Physics-
General
Easy
Question
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
![](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/521409/1/3852382/Picture7189.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/521409/1/3852383/Picture7190.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/521409/1/3852384/Picture7193.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/521409/1/3852385/Picture7196.png)
The correct answer is: ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/521409/1/3852383/Picture7190.png)
As the magnet moves towards the coil, the magnetic flux increases (nonlinearly). Also there is a change in polarity of induced emf when the magnet passes on to the other side of the coil
Related Questions to study
physics-
The graph Shows the variation in magnetic flux
with time through a coil. Which of the statements given below is not correct
![](data:image/png;base64,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)
The graph Shows the variation in magnetic flux
with time through a coil. Which of the statements given below is not correct
![](data:image/png;base64,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)
physics-General
physics-
A simple pendulum with bob of mass m and conducting wire of length L swings under gravity through an angle
. The earth’s magnetic field component in the direction perpendicular to swing is B. Maximum potential difference induced across the pendulum is
![](data:image/png;base64,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)
A simple pendulum with bob of mass m and conducting wire of length L swings under gravity through an angle
. The earth’s magnetic field component in the direction perpendicular to swing is B. Maximum potential difference induced across the pendulum is
![](data:image/png;base64,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)
physics-General
physics-
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
then
is
![](data:image/png;base64,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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
then
is
![](data:image/png;base64,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)
physics-General
physics-
The figure shows three circuits with identical batteries, inductors, and resistors. Rank the circuits according to the current through the battery (i) just after the switch is closed and (ii) a long time later, greatest first
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)
The figure shows three circuits with identical batteries, inductors, and resistors. Rank the circuits according to the current through the battery (i) just after the switch is closed and (ii) a long time later, greatest first
![](data:image/png;base64,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)
physics-General
physics-
What is the mutual inductance of a two-loop system as shown with centre separation l
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)
What is the mutual inductance of a two-loop system as shown with centre separation l
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)
physics-General
Maths-
Assertion (A) : The length of latus rectum in fig is 24/5.
![](data:image/png;base64,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)
Reason (R) : If l 1 and l2are length of segments of a focal chord of a parabola, then its latus rectum is
.
Assertion (A) : The length of latus rectum in fig is 24/5.
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)
Reason (R) : If l 1 and l2are length of segments of a focal chord of a parabola, then its latus rectum is
.
Maths-General
maths-
Assertion: Through (
+ 1) there can not the more than one normal to the parabola y2 = 4x if +
< 2.
Reason: The point (
+ 1) lie out side the parabola for all ![lambda](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAANCAYAAACQN/8FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAHZJREFUeNpjYEAAJiC+BcS2DEQAFiBeCsTCxCj2AOJaYhSCnHCOgUhwlBi3ZgBxCRDPxadIBYg3QNkHgZgHl9t2A7E4lF8NxGnYFDYDcSQS3xiID6MrsgTiNVg030cOU5A7TuII5C5k6xcCcRAOz+kB8XEGUgAA3BsQpUbmebIAAABPdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPiYjeDNCQjs8L21pPjwvbWF0aD6tkH33AAAAAElFTkSuQmCC)
1.
Assertion: Through (
+ 1) there can not the more than one normal to the parabola y2 = 4x if +
< 2.
Reason: The point (
+ 1) lie out side the parabola for all ![lambda](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAANCAYAAACQN/8FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAHZJREFUeNpjYEAAJiC+BcS2DEQAFiBeCsTCxCj2AOJaYhSCnHCOgUhwlBi3ZgBxCRDPxadIBYg3QNkHgZgHl9t2A7E4lF8NxGnYFDYDcSQS3xiID6MrsgTiNVg030cOU5A7TuII5C5k6xcCcRAOz+kB8XEGUgAA3BsQpUbmebIAAABPdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPiYjeDNCQjs8L21pPjwvbWF0aD6tkH33AAAAAElFTkSuQmCC)
1.
maths-General
maths-
The point of intersection of the tangents at the ends of the latus rectum of the parabola y2 = 4x is .
The point of intersection of the tangents at the ends of the latus rectum of the parabola y2 = 4x is .
maths-General
maths-
If a ≠ 0 and the line 2bx + 3cy + 4d = 0 passes through the points of intersection of the parabolas
= 4ax and
= 4ay, then-
If a ≠ 0 and the line 2bx + 3cy + 4d = 0 passes through the points of intersection of the parabolas
= 4ax and
= 4ay, then-
maths-General
maths-
If M is the foot of perpendicular from a point P of a parabola y2 = 4ax to its directrix and SPM is an equilateral triangle, where S is the focus. Then SP equal to-
If M is the foot of perpendicular from a point P of a parabola y2 = 4ax to its directrix and SPM is an equilateral triangle, where S is the focus. Then SP equal to-
maths-General
physics-
A conducting rod AC of length 4l is rotated about a point O in a uniform magnetic field
directed into the paper. AO = l and OC = 3l. Then
![](data:image/png;base64,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)
A conducting rod AC of length 4l is rotated about a point O in a uniform magnetic field
directed into the paper. AO = l and OC = 3l. Then
![](data:image/png;base64,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)
physics-General
physics-
A wire cd of length l and mass m is sliding without friction on conducting rails ax and by as shown. The vertical rails are connected to each other with a resistance R between a and b. A uniform magnetic field B is applied perpendicular to the plane abcd such that cd moves with a constant velocity of
![](data:image/png;base64,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)
A wire cd of length l and mass m is sliding without friction on conducting rails ax and by as shown. The vertical rails are connected to each other with a resistance R between a and b. A uniform magnetic field B is applied perpendicular to the plane abcd such that cd moves with a constant velocity of
![](data:image/png;base64,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)
physics-General
physics-
A rectangular loop with a sliding connector of length l = 1.0 m is situated in a uniform magnetic field B = 2T perpendicular to the plane of loop. Resistance of connector is r = 2
. Two resistance of 6
and 3
are connected as shown in figure. The external force required to keep the connector moving with a constant velocity v = 2m/s is
![](data:image/png;base64,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)
A rectangular loop with a sliding connector of length l = 1.0 m is situated in a uniform magnetic field B = 2T perpendicular to the plane of loop. Resistance of connector is r = 2
. Two resistance of 6
and 3
are connected as shown in figure. The external force required to keep the connector moving with a constant velocity v = 2m/s is
![](data:image/png;base64,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)
physics-General
physics-
Plane figures made of thin wires of resistance R = 50 milli ohm/metre are located in a uniform magnetic field perpendicular into the plane of the figures and which decrease at the rate dB/dt = 0.1 m T/s. Then currents in the inner and outer boundary are. (The inner radius a = 10 cm and outer radius b = 20 cm)
![](data:image/png;base64,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)
Plane figures made of thin wires of resistance R = 50 milli ohm/metre are located in a uniform magnetic field perpendicular into the plane of the figures and which decrease at the rate dB/dt = 0.1 m T/s. Then currents in the inner and outer boundary are. (The inner radius a = 10 cm and outer radius b = 20 cm)
![](data:image/png;base64,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)
physics-General
physics-
A highly conducting ring of radius R is perpendicular to and concentric with the axis of a long solenoid as shown in fig. The ring has a narrow gap of width d in its circumference. The solenoid has cross sectional area A and a uniform internal field of magnitude B0. Now beginning at t = 0, the solenoid current is steadily increased to so that the field magnitude at any time t is given by B(t) = B0 + at where
. Assuming that no charge can flow across the gap, the end of ring which has excess of positive charge and the magnitude of induced e.m.f. in the ring are respectively
![](data:image/png;base64,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)
A highly conducting ring of radius R is perpendicular to and concentric with the axis of a long solenoid as shown in fig. The ring has a narrow gap of width d in its circumference. The solenoid has cross sectional area A and a uniform internal field of magnitude B0. Now beginning at t = 0, the solenoid current is steadily increased to so that the field magnitude at any time t is given by B(t) = B0 + at where
. Assuming that no charge can flow across the gap, the end of ring which has excess of positive charge and the magnitude of induced e.m.f. in the ring are respectively
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)
physics-General