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is a equation of displacement of a stretched string. y is in cm and t in sec.
If Bulk Modulus of medium is B = 4 N/m2 then write the equation of pressure variation and also find pressure amplitude.
My question is that - In case of longitudinal waves the pressure variation can be found as shown in HCV - 1 pg 330.
Now does the pressure vary in case of transverse waves ??
Please solve the above problem (given in FIITJEE AIEEE++ correspondence course material) and please please explain your steps..
I'll be grateful..
Comments (23)
I asked my teacher & he said dat the equation of pressure variation is 90 degree out of phase with displacement equn. Also , that it is there in resnnik to find u.
If u ask dis type of tough Q which will never come in aieee, u won't get a chance ---1 seat vacant for us . I shall give party,
Actually didn't solve the prob like this...but I know the theory of pressure nodes & antinodes in stationary waves only...so taking it into considaration I think u hav to contact with ur teacher..If u find the answer then plz tell me..O.K ..bye
Since y is in cms, so the displacement amplitude 4 is also in cms. (USING DIMENSIONAL ANALYSIS)
The pressure and displacement terms are out of phase by 90 degress with each other.
So, the equation of the pressure wave is
So, the equation becomes
Hope you can calculate the values of w and v by comparing the given equation with the standard equation of a wave.
.plz do check out. rest of the eqn is correct.
IF you see the derivation of pressure wave from displacement wave , then you would realize not much difference between longitudinal and transverse nature of wave as all it matters is displacement from mean pos, be it in longitudinal direction or transverse.
no there is some mistke in tyhe problem .in case of tranverse it ios the tension which is responsible for the propogation of the wave n not the pressure difference .as if u consider a wave propogating on a string under tension in vacuum where does the qstn of pressure comes.whereas in case of longitudanal waves it is the pressure changes which causes the vibration to propogate due to teh bulk propertries of the matter.i dont agree with the formatting of the question.but assuming it as longitudanal wave ashish kumar ans is right.
There can be pressure due to particles in string also. There is nothing wrong about disussing pressure even in "string wave" . As I said , the pressure wave is derived using displacement of particles from mean pos, which happens both in transverse and logitudinal.
@conjurer..
please show the derivation of pressure wave from 'transverse' displacement wave..
..the derivation of pressure wave from longitudinal displacement wave is shown in HCV - 1 pg 330.
savvej understood my question best... once the derivation of pressure wave from 'transverse' displacement wave is done.. solving the question would be piece of cake..
@conjurer..
please show the derivation of pressure wave from 'transverse' displacement wave..
..the derivation of pressure wave from longitudinal displacement wave is shown in HCV - 1 pg 330.
savvej understood my question best... once the derivation of pressure wave from 'transverse' displacement wave is done.. solving the question would be piece of cake..
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