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If l is the length of the string stretched between its ends, the wavelength of different modes in Figure (1), (2) and (3) will be :

If l is the length of the string stretched between its ends, the wavelength of different modes in Figure (1), (2) and (3) will be : Sound, Concise Physics Solutions ICSE Class 10.
  1. 2l/2, 2l, 2l/3
  2. 2l/3, 2l/2, 2l
  3. 2l, 2l/2, 2l/3
  4. 2l, 21/3, 2l/2

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Answer

2l, 2l/2, 2l/3

Reason — In fig. 1, we know l = λ2\dfrac{λ}{2}. Hence, λ = 2l

In fig. 2, l = 2λ2\dfrac{2λ}{2} Hence, λ = 2l2\dfrac{2l}{2}

In fig. 3, l = 3λ2\dfrac{3λ}{2}. Hence, λ = 2l3\dfrac{2l}{3}

So, we get, the wavelength of different modes in Figure (1), (2) and (3) as 2l, 2l2\dfrac{2l}{2}, 2l3\dfrac{2l}{3}

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