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Emf in a circular loop whose radius shrinks or grows at a constant rate in a uniform field

The same question, asked 2 times: 29 Jan 2023*, 12 Apr 2023. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    29 Jan 2023

    25
    A certain elastic conducting material is stretched into a circular loop. It is placed with its plane perpendicular to a uniform magnetic field B=0.8 TB = 0.8\text{ }T. When released the radius of the loop starts shrinking at a constant rate of 2cms−12cms^{- 1}. The induced emf in the loop at an instant when the radius of the loop is 10 cm10\text{ }cm will be ____\_\_\_\_ mV. (Given g=10 ms−2g = 10{\text{ }ms}^{- 2} )

  2. Question 2

    12 Apr 2023

    24
    A conducting circular loop is placed in a uniform magnetic field of 0.4 T0.4\text{ }T with its plane perpendicular to the field. Somehow, the radius of the loop starts expanding at a constant rate of 1 mm/s1\text{ }mm/s. The magnitude of induced emf in the loop at an instant when the radius of the loop is 2 cm2\text{ }cm will be____ μV\mu V.