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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: waves
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[Post New]14 Jan 2008 10:07:03 IST
    Subject: waves
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flowers_rsss (170)

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1) An aluminium wire of length 60cm is joined to a steel wire of length 80cm and stretched between two fixed supports.The tension produced is 40N.The cross sectional area of the steel wire is 1.0mm^2 and that of aluminium wire is  3mm^2.What could be the minimum frequency of the tuning fork which can produce standing  waves in the system with the joint as a node? the density of aluminium is 2.6g/cc and that of steel is 7.8 g/cc.
plz solve it!!
 
    
[Post New]14 Jan 2008 10:55:59 IST
    Subject: waves
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flowers_rsss (170)

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plz any one solve it!!
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[Post New]14 Jan 2008 13:18:17 IST
    Subject: Re:waves
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konichiwa2x (2278)

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60cm
80cm

For standing waves to be produced, the length of the string between one end to the joint must be an integral multiple of . The frequency of the wave produced in each wire should be the same.

Therefore,


The mass per unit length of the wire = density of the wire x area of cross section.
Make sure you convert all the quantities into the same units.
You'll see that

So,  

        

 
Take

Hence, required frequency is =
Plug in the values and you get , frequency = 179.025 hz
Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm

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[Post New]14 Jan 2008 15:28:20 IST
    Subject: Re:waves
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konichiwa2x (2278)

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is the answer correct?
Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm

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[Post New]14 Jan 2008 19:35:23 IST
    Subject: waves
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Mr.IITIAN007 (2990)

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yeah I think is correct .
Ken
From: UNITED STATES, Green Bay, Wisconsin
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