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a wire of length L and resistance R is now drawn out by pulling such that its ne

ID: 1439042 • Letter: A

Question

a wire of length L and resistance R is now drawn out by pulling such that its new resistance is 15R. what is its new length (assume density remains constant). A. 1.50 L B. 6.67 x 10^-1L C. 2.25 L D. 3.87 L E. 2.5 x 10-1L a wire of length L and resistance R is now drawn out by pulling such that its new resistance is 15R. what is its new length (assume density remains constant). A. 1.50 L B. 6.67 x 10^-1L C. 2.25 L D. 3.87 L E. 2.5 x 10-1L A. 1.50 L B. 6.67 x 10^-1L C. 2.25 L D. 3.87 L E. 2.5 x 10-1L

Explanation / Answer

R = rho*L/A

R1 = rho*L1/A1 = R = rho*L/A1

R2 = rho*L2/A2 = 15R = rho*L'/A2

R2 = 15R2

here volume remain constant

15R = rho * LL'/(A/L')

15R = rho*L'^2*L/A

rho*L/A = R

L' = sqrt(15) =

L' = 3.87 m