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The period of a simple pendulum whose bo...

The period of a simple pendulum whose bob is hollow metallic sphere is `T`. The period is `T_(1)` when the bob is filled with sand, `T_(2)` where it is filled with mercury and `T_(3)` when it is half filled with mercury Which of the following is true?

A

`T=T_(1)=T_(2)gtT_(3)`

B

`T_(1)=T_(1)=T_(3)gtT`

C

`TgtT_(3)gtT_(1)=T_(2)`

D

`T=T_(1)=T_(2)ltT_(3)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The period of a simple paredulum whose the bob is remain sphere is T . The period is T_(1) where the bob is filled with sand, T_(2) where it is filled with mercury and T_(3) when it is half filled with mercury Which of the following is true?

    A
    `T = T_(1) = T_(2) gt T_(3)`
    B
    ` T_(1) = T_(1) =T_(3) gt T`
    C
    `T gt T_(3) gt T_(1) = T_(2)`
    D
    `T = T_(1) = T_(2) lt T_(3)`

  • The time period of a simple pendulum, in the form of a hollow metallic sphere, is T. When it is filled with sand and mercury, then its time periods are T_(1) and T_(2) respectively. When it is partially filled with sand then its time period is T_(3) . The correct relation between T_(1), T_(2) & T_(3) will be

    A
    `T = T_(1) = T_(2) = T_(3)`
    B
    `T = T_(1) = T_(2) lt T_(3)`
    C
    `T = T_(1) gt T_(2) gt T_(3)`
    D
    `T gt T_(1) gt T_(2) = T_(3)`

  • The periodic time of a simple pendulum is 3 sec. The mass of its hollow spherical bob is 100 gram. The bob is then filled with sand, so that the mass of the bob becomes 200 gram. Then the new period of oscillation of the simple pendulum wil be

    A
    6 sec
    B
    12 sec
    C
    3 sec
    D
    9 sec

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