If force can be represented as F = A t + B t 2 + D + x C v where A , B , C , D are constant and F is force, v is velocity and x is distance. Then:

To find the dimensions, equate each term in the force equation F = A t + B t 2 + D + x C v to the dimensions of force. Thus, [ A ] = [ t ] [ F ] = M L T − 3 and [ D ] = [ x ] = L . Options A and D are correct.

Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousEasy2 minQB

PhysicsEasymultiple choice

If force can be represented as $F = A t + B t^{2} + \frac{C v}{D + x}$ where $A, B, C, D$ are constant and $F$ is force, $v$ is velocity and x is distance. Then:

Options:(select one or more)

Answer:

A, D

Solution:

To find the dimensions, equate each term in the force equation $F = A t + B t^{2} + \frac{C v}{D + x}$ to the dimensions of force.

Thus, $[A] = \frac{[ F ]}{[ t ]} = M L T^{- 3}$ and $[D] = [x] = L$ .

Options A and D are correct.

Stream:JEESubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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