A pair of parallel conducting rails lie at right angle to a uniform magnetic field of 2-0 T as shown in the fig- Two resistors 10 - and 5 - are to slide without friction along the rail- The distance between the conducting rails is 0-1 m- ThenA- Induced current -1-150 A directed clockwise if 10 - resistor is pulled to the right with speed 0-5 ms -1 and 5 - resistor is held fixedB- Induced current -1-300 A directed anti-clockwise if 10 - resistor is pulled to the right with speed 0-5 ms -1 and 5 - resistor is held fixedC- Induced current -1-1-0 A directed anti-clockwise if 5 - resistor is pulled to the left with speed 0-5 ms -1 and 10 - resistor is held at restD- Induced current -1-300 A directed clockwise if 5 - resistor is pulled to the left at speed 0-5 ms -1 and 10 - resistor is held at rest

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Question

A pair of parallel conducting rails lie at right angle to a uniform magnetic field of 2.0 T as shown in the fig. Two resistors 10 $Ω$ and 5 $Ω$ are to slide without friction along the rail. The distance between the conducting rails is 0.1 m. Then

Induced current =

directed clockwise if 10Ω resistor is pulled to the right with speed 0.5ms^-1 and 5Ω resistor is held fixed

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Induced current =

directed anti-clockwise if 10Ω resistor is pulled to the right with speed 0.5ms^-1 and 5Ω resistor is held fixed

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Induced current =

directed clockwise if 5Ω resistor is pulled to the left at speed 0.5ms^-1 and 10Ω resistor is held at rest

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Induced current =

directed anti-clockwise if 5Ω resistor is pulled to the left with speed 0.5ms^-1 and 10Ω resistor is held at rest

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Solution

The correct option is D Induced current = directed anti-clockwise if 5Ω resistor is pulled to the left with speed 0.5ms^-1 and 10Ω resistor is held at rest
When 5 $Ω$ resistor is pulled left at 0.5 m/sec induced emf., in the said resistor
$= e = v B l = 0.5 \times 2 \times 0.1 = 0.1$ V
Resistor $10 Ω$ is at rest so induced emf in it (e=vBl) be zero.
Now net emf., in the circuit=0.1V and Equivalent resistance of the circuit
R= $15 Ω$

Hence current $i = \frac{0.1}{15}$ amp= $\frac{1}{150}$ amp
And its direction will be anti-clockwise (according to Lenz's law)

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A pair of parallel conducting rails lie at right angle to a uniform magnetic field of 2.0 T as shown in the fig. Two resistors 10Ω and 5Ω are to slide without friction along the rail. The distance between the conducting rails is 0.1 m. Then

A pair of parallel conducting rails lie at right angle to a uniform magnetic field of 2.0 T as shown in the fig. Two resistors 10 $Ω$ and 5 $Ω$ are to slide without friction along the rail. The distance between the conducting rails is 0.1 m. Then