Two particles P and Q describe S.H.M. of same amplitude a, same frequency f along the same shaight line. The maximum distance between the two particles is $$a2$$ . The phase difference between the particle is:

Question

Two particles P and Q describe S.H.M. of same amplitude a, same frequency f along the same shaight line. The maximum distance between the two particles is $$a2$$ . The phase difference between the particle is:

Infinity Learn · Accepted Answer

$$x1$$ $$=$$ a $$sin$$$$($$ω$$t+$$∅$$1)x2$$ $$=$$ a $$sin$$$$($$ω$$t+$$∅$$2$$ $$)$$⇒  |$$x1-x2$$| $$=$$ $$2a$$ $$sin$$$$($$ω$$t+$$∅$$1+$$∅$$2$$ $$2)$$$$cos$$$$($$∅ $$1+$$∅ $$22)To$$ maximize |$$x1-x2$$| : $$sin$$$$($$ω$$t+$$∅$$1+$$∅$$22)$$ $$=$$ $$1$$⇒$$a2$$ $$=$$ $$2a$$ ×$$1$$×$$cos$$$$($$∅$$1-$$∅$$22)$$⇒ $$12$$ $$=$$$$cos$$$$($$∅$$1-$$∅$$22)$$⇒π$$4$$ $$=$$ ∅$$1-$$∅$$22$$ ⇒ ∅$$1-$$∅$$2$$ $$=$$ π$$2$$

Two particles P and Q describe S.H.M. of same amplitude a, same frequency f along the same shaight line. The maximum distance between the two particles is $a \sqrt{2}$ . The phase difference between the particle is:

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Two particles P and Q describe S.H.M. of same amplitude a, same frequency f along the same shaight line. The maximum distance between the two particles is a2 . The phase difference between the particle is:

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Two particles P and Q describe S.H.M. of same amplitude a, same frequency f along the same shaight line. The maximum distance between the two particles is $a \sqrt{2}$ . The phase difference between the particle is: