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Q.

Two wires A and B of same material and same mass have radius 2r and r. If resistance of wire A is 34 Ω then resistance of B will be

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a

544 Ω

b

372 Ω

c

68 Ω

d

17 Ω

answer is A.

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Detailed Solution

R=ρ lA and mass m - volume (V) x density (Al) dSince wires have same material so ρ and d is same for both.Also they have same mass ⇒ Al = constant⇒l∝lA⇒ R1R2 = l1l2 ×  A2A1 = A2A12 =  r2r14⇒ 34R2 =r2r4⇒ R2 = 544 Ω
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