A metal disc of radius a rotates with a constant angular velocity ω about its axis. The potential difference between the center and the rim of the disc is (m = mass of electron, e = charge on electron)
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a
mω2a2e
b
12mω2a2e
c
eω2a22m
d
eω2a2m
answer is B.
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Detailed Solution
Let E be the electric field at a distance r from the centre of the disc. TheneE=mω2ror E=mω2re∴P.D.=∫r-0r=aEdr=∫0amω2redr=mω2a22ex