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Consider a simple pendulum having a bob ...

Consider a simple pendulum having a bob attached to a string that oscillates under the action of a force of gracity. Suppose that the period of oscillation of the simple pendulum depends on its length (I), mass of the bob (m) and acc. Due to gravity (g). Derive the expression for its time period using method of dimensions.

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To derive the expression for the time period of a simple pendulum using the method of dimensions, we can follow these steps: ### Step 1: Identify the Variables We need to identify the variables that affect the time period (T) of the pendulum. The time period depends on: - Length of the pendulum (L) - Mass of the bob (m) - Acceleration due to gravity (g) ...
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Consider a simple pendulum, having a bob attached to a string that oscillates under the action of the force of gravity. Suppose that the period of oscillation of the simple pendulum depends on its length (1), mass of the bob (m) and acceleration due to gravity (g). Derive the expression for its time period using method of dimensions.

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Knowledge Check

  • Consider a simple pendulum. The period of oscillation of the simple pendulum depends on its length and acceleration due to gravity. Then the expression for its time period is

    A
    `t=kgsqrtl`
    B
    `t=ksqrt(lg)`
    C
    `t=ksqrt((l)/(g))`
    D
    `t=k(l)/(sqrtg)`

  • The period of oscillation of a simple pendulum of constant length at earth surface is T. Its period inside a mine is C

    A
    Greater than T
    B
    Less than T
    C
    Equal to T
    D
    connot be compared

  • The period of oscillation of a simple pendulum of constant length at surface of the earth is T. Its time period inside mine will be

    A
    Increases
    B
    Decreases
    C
    No change
    D
    None

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