnetic field of \(0.5\) T. If the plane of the loop is perpendicular to the direction of the magnetic field, the magnetic flux through the loop is:
1. \(0\) 2. \(2\) weber
3. \(0.5\) weber 4. \(1\) weber
Subtopic:  Magnetic Flux |
 66%
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An electric lift with a maximum load of \(2000\) kg (lift+passengers) is moving up with a constant speed of \(1.5\) ms–1. The frictional force opposing the motion is \(3000\) N. The minimum power delivered by the motor to the lift in watts is: (Take \(g=10\) ms–2)
1. \(23500\) 2. \(23000\)
3. \(20000\) 4. \(34500\)
Subtopic:  Power |
 63%
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A light ray falls on a glass surface of refractive index \(\sqrt{3}\), at an angle of \(60^\circ.\) The angle between the refracted and reflected rays would be:
1. \(120^\circ\) 2. \(30^\circ\)
3. \(60^\circ\) 4. \(90^\circ\)
Subtopic:  Refraction at Plane Surface |
 60%
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A copper wire of length \(10\) m and radius \(\left({10^{-2}/\sqrt{\pi}}\right)\) m has an electrical resistance of \(10~\Omega.\) The current density in the wire for an electric field strength of \(10\) (V/m) is: 
1. \(10^{5}\) A/m2
2. \(10^{4}\) A/m2
3. \(10^{6}\) A/m2
4. \(10^{-5}\) A/m2
Subtopic:  Current & Current Density |
 66%
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In the given circuits (a), (b) and (c), the potential drop across the two \({\mathrm{p\text-n}}\) junctions are equal in: 
        
1. both circuits (a) and (c)
2. circuit (a) only
3. circuit (b) only
4. circuit (c) only
Subtopic:  PN junction |
 65%
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If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is: 
1. \(1:2\)
2. \(1:1\)
3. \(\sqrt{2}:1\)
4. \(1:\sqrt{2}\)
Subtopic:  Travelling Wave on String |
 69%
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The ratio of the radius of gyration of a thin uniform disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter is: 
1. \(1:\sqrt{2}\) 2. \(2:1\)
3. \(\sqrt{2}:1\) 4. \(4:1\)
Subtopic:  Moment of Inertia |
 66%
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In Young's double-slit experiment, a student observes \(8\) fringes in a certain segment of the screen when a monochromatic light of \(600\) nm wavelength is used. If the wavelength of light is changed to \(400\) nm, then the number of fringes he would observe in the same region of the screen is: 
1. \(12\) 
2. \(6\) 
3. \(8\) 
4. \(9\)
Subtopic:  Young's Double Slit Experiment |
 75%
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The angle between the electric lines of force and the equipotential surface is: 
1. \(180^\circ\)
2. \(0^\circ\)
3. \(45^\circ\)
4. \(90^\circ\)
Subtopic:  Equipotential Surfaces |
 81%
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