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Write the dimensions of a and b in the r...

Write the dimensions of a and b in the relation `P = (b -x)^2/(at)` Where P is power, x is distance and t is time.

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To find the dimensions of \(a\) and \(b\) in the relation \(P = \frac{(b - x)^2}{at}\), where \(P\) is power, \(x\) is distance, and \(t\) is time, we will use dimensional analysis. ### Step-by-Step Solution: 1. **Identify the dimensions of the given quantities:** - Power (\(P\)): The dimension of power is \([P] = [M L^2 T^{-3}]\). - Distance (\(x\)): The dimension of distance is \([x] = [L]\). - Time (\(t\)): The dimension of time is \([t] = [T]\). ...
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Find the dimensions of a//b in the relation P =(b-x^2)/(at) where P is pressure. X is distance and t is time.

Write the dimensions of a//b in the relation P =(a-t^2)/(bx) where P is pressure, x is distance and t is time.

Knowledge Check

  • The dimensions of a/b in the equation P=(a-t^(2))/(bx) where P is pressure, x is distance and t is time are

    A
    `[M^(2)LT^(-3)]`
    B
    `[MT^(-2)]`
    C
    `[ML^(3)T^(-1)]`
    D
    `[LT^(-3)]`
  • The dimensions of (b)/( a) in the equation P= (a-t^(2))/(bx) where P is pressure, x is distance and t is time are

    A
    `[M^(2)LT^(-3)]`
    B
    `[M^(-1)L^(0)T^(-2)]`
    C
    `[ML^(3)T^(-1)]`
    D
    `[MLT^(-3)]`
  • The dimensions of (a)/(b) in the equation P= (a^(2)-t^(2))/(bx) where P is pressure, x is distance and t is time are

    A
    `[M^(2)LT^(-3)]`
    B
    `[ML^(0)T^(-2)]`
    C
    `[ML^(3)T^(-1)]`
    D
    `[M^(0)LT^(-3)]`
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