The equation of stationary wave along a stretched string is given by
y = 5 sin πx3cos 40 πt , where x and y are in cm and t in second. The
separation between two adjacent nodes is
[CPMT 1990; MP PET 1999; AMU 1999;
DPMT 2004; BHU 2005]
3 cm
On comparing the given equation with standard equation
y = 2 a sin 2πxλcos2πvtλ⇒2πxλ=πx3⇒λ=6
Separation between two adjacent nodes = λ2=3cm