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A Wire of Length 80 Cm Has a Frequency of 256 Hz. Calculate the Length of a Similar Wire Under Similar Tension, Which Will Have Frequency 1024 Hz - ICSE Class 10 - Physics

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Question

A wire of length 80 cm has a frequency of 256 Hz. Calculate the length of a similar wire under similar tension, which will have frequency 1024 Hz

Solution

Wavelength λ = 80 cm = 0.8 m
Frequency f1 = 256 Hz
Frequency f2 = 1024 Hz
By the relation,
Speed = Wavelength x Frequency

→ v1 = f1 x λ1

→ v1= 0.8 x 256

Also, v2 = f2 x λ2

→ v= 1024 x λ2

Since v= v2

→ 0.8 x 256 = 1024 x λ2

λ = 0.2 m = 20 cm

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