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Q)

An $emf$ is produced in a coil, which is not connected to an external voltage source. This can be due to
(a) The coil being in a time varying magnetic field
(b) The coil moving in a time varying magnetic field
(c) The coil moving in a constant magnetic field
(d) The coil is stationary is externally spatially varying magnetic field, which does not change with time.

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A)
An emf is produced in a coil without connecting it to an external voltage source only when amount of magnetic flux linked with the coil changing in time.
Hence the correct option is a, b and c
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