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    Dimensions Of Physical Quantities MCQ - Practice Questions with Answers

    Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

    Quick Facts

    • Dimension, Frequency, angular frequency, angular velocity, velocity gradient, Work, Potential Energy, Kinetic Energy, Torque, Momentum, Impulse , Angular momentum, Angular impulse is considered one of the most asked concept.

    • 44 Questions around this concept.

    Solve by difficulty

    A, B, C and D are four different physical quantities having different dimensions. None of them is dimensionless.  But we know that the equation AD = C ln(BD) holds true.  Then which of the combination is not a meaningful quantity?

    Which one of the following represents the correct dimensions of the coefficient of viscosity?

    The dimensional formula of angular velocity is equal to?

    Identify the pair whose dimensions are equal.

    Out of the following pairs which one does not have identical dimensions is

    Which of the following statements is true about physical quantity work and torque?

    A force of 10 N is applied to a lever arm of length 5 m. If the torque produced by the force is 50 Nm, what is the value of the dimensionless constant in the torque formula $T=k F r^a$?

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    Which pair has the same dimension?

     

    Concepts Covered - 4

    Dimension

    The power to which fundamental quantities must be raised in order to express the given physical quantities.

    For representing dimensions of different quantities, we use the following symbols:

    1. Mass - M

    2. Length - L

    3. Time - T

    4. Electric current - A

    5. Temperature - K

    Frequency, angular frequency, angular velocity, velocity gradient

    All these quantities will have the same dimensional formula which is equal to $M^0 L^0 T^{-1}$
    While the SI unit of Frequency and velocity gradient is $\sec ^{-1}$.
    The S.I. unit of angular frequency and angular velocity is radians per sec
    Note:- Angle is a dimensionless quantity.

     

     

     

     

    Work, Potential Energy, Kinetic Energy, Torque

    All these quantities will have the same dimensional formula which is equal to $M L^2 T^{-2}$
    All the e quantities will have the same unit in the SI system which is equal to $\mathrm{N}-\mathrm{m}$ or Joule

     

     

    Momentum, Impulse , Angular momentum, Angular impulse
    • Momentum and Impulse both have the same dimensional formula which is equal to $M L T^{-1}$
    • And Both have the same Sl unit which is equal to $\mathrm{kgms}^{-1}$
    • Angular Momentum and Angular Impulse have the same dimensional formula which is equal to $M L^2 T^{-1}$ and have the same SI unit which is equal to $k g(m)^2(s e c)^{-1}$

     

     

     

    Study it with Videos

    Dimension
    Frequency, angular frequency, angular velocity, velocity gradient
    Work, Potential Energy, Kinetic Energy, Torque

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