Questions in Units and Measurements

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Dimensions of magnetic field intensity is
The force \[F\] on a sphere of radius \['a'\] moving in a medium with velocity \['v'\] is given by \[F = 6\pi \eta av\]. The dimensions of \[\eta \] are
Which physical quantities have the same dimension
Two quantities A and B have different dimensions. Which mathematical operation given below is physically meaningful
Given that \[v\] is speed, \[r\] is the radius and \[g\] is the acceleration due to gravity. Which of the following is dimensionless
The physical quantity which has the dimensional formula \[{M^1}{T^{ - 3}}\] is
A force \[F\] is given by \[F = at + b{t^2}\], where \[t\] is time. What are the dimensions of \[a\] and \[b\]
The dimensions of inter atomic force constant are
If the speed of light \[(c)\], acceleration due to gravity \[(g)\] and pressure \[(p)\] are taken as the fundamental quantities, then the dimension of gravitational constant is
If the time period \[(T)\] of vibration of a liquid drop depends on surface tension \[(S)\], radius \[(r)\] of the drop and density \[(\rho )\] of the liquid, then the expression of \[T\] is

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