Two progressive transverse waves given by `y_(1) =0.007 sinpi ( 12x- 500 t )`and `y _(2) = 0.07 sin pi ( 12x+500t)` travelling along a stretched string from nodes and antinodes . What is the displacement at the (a) nodes (b) antinodes ? What is the wavelength of the standing wave ?

Two progressive transverse waves given by `y_(1) =0.007 sinpi ( 12x- 5

1.	Two progressive transverse waves given by `y_(1) =0.007 sinpi ( 12x- 500 t )`and `y _(2) = 0.07 sin pi ( 12x+500t)` travelling along a stretched string from nodes and antinodes . What is the displacement at the (a) nodes (b) antinodes ? What is the wavelength of the standing wave ?
Answer» `A_(1) = 0.07 ,A_(2) = 0.07 , K = 12pi ` (a) At nodes , displacement `y= A_(1) -A_(2) = 0.07-0.07 =0` (b) At antinodes ,displacement `y =A_(1) + A_(2) = 0.07 +0.07 =0.14m` (c ) Wavelength `lambda = ( 2pi)/( K ) = (2pi)/(12pi) = 0.16m`

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Two progressive transverse waves given by `y_(1) =0.007 sinpi ( 12x- 500 t )`and `y _(2) = 0.07 sin pi ( 12x+500t)` travelling along a stretched string from nodes and antinodes . What is the displacement at the (a) nodes (b) antinodes ? What is the wavelength of the standing wave ?

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