Questions  

A particle is subjected to two simple harmonic motions in the same direction having equal amplitudes and equal frequency. If the resulting amplitude is equal to the amplitude of individual motions, the phase difference between them is

Unlock the full solution & master the concept.

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya
a
π/3
b
2π3
c
π6
d
π/2
NEW

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is B

given  A1=A2=Anet     and      Anet=A Resultant amplitude Anet=A12+A22+2A1A2cosθ ⇒A=A2+A2+2A2cosθ   squaring both side      A2=2A2+2A2cosθ ⇒ 2A2cosθ=-A2 ⇒cosθ=-1/2, ⇒ θ=120∘ ⇒  θ=2π3.

prepare smarter

with latest test series, free mock tests, and classes
NEET AITSIIT JEE AITSLive ClassFree Mocks

ctaimg

Similar Questions

A particle is performing simple harmonic motion along x-axis with amplitude 4 cm and time period 1.2 sec. The minimum time taken by the particle to move from x =2 cm to x = + 4 cm  and back again is given by 

Want to Improve your productivity
talk to our academic experts now !!

counselling
india
+91

whats app icon