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Q.

A body enters an MRI machine in Question Image. If the magnetic field is Question Image and circumference of the MRI machine is Question Image then find out emf induced in the body.


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is C.

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Detailed Solution

Concept: Get the radius with the help of circumference then calculate the area and then get the change in flux since change in flux with respect to time is the emf induced.
Formula used Question Image.
The circle's specified circumference is Question Image.
If the radius is set to r, then the formula for the circumference is:
Question ImageQuestion ImageConsequently, the circular magnetic field's area is Question ImageWe know that flux Question Image magnetic field Question Image Area
Initial flux Question Image (when the body did not entered)
Final flux Question Image weber
Therefore the change in flux is Question Image weber
The emf induced Question Image volt or Question Image.
Hence, the correct option is 3.
 
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