4. Compare the time period of the two simple pendulums of length 1 m and 16 m at a place.
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Answer:T1=2π1g−−√,T2=2πu16g−−−√=4T1
at any time t phase of pendulums are
ϕ1=ω1t=2πT1t,ϕ2=ω2t=2πT2t
First pendulum is faster both will be in same phase again when faster pendulum completated one oscillation more than slower pendulum
⇒2πT1t−2π4T1t=2π⇒t=4T13
No of oscillation completed by shorter pendulum in time t
n=tT1=43
Explanation:
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