An harmonic wave is travelling on a stretched string. At any particular instant, the smallest distance
between two particles having same displacement, equal to half of amplitude is 8 cm. Find the smallest
separation between two particles which have same values of displacement (magnitude only) egy
to half of amplitude.
a) 8 cm
b) 24 cm
c) 12 cm
d) 4 cm
Answers
Answer:
An harmonic wave is travelling on a stretched string. At any particular instant, the smallest distance
between two particles having same displacement, equal to half of amplitude is 8 cm. Find the smallest
separation between two particles which have same values of displacement (magnitude only) egy
to half of amplitude.
a) 8 cm
b) 24 cm✔
c) 12 cm
d) 4 cm
The smallest seperation between two particles which have same values of displacement equal to half of magnitude is 4cm
1.consider all six particles have their displacement =±A/2
2.to get the separation between two particles having displacement of amplitude A/2,we have
A/2=Asin(kx-wt)
⇒kx=π/6,5π/6,....... and x2-x1=λ/3
3.now separation between two particles ie 1 and 2 comes out to be λ/3
from given λ/3=8cm
therefore λ=24cm
4.the separation between 1-3 -separation between 1-2
=λ/2-λ/3=λ/6=4cm