If two wires of same length l and area of the cross-section A with Young modulus Y and 2 Y connect in series and one end is fixed on roof and another end with mass m make simple harmonic motion, then the time period is

Question

If two wires of same length l and area of the cross-section A with Young modulus Y and 2 Y connect in series and one end is fixed on roof and another end with mass m make simple harmonic motion, then the time period is, 2 π m l Y A, 2 π m l 3 Y A, 2 π 3 m l 2 Y A, 2 π m l 2 Y A

MARKS App · Accepted Answer

The force constant of wires are k 1 = Y A l , k 2 = 2 Y A l In series k = k 1 k 2 k 1 + k 2 = 2 3 Y A l T = 2 π 3 m l 2 Y A

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