Calculating Wave Speed in a String: Formula and Step-by-Step Guide

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To calculate the speed of a transverse wave in a string, use the formula speed = wavelength times frequency. Given a period of 0.075 seconds, the frequency can be found as the inverse of the period. The distance between two adjacent antinodes, 0.15 meters, represents half the wavelength, so the full wavelength is 0.30 meters. By multiplying the wavelength by the frequency, the wave speed can be accurately determined. This method provides a clear step-by-step approach to calculating wave speed in a string.
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I am trying to find the speed of propagation of a transverse wave in a string.

Speed = wavelength times frequency.

I have the period, .075s, so 1 over T is the frequency.
I have the distance between 2 ADJACENT antinodes, which is .15m (Is this the wavelength?)

Could someone work out the speed so I can double check?
 
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Two adjacent antinodes are half a wavelength apart.
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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