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A wire of mass 25 grams is stretched to a tension of 250 Newtons between two sol

ID: 1569233 • Letter: A

Question

A wire of mass 25 grams is stretched to a tension of 250 Newtons between two solid supports that are separated by a distance of one meter. What is the frequency of the second harmonic of the standing wave pattern that can exist on this wire?

A wire of mass 25 grams is stretched to a tension of 250 Newtons between two solid supports that are separated by a distance of one meter. What is the frequency of the second harmonic of the standing wave pattern that can exist on this wire? 50 Hz 100 Hz 250 Hz D. 500 Hz 1000 Hz

Explanation / Answer

L = 1 m , m = 25 gm , T = 250 N

linear mass density u = m/L = 0.025/1

n =2

f = (n/2L)(T/u)^0.5

f = (2/(2*1))(250/0.025)^0.5

f = 100 Hz

correct option is (B)

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