1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Two particle execute S H M of same amplitude and frequency along the same straight line, They pass one another going in opposite direction each time their displacement is half of their amplitude. The phase difference between them is

A
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
120
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
180
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
135
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B 120∘Accordingtoquestion.............Infirstcase:a2=asinωt⇒sinωt=12andinsecondcase:a2=asin(ωt+φ)⇒sin(ωt+φ)=12Now,⇒sinωtcosφ+cosωtsinϕ=12⇒12cosφ+√1−14sinφ=12⇒√3sinϕ=1−cosφ⇒sin2φ=1+cos2φ−2cosφ⇒4cos2φ−2cosφ−2=0⇒cosφ=1−34=−12∴cosφ=−12φ=1200sothatthecorrectoptionisB.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Surfing a Wave
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program