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
High Yielding Test Series + Question Bank - NEET 2020

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
High Yielding Test Series + Question Bank - NEET 2020

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
High Yielding Test Series + Question Bank - NEET 2020

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
High Yielding Test Series + Question Bank - NEET 2020

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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Planck's constant has the dimensions (unit) of

(1) Energy

(2) Linear momentum

(3) Work

(4) Angular momentum

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

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
High Yielding Test Series + Question Bank - NEET 2020

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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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

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

(2) Not expressible in MLT

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

(4) LT

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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

Concept Questions :-

Dimensions