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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: waves....do try this
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vish0001 (493)

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what is the amplitude of the plane progressive wave
 
y = 6 sin (x/3) cos ( 40  t )



    
balaze90 (173)

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i think its 3
whats the ans?



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joyfrancis (1504)

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3 is right.
Equation of a standing wave is
2A(sinkxcos(omega)t)

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vish0001 (493)

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ya......me too got the same answer.....
please try these also
1.  what is the distance between two particles on a plane progressive wave which has a wave velocity of 300 m /s , frequency = 500 Hz and the phase difference between the particles is 60 degrees

2. 8 guests are invited by a husband and wife......all the guests sit in a single line. what is the probability that the husband and wife sit with each other ?
 
my approach to this second one please see
 
if we take the husband and wife as a one unit
then total number of persons become 9
this means
total ways of arranging the people in the line = 9 P 9 X 2 !  { as the husband and
                                                                   wife can be permuted in 2 ! ways}
 
total ways of arranging = 10 !
 
=> probablity = 9 ! X 2 / 10 !
but this is not giving the correct answer
plese see



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vish0001 (493)

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yaar try this one na pls



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joyfrancis (1504)

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Hi.
Phase difference at any instant = k*d
k=2pi/lambda
lambda=v/f=3/5
so,
pi/3 = 10d*pi/3
d=0.1m

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vish0001 (493)

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thanks yaar

pls look at the second one also pls



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vish0001 (493)

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second one plss



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akku (1142)

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I think that ur ans to the second one is correct if "the guests sit along wid the husband and wife in a str line" But pls type the exact language of the question(u have used ...... in the first line) May be only 8 people r to be seated ! In that case PROBABILITY=7!2! 8C6*/10C8*8!
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vish0001 (493)

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ya think most probably there is a misprint
thanks yaar for the answer



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