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# Solution for A 36 cm long sonometer wire vibrates with frequency of 280 Hz in fundamental mode, when it is under tension of 24.5 N. Calculate linear density of the material of wire. - HSC Science (Computer Science) 12th Board Exam - Physics

ConceptApplications of Gauss’s Law

#### Question

A 36 cm long sonometer wire vibrates with frequency of 280 Hz in fundamental mode, when it is under tension of 24.5 N. Calculate linear density of the material of wire.

#### Solution

Given:

l = 0.36m

T = 24.5N

n = 280Hz

To find:

m = ?

Formula:

n = 1/(2l) sqrt(T/m)

Solution:

n = 1/(2l) sqrt(T/m)

2ln = sqrt(T/m)

4l^2n^2 = T/m

m = T/(4l^2n^2)

m = 24.5/(4 × 0.362 × 2802)

m = 24.5/40642.56

m = 6.028 × 10-4 kg/m

Is there an error in this question or solution?

#### APPEARS IN

2013-2014 (October) (with solutions)
Question 2.8 | 2.00 marks

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Solution A 36 cm long sonometer wire vibrates with frequency of 280 Hz in fundamental mode, when it is under tension of 24.5 N. Calculate linear density of the material of wire. Concept: Applications of Gauss’s Law.
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