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Statement I: Induced emf in a conductor ...

Statement I: Induced emf in a conductor is proportional to the time rate of change of associated magnetic flux.
Statement II: In case of electromagnetic induction transfer of energy takes place in a manner so that total energy is conserved.

A

Statement I is true, statement II is true, statement II is a correct explanation for statement I

B

Statement I true, statement II is true, statement II is not a correct explanation for statement I

C

Statement I is true, statement II is false

D

Statement I is false, statement II is true

Text Solution

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The correct Answer is:
B
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Induced emf is directly proportional to the rate of change with time of magnetic_______linked with a coil.

Statement I: A closed solenoid is placed in an external magnetic field. Both of the magnetic field and axis of the solenoid are directed along z-axis. No electromotive force will be induced if the solenoid is rotated along its own axis. Statement II: Electromagnetic induction in a conducting coil takes place only when the magnetic flux linked with the coil changes with time.

Knowledge Check

  • Statement I : In an electrical circuit the algebriac sum of currents meeting at a point is zero . Statement II : In case of flow of current in electrical circuit total energy is conserved .

    A
    Statement I is true ,statement II is true , statement II is a correct explaination for statement I.
    B
    Statement I is true , statement II is true , statement II is not a correct explanation for statement I.
    C
    Statement I is true , statement II is false .
    D
    Statement I is false , statement II is true .

  • Statement I: if work done by conservative force is negative then potential energy associated with that force should increase. Statement II: This is from the reaction Delta u =- W. Here Delta u is change in potential energy and W is work done by conservative force.

    A
    Statement I is true, statement II is true, statement II is a correct explanation for statement I.
    B
    Statement I is true , statement II is true, statement II is not a correct explanation for statement I.
    C
    Statement I is true, statement II is false.
    D
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  • If the current through a solenoid changes with time electromagnetic induction takes place in the solenoid. This is known as self-induction. In general, for a current I, the induced emf in the coil is e=-L(dI)/(dt) . L is the self-inductance of the solenoid. On the other hand, such change in the current in a solenoid can produce electromagnetic induction in another adjacent solenoid. The induced emf in the other solenoid e=-M(dI)/(dt) , M is called the mutual inductance of the solenoids. If L_(1) and L_(2) are the self-inductance of the adjacent coils then their mutual inductance M=ksqrt(L_(1)L_(2)) . If the magnetic flux produced by the current in one coil is totally linked with the other coil then k = 1. If the induced emf in a coil totally linked with the coil in question (II) be 20muV , the mutual inductance (in H) of the two coils is

    A
    0.002
    B
    0.02
    C
    0.2
    D
    2

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    This question has Statement 1 and Statement II. Of the four choices given after the Statements, choose the one that best describes the two Statements. (1) Statement-l is true, Statement-II is true, Statement-Il is a correct explanation of Statement-I (2) Statement -I is true, Statement-Il is true, Statement-lI is not a correct explanation of Statement-I. (3) Statement-I is true, Statement-II is false. (4) Statement -l is false, Statement-Il is true. (5) If both Statement-I and Statement - II are false. Statement - I : In case of projectile motion, the magnitude of rate of change of velocity is variable. Statement - II : In projectile motion, the magnitude of velocity first decreases and then increases during the motion.

    If the current through a solenoid changes with time electromagnetic induction takes place in the solenoid. This is known as self-induction. In general, for a current I, the induced emf in the coil is e=-L(dI)/(dt) . L is the self-inductance of the solenoid. On the other hand, such change in the current in a solenoid can produce electromagnetic induction in another adjacent solenoid. The induced emf in the other solenoid e=-M(dI)/(dt) , M is called the mutual inductance of the solenoids. If L_(1) and L_(2) are the self-inductance of the adjacent coils then their mutual inductance M=ksqrt(L_(1)L_(2)) . If the magnetic flux produced by the current in one coil is totally linked with the other coil then k = 1.

    If the current through a solenoid changes with time electromagnetic induction takes place in the solenoid. This is known as self-induction. In general, for a current I, the induced emf in the coil is e=-L(dI)/(dt) . L is the self-inductance of the solenoid. On the other hand, such change in the current in a solenoid can produce electromagnetic induction in another adjacent solenoid. The induced emf in the other solenoid e=-M(dI)/(dt) , M is called the mutual inductance of the solenoids. If L_(1) and L_(2) are the self-inductance of the adjacent coils then their mutual inductance M=ksqrt(L_(1)L_(2)) . If the magnetic flux produced by the current in one coil is totally linked with the other coil then k = 1. The self-inductance (in H) of a coil when the induced emf is 50muV for a change of 1 mA. s^(-1) in current through it, is

    If the current through a solenoid changes with time electromagnetic induction takes place in the solenoid. This is known as self-induction. In general, for a current I, the induced emf in the coil is e=-L(dI)/(dt) . L is the self-inductance of the solenoid. On the other hand, such change in the current in a solenoid can produce electromagnetic induction in another adjacent solenoid. The induced emf in the other solenoid e=-M(dI)/(dt) , M is called the mutual inductance of the solenoids. If L_(1) and L_(2) are the self-inductance of the adjacent coils then their mutual inductance M=ksqrt(L_(1)L_(2)) . If the magnetic flux produced by the current in one coil is totally linked with the other coil then k = 1. The negative sign in the expression of induced emf is explained by

    Statement I: The binding energy of a satellite does not depend upon the mass of the satellite. Statement II: Binding energy is the negative value of total energy of satellite .

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