Questions
Three simple harmonic motions in the same direction having the same amplitude a and same period are superposed. If each differs in phase from the next by 45o, then
detailed solution
Correct option is C
Let simple harmonic motions be represented byy1=asinωt−π4;y2=asinωt and y3=asinωt+π4 Resultant will be y=asinωt−π4+sinωt+sinωt+π4=a2sinωtcosπ4+sinωt=a[2sinωt+sinωt]=a(1+2)sinωtResultant amplitude =(1+2)aEnergy is S.H.M. ∝( Amplitude )2∴EResultant ESingle =Aa2=(2+1)2=(3+22)⇒EResultant =(3+22)ESingleSimilar Questions
The displacement y of a particle executing periodic motion is given by . This expression may be considered to be a result of the superposition of ........... independent harmonic motions
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests