A conducting rod AC of length 4l is rotated about a point O in a uniform magnetic field B directed into the paper. AO = l and OC = 3l. Then

(1) VAVO=Bωl22

(2) VOVC=72Bωl2

(3) VAVC=4Bωl2

(4) VCVO=92Bωl2

Subtopic:  Motional emf |
 60%
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The figure shows three circuits with identical batteries, inductors, and resistors. Rank the circuits according to the current, in descending order, through the battery (i) just after the switch is closed and (ii) a long time later:

1. \((i) i_2>i_3>i_1\left(i_1=0\right) (ii) i_2>i_3>i_1\)
2. \((i) i_2<i_3<i_1\left(i_1 \neq 0\right) (ii) i_2>i_3>i_1\)
3. \((i) i_2=i_3=i_1\left(i_1=0\right)\left(\right. (ii) i_2<i_3<i_1\)
4. \((i) i_2=i_3>i_1\left(i_1 \neq 0\right) (ii) i_2>i_3>i_1\)
Subtopic:  LR circuit |
 71%
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The network shown in the figure is a part of a complete circuit. If at a certain instant the current i is 5 A and is decreasing at the rate of 103 A/s then VB – VA is

(1) 5 V

(2) 10 V

(3) 15 V

(4) 20 V

Subtopic:  LR circuit |
 67%
From NCERT
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A simple pendulum with bob of mass m and conducting wire of length L swings under gravity through an angle 2θ. The earth’s magnetic field component in the direction perpendicular to swing is B. Maximum potential difference induced across the pendulum is 

1. 2BLsinθ2(gL)1/2

2. BLsinθ2(gL)12

3. BLsinθ2(gL)3/2

4. BLsinθ2(gL)2

Subtopic:  Motional emf |
From NCERT
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The variation of induced emf (E) with time (t) in a coil if a short bar magnet is moved along its axis with a constant velocity is best represented as:
    

1. 2.  
3. 4.
Subtopic:  Faraday's Law & Lenz Law |
 67%
From NCERT
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A loop abcd is moved across the pole pieces of a magnet as shown in fig. with a constant speed v. When the edge ab of the loop enters the pole pieces at time t = 0 sec. , which one of the following graphs represents correctly the induced emf in the coil?

(1)

(2)

(3)

(4)

Subtopic:  Faraday's Law & Lenz Law |
 72%
From NCERT
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Some magnetic flux is changed from a coil of resistance 10 ohm. As a result an induced current is developed in it, which varies with time as shown in figure. The magnitude of change in flux through the coil in webers is

(1) 2

(2) 4

(3) 6

(4) None of these

Subtopic:  Faraday's Law & Lenz Law |
 68%
From NCERT
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The graph gives the magnitude B(t) of a uniform magnetic field that exists throughout a conducting loop, perpendicular to the plane of the loop. Rank the five regions of the graph according to the magnitude of the emf induced in the loop, greatest first

(1) b > (d = e) < (a = c)

(2) b > (d = e) > (a = c)

(3) b < d < e < c < a

(4) b > (a = c) > (d = e)

Subtopic:  Faraday's Law & Lenz Law |
 64%
From NCERT
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Figure (i) shows a conducting loop being pulled out of a magnetic field with a speed v. Which of the four plots shown in figure (ii) may represent the power delivered by the pulling agent as a function of the speed v

(1) a

(2) b

(3) c

(4) d

Subtopic:  Motional emf |
 57%
From NCERT
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A rectangular loop is being pulled at a constant speed v, through a region of certain thickness d, in which a uniform magnetic field B is set up. The graph between position x of the right-hand edge of the loop and the induced emf E will be-

(1)  (2)

(3)  (4)

Subtopic:  Motional emf |
 62%
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