HSC Science (Computer Science) 12th Board ExamMaharashtra State Board
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A Sonometer Wire is in Unison with a Tuning Fork of Frequency 125 Hz When It is Stretched by a Weight. When the Weight is Completely Immersed in Water, 8 Beats Are Heard per Second. Find the Specific Gravity of the Material of the Weight. - HSC Science (Computer Science) 12th Board Exam - Physics

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Question

A sonometer wire is in unison with a tuning fork of frequency 125 Hz when it is stretched by a weight. When the weight is completely immersed in water, 8 beats are heard per second. Find the specific gravity of the material of the weight.

Solution

Given:-

When wire is stretched by a weight hanging vertically, n1 = 125 Hz,

Let frequency of wire when the weight is immersed in water producing 8 beats per second = n2

 n2 = n1 - 8 = 125 - 8 = 117 Hz

To find: Specific gravity (ρ)

formula= `n_1/n_2=sqrt(rho/(rho-1))`

Calculation: From formula,

`125/117=sqrt(rho/(rho-1))`

`1.068=sqrt(rho/(rho-1))`

`therefore1.141=rho/(rho-1)`

`thereforerho=1.141(rho-1)`

`thereforerho=1.141rho-1.141`

`1.141=1.141rho-rho`

`thereforerho=1.141/0.141`

`thereforerho= antilog[log 1.141-log 0.141]`

       `=antilog[0.0573-bar1 .1461]`

       `=antilog[0.9112]`

`thereforerho=8.151`

The specific gravity of material of the weight is 8.151.

  Is there an error in this question or solution?

APPEARS IN

 2014-2015 (October) (with solutions)
Question 1.2 | 7.00 marks

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Solution A Sonometer Wire is in Unison with a Tuning Fork of Frequency 125 Hz When It is Stretched by a Weight. When the Weight is Completely Immersed in Water, 8 Beats Are Heard per Second. Find the Specific Gravity of the Material of the Weight. Concept: Formation of Beats.
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