Given, I=I0sin‌ωt Magnetic field inside the solenoid, B=µ0NI ⇒‌‌B=µ0NI0sin‌ωt .....(i) When side of square loop be l, then ‌4l=2πR ⇒l=‌
Ï€R
2
Area of square loop, A=l2 =(‌
Ï€R
2
)2=‌
Ï€2R2
4
Magnetic flux linked with square loop, φ=BA =‌µ0NI0sin‌ωt×‌
Ï€2R2
4
φ‌=‌
µ0π2R2NI0sin‌ωt
4
Induced emf in the square coil, e=‌
dφ
dt
‌=‌
d
dt
‌
µ0π2R2NI0sin‌ωt
4
‌=‌
µ0π2R2NI0ω‌cos‌ω‌t
4
‌=2.46µ0R2NI0ω‌cos‌ω‌t (∵‌
Ï€2
4
=246) Which is closest to the value given in option (c).