Question

27.
A simple pendulum with bob of mass m and
conducting wire of length L swings under gravity
through an angle 20. The earth's magnetic field
component in the direction perpendicular to swing
is B. The maximum potential difference induced
across the pendulum is
(1) 2BL sin (9) VOL
(2) BL sina
(3) BL sin ) (94)12 (4) Busine (94)?
A uniform magnetic field exists in the region given​

Answer 1

As shown on the figure ,the emf induced across the pendulum is maximum when velocity of bob is maximum.

Now velocity of pendulum at mean position p is (v)

Applying energy conservation

2

1

mv

2

=mgh

v=

2gh

Now velocity of center of mass of bob and wire system is v

′

v

′

=

2

v

=

2

gh

now emf induced ε=v

′

BL

ε =BL

2

gh

Hopes helps you friend Mark my answer as brainliest.