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The diagram shows plane wavefronts for sound wave travelling in air towards right Each of these wavefronts represent successive pressure maxima for the pressure wave. Initally the source S, observer O and medium are all at rest. The source is a large plane diaphragm and observer is a detector Wave fronts being considered in column-II have been emitted after the action in column-II has taken place. `{:(,"Column-I",,"Column-II"),("(A)","Source starts moving towards right",,"(P)distance between any two wavelength will increase"),("(B)","Air starts moving towards right",,"(Q)distance between any two wavefronts will decrease"),("(C)",underset("towards left with same speed")"Observer and source both move",,underset("point A to B in space will increase")"(R)the time needed by sound to move"),("(D)",underset("move towards right with same speed")"Source and medium air both",,underset("point A to B in spce will decrease")"(S)time needed by sound to move from"),(,,,"(T)frequency received by observer is increase"):}` |
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Answer» `(DeltaQ)/(Deltat)= (k_(0)[pi(2R)^(2)-piR^(2)])/(3R)(T_(1)-T_(2))=pirk_(0)(T_(1)-T_(2))` (B)`(DeltaQ)/(Deltat)=(4pikR_(1)R_(2))/((R_(2)-R_(1)))(T_(1)-T_(2))=(4pik_(0)3R.R)/((3R-R))(T_(1)-T_(2))=6pik_(0)R(T_(1)-T_(2))` `(C) (DeltaQ)/(Deltat)=(2pik_(0)l)/(l n(R_(2)/R_(1))) (T_(1)-T_(2))=(4pik_(0)R)/(l n2)(T_(1)-T_(2))` (D)`(DeltaQ)/(Deltat)=-piR^(2)k.(dT)/(dx)=-piR^(2)k_(0)(1+x/(3R))(dT)/(dx)` :.`(DeltaQ)/(Deltat)=underset0overset(3R)int (dx)/((1+x/(3R)))=-piR^(2)k_(0) underset(T_(0))overset(T_(2))int dt` `(DeltaQ)/(Deltat)=(l n(1+x/(3R)))/((R//3)):|_(0)^(3R)=piR^(2)k_(0)(T_(1)-T_(2))` `(DeltaQ)/(Deltat)=(pik_(0)R(T_(1)-T_(2)))/(3 l n2)` |
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