Two rods are made of brass and have the same length. The cross section of one of

Question

Two rods are made of brass and have the same length. The cross section of one of the rods is circular, with a diameter of 2a. The other rod has a square cross section, where each side of the square is a length 2a. One end of the rods is attached to an immovable fixture which allows the rods to hang vertically. To the free end of each rod, a block of mass m is attached. Which rod, if either, will stretch more after the block is attached?

A. The one with the circular cross section will stretch more.

B. The one with the square cross section will stretch more.

C. Both will stretch by the same amount.

D. One cannot say which will stretch more without knowing the numerical values of a and m.

Explanation / Answer

both wires are Brass and have the same length and same mass is attached so

the elongation is inversly proportional to area of cross section

fro circular A = pi * a2

for square A = 4 * a2

so the answer is

A. The one with the circular cross section will stretch more

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