Questions
Two. S.H.M’s are represented by the relations and . Then the ratio of their time periods is
a
1.6
b
0.825
c
2
d
0.5
detailed solution
Correct option is B
We can compare the given two equations with the standard equation y=Asinωt+ϕ . Hence from the equation y=10sin40t+π2 , ω1=40 rad/s and from the equation y=10cos25t+π4, ω2=25 rad/s , Using the relation ω=2πT , ω1ω2=T2T1 ,Hence T1T2=ω2ω1=2540=58Solving the above fraction we get T1T2=58=0.825.Talk to our academic expert!
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Which of the following function represents a simple harmonic oscillation
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