a sine wave is travelling in a medium the minimum distance between the two particles always having same speed is Answer is (lamda)/2 Please explain the answer

Hello student,

A sine wave has a maxima and a minima. The speed at the maximum and the minimum points are the same though the direction of motions are different. The difference between the positions of maxima and minima is equal to half of wavelength These positions are the antinodes.

Similarly the speed is equal to a maximum when the particle is at the nodes.

Dear Student,
Please find below the solution to your problem.

A sine wave has a maxima and a minima.
The speed at the maximum and the minimum points are the same though the direction of motions are different.
The difference between the positions of maxima and minima is equal to half of wavelength
These positions are the antinodes.
Similarly the speed is equal to a maximum when the particle is at the nodes.

Thanks and Regards