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27 August, 03:08

Suppose the displacement x of another object is related to time t according to x = A sin (2nft), where A and f are constants. What are the dimensions of A? a. L x T b. L / T c. L d. T / L e. T

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  1. 27 August, 05:02
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    C. L

    Explanation:

    Given that

    Displacement of the object is given as

    x = A sin (2 n f t)

    We know that

    Quantity Dimensions

    Length/Amplitude L

    Distance / Displacement L

    Time T

    Velocity LT⁻¹

    Acceleration LT⁻²

    Area L²

    Mass M

    Frequency T⁻¹

    Given that x is the displacement that is why the dimensions of the displacement will be L.

    Now by balancing the dimensions both sides, the dimensions of the A will be L.

    C. L
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