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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A spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball (\(v\)) as a function of time (\(t\)) is:
           
1. \(D\) 
2. \(A\) 
3. \(B\) 
4. \(C\)
Subtopic:  Viscosity |
 71%
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Let \(T_1\) and \(T_2\) be the energy of an electron in the first and second excited states of hydrogen atom, respectively. According to Bohr's model of an atom, the ratio \(T_1:T_2\) is:
1. \(9:4\)
2. \(1:4\)
3. \(4:1\)
4. \(4:9\) 
Subtopic:  Bohr's Model of Atom |
 64%
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The graph which shows the variation of de Broglie wavelength \((\lambda)\) of a particle and its associated momentum \((p)\) is:
 
1. 2.
3. 4.
Subtopic:  De-broglie Wavelength |
 83%
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Two pendulums of length \(121\) cm and \(100\) cm start vibrating in phase. At some instant, the two are at their mean position in the same phase. The minimum number of vibrations of the shorter pendulum after which the two are again in phase at the mean position is: 
1. \(8\) 2. \(11\)
3. \(9\) 4. \(10\)
Subtopic:  Angular SHM |
 67%
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