The dimensional formula for r.m.s. (root mean square) velocity is

(1) M0LT1

(2) M0L0T2

(3) M0L0T1

(4) MLT3

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The dimensional formula for Planck's constant (h) is 

(1) ML2T3

(2) ML2T2

(3) ML2T1

(4) ML2T2

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Out of the following, the only pair that does not have identical dimensions is 

(1) Angular momentum and Planck's constant

(2) Moment of inertia and moment of a force

(3) Work and torque

(4) Impulse and momentum

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The dimensional formula for impulse is same as the dimensional formula for 

(1) Momentum

(2) Force

(3) Rate of change of momentum

(4) Torque

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Which of the following is dimensionally correct

(1) Pressure = Energy per unit area

(2) Pressure = Energy per unit volume

(3) Pressure = Force per unit volume

(4) Pressure = Momentum per unit volume per unit time

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Planck's constant has the dimensions (unit) of 

(1) Energy

(2) Linear momentum

(3) Work

(4) Angular momentum

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The equation of state of some gases can be expressed as P+aV2(Vb)=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 

(1) ML5T2

(2) ML1T2

(3) M0L3T0

(4) M0L6T0

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If V denotes the potential difference across the plates of a capacitor of capacitance C, the dimensions of CV2 are     [Only for Dropper and XII batch]

(1) Not expressible in MLT

(2) MLT2

(3) M2LT1

(4) ML2T2

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If L denotes the inductance of an inductor through which a current i is flowing, the dimensions of Li2 are  

(1) ML2T2

(2) Not expressible in MLT

(3) MLT2

(4) LT

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Of the following quantities, which one has dimensions different from the remaining three 

(1) Energy per unit volume

(2) Force per unit area

(3) Product of voltage and charge per unit volume

(4) Angular momentum per unit mass

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