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If T and T' are the periods of a sim...

If T and T' are the periods of a simple pendulum and a conical pendulum of the sample length then .

A

`T_(1) = T_(2)`

B

`T_(1) gt _(2)`

C

`T_(1) lt T_(2)`

D

`T_(1)=(T_(2))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`T_(1) gt T_(2)`
`T_(1) = 2pi sqrt((l)/(g)) and T_(2) = 2pi sqrt((l cos theta )/(g))`
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Knowledge Check

  • The period of simple pendulum

    A
    increases with decreases in length
    B
    increases with increases in length
    C
    increases with keeping length constant
    D
    decrease with decrease in acceleration due to gravity

  • Time period of simple pendulum is

    A
    `T = 2pi sqrt(l/g)`
    B
    `T = 2pi sqrt(g/l)`
    C
    `T = sqrt(2 pi (l)/(g))`
    D
    `T = (1)/(2pi) sqrt(g/l)`

  • What is the relation between the period T_(s) and T_(e ) of a simple pendulum and a conical pendulum respectively, if they have the same length ?

    A
    `T_(e )=T_(s )`
    B
    `T_(e ) gt T_(s)`
    C
    `T_(e )//2T_(s)`
    D
    `T_(e ) lt T_(s)`

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