Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-6

  • question_answer
    Which of the following have the same dimensional formula?

    A)  Force, momentum and power

    B)  Impulse and momentum

    C)  Work, couple and power

    D)  Pressure, force and stress

    Correct Answer: B

    Solution :

    Impulse =Force \[\times \]Time Dimensional formula is given by [lmpluse] = [Force]\[\times \][Time] \[=[ML{{T}^{2}}]\times [T]\] \[=[ML{{T}^{-1}}]\] Momentum = Mass\[\times \]Velocity Dimensional Formula is given by [Momentum] = [Mass]\[\times \][Velocity] \[=[M][L{{T}^{-2}}]\] \[=[ML{{T}^{-1}}]\] \[\therefore \] Both momentum and impulse have same dim dimensional formula.


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