The dimensional formula for impulse is

(1) $ML{T}^{-2}$

(2) $ML{T}^{-1}$

(3) $M{L}^{2}{T}^{-1}$

(4) ${M}^{2}L{T}^{-1}$

Concept Questions :-

Dimensions
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Difficulty Level:

The dimensional formula for the modulus of rigidity is

(1) $M{L}^{2}{T}^{-2}$

(2) $M{L}^{-1}{T}^{-3}$

(3) $M{L}^{-2}{T}^{-2}$

(4) $M{L}^{-1}{T}^{-2}$

Concept Questions :-

Dimensions
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Difficulty Level:

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

(1) ${M}^{0}L{T}^{-1}$

(2) ${M}^{0}{L}^{0}{T}^{-2}$

(3) ${M}^{0}{L}^{0}{T}^{-1}$

(4) $ML{T}^{-3}$

Concept Questions :-

Dimensions
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Difficulty Level:

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

(1) $M{L}^{-2}{T}^{-3}$

(2) $M{L}^{2}{T}^{-2}$

(3) $M{L}^{2}{T}^{-1}$

(4) $M{L}^{-2}{T}^{-2}$

Concept Questions :-

Dimensions
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Difficulty Level:

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

Concept Questions :-

Dimensions
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Difficulty Level:

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

(1) Momentum

(2) Force

(3) Rate of change of momentum

(4) Torque

Concept Questions :-

Dimensions
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Difficulty Level:

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

Concept Questions :-

Dimensions
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Difficulty Level:

Planck's constant has the dimensions (unit) of

(1) Energy

(2) Linear momentum

(3) Work

(4) Angular momentum

Concept Questions :-

Dimensions
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Difficulty Level:

The equation of state of some gases can be expressed as $\left(P+\frac{a}{{V}^{2}}\right)\left(V-b\right)=RT$. 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) $M{L}^{5}{T}^{-2}$

(2) $M{L}^{-1}{T}^{-2}$

(3) ${M}^{0}{L}^{3}{T}^{0}$

(4) ${M}^{0}{L}^{6}{T}^{0}$

Concept Questions :-

Dimensions
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Difficulty Level:

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) $ML{T}^{-2}$

(3) ${M}^{2}L{T}^{-1}$

(4) $M{L}^{2}{T}^{-2}$

Concept Questions :-

Dimensions