Questions in Units and Measurements

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The dimensional formula for impulse is
The dimensional formula for the modulus of rigidity is
The dimensional formula for \[r.m.s.\] (root mean square) velocity is
The dimensional formula for Planck's constant \[(h)\] is
Out of the following, the only pair that does not have identical dimensions is
The dimensional formula for impulse is same as the dimensional formula for
Which of the following is dimensionally correct
Planck's constant has the dimensions (unit) of
The equation of state of some gases can be expressed as \[\left( {P + \frac{a}{{{V^2}}}} \right)\,(V - b) = RT\]. Here \[P\] is the pressure, \[V\] is the volume, \[T\] is the absolute temperature and \[a,\,b,\,R\] are constants. The dimensions of \['a'\] are
If \[V\] denotes the potential difference across the plates of a capacitor of capacitance \[C\], the dimensions of \[C{V^2}\]are

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