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Question

Question: Graph shows three waves that are separately sent along a string that is stretched under a certain te...

Graph shows three waves that are separately sent along a string that is stretched under a certain tension along an x-axis. If ω1, ω2 and ω3 are their angular frequencies respectively then:

A

ω1 = ω32

B

ω123

C

ω21 = ω3

D

ω1 = ω2 = ω3

Answer

ω1 = ω32

Explanation

Solution

As speed (=Tμ)\left( = \sqrt{\frac{T}{\mu}} \right) is same for all thus wave with maximum wavelength will have minimum angular frequency

(by v = nλ).

Also as λ1 = λ3 thus ω1 = ω3.