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Updated on : 2022-09-05

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Correct option is C)

$∴$ Required area $=16cm×4cm−21 ×4cm×2cm−21 ×4cm×2cm$

$=64cm_{2}−4cm_{2}−4cm_{2}=56cm_{2}$

Magnetic flux passing through an area is given by

$ϕ=∫B.dA=∫BdAcosθ$.

Here, $θ=0$ and $B$ is constant throughout the area.

$∴ϕ_{initial}=B_{initial}.A=1000Gauss×56cm_{2}$

$=56000gausscm_{2}$

$=5.6×10_{−4}Wb$

$[1Gauss=10_{−4}Tand1cm_{2}=10_{−4}m_{2}∴1Gausscm_{2}=10_{−8}Tm_{2}=10_{−8}Wb ]$

Also, $ϕ_{final}=B_{final}.A=500Gauss×56cm_{2}$

$=28000Gausscm_{2}=2.8×10_{−4}Wb$

Since the flux changes linearly,

$∈=∣∣∣∣∣ dtdϕ ∣∣∣∣∣ =Δt∣ϕ_{final}−ϕ_{initial}∣ =5(5.6−2.8)×10_{−4} V$

$=56×10_{−6}V=56μv$

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