Wavelength of the wave which is produced at the wire

[thereddevils]

Homework Statement

The diagram attached shows a metal wire stretched between two supports P and T which are 4x apart where PQ=QR=RS=ST=x . Three small pieces of paper are placed at positions Q , R and S . When the wire is vibrated at a certain frequency , the small piece of paper at R remains on the wire but the small pieces of paper at Q and S drop off . What is the wavelength of the wave which is produced at the wire .

Homework Equations

The Attempt at a Solution

what can i infer if that paper doesn't drop , does it have anything to do with the nodes and antinodes of the standing wave ?

 

[rl.bhat]

P, R and T are nodes. Q and S are antipodes.
Length between the two successive nodes or antinodes is equal to λ/2.

 

[thereddevils]

P, R and T are nodes. Q and S are antipodes.
Length between the two successive nodes or antinodes is equal to λ/2.

thanks !