Two simple pendulum of lengths 1 m and 9 m respectively are both given a displacement in the same direction at the same instant. They will again be in

Question

Two simple pendulum of lengths 1 m and 9 m respectively are both given a displacement in the same direction at the same instant. They will again be in

Two simple pendulum of lengths 1 m and 9 m respectively are both given a displacement in the same direction at the same instant. They will again be in phase after the shorter pendulum has completed number of oscillations are
A. `1//4`
B. `3//2`
C. `4//3`
D. `2`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
`n_(1)prop(1)/(sqrt(l_(1)))andn_(2)prop(1)/(sqrt(l_(2)))`
`n_(1)sqrt(l_(1))=n_(2)sqrt(l_(2))`
`(3)/(n_(1))=(1)/(n_(2))`
`n_(1)=3n_(2)andn_(2)=(n_(1))/(3)`
`n_(1)-n_(2)=1`
`n_(1)-(n_(1))/(3)=1`
`3n_(1)-n_(1)=3`
`n_(1)=(3)/(2)`

4 views Answered 2023-02-05 15:29