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A metallic wire of uniform area of cross section has a resistance R, resistivity ρ and power rating P at V volts. The wire is uniformly stretched to r
Question

A metallic wire of uniform area of cross section has a resistance R, resistivity ρ and power rating P at V volts. The wire is uniformly stretched to reduce the radius to half the original radius. The values of resistance, resistivity and power rating at V volts are now denoted by R', ρ' and P' respectively. The corresponding values are correctly related as ___________.
Fill in the blank with the correct answer from the options given below.

A.

ρ’=2 ρ, R’=2R, P’=2P

B.

ρ’=(1/2) ρ, R’=(1/2) R, P’=(1/2) P

C.

ρ’= ρ, R’=16R, P’=(1/16) P

D.

ρ’= ρ, R’=(1/16) R, P’=16P

Correct option is C

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