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Q. 59

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 453

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Short Answer

A wire is made by welding together two metals having different densities. FIGURE P16.59 shows a 2.00-m-long section of wire centered on the junction, but the wire extends much farther in both directions. The wire is placed under 2250 N tension, then a 1500 Hz wave with an amplitude of 3.00 mm is sent down the wire. How many wavelengths (complete cycles) of the wave are in this 2.00-m-long section of the wire?

There are 8 wavelengths of the wave in the section of of the wire.

See the step by step solution

Step by Step Solution

Step 1: Given data

Wave frequency in both of the sections:

Tension force applied on the wire,

Linear density for the left part of wire,

Linear density for the right part of the wire,

Step 2: Determination of wavelength (left part)

The speed of the wave in the left section of wire,

Wavelength for this section,

Thus the number of cycles in the left part,

Step 3: Determination of wavelength (right part)

The speed of the wave in the right section of wire,

Wavelength for this section,

Number of cycles for this section,

Step 4: Determination of complete cycle

For the long section of the wire, a total of complete cycles are present. So wavelengths of the wave are there.

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