If R1 and R2 are the resistance of statements of a 400 W and 200 W lamp designed to
operate at same voltage, then:
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p = v^2 / r
let p1 = 400w
let p2 = 200w
p1 / p2 = 2
400 / 200 = 2
as voltage is same
so p1 / p2 = r1 / r2
2 = r2 / r1
r2 = 2r1
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