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

(1) M0LT1

(2) M0L0T2

(3) M0L0T1

(4) MLT3

Subtopic:  Dimensions |
 77%
From NCERT
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The dimensional formula for Planck's constant (h) is 

(1) ML2T3

(2) ML2T2

(3) ML2T1

(4) ML2T2

Subtopic:  Dimensions |
 76%
From NCERT
PMT - 1987
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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

Subtopic:  Dimensions |
 70%
From NCERT
PMT - 1998
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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

Subtopic:  Dimensions |
 75%
From NCERT
PMT - 1982
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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

Subtopic:  Dimensions |
 66%
From NCERT
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Planck's constant has the dimensions (unit) of 

(1) Energy

(2) Linear momentum

(3) Work

(4) Angular momentum

Subtopic:  Dimensions |
 69%
From NCERT
AIIMS - 1985
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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

Subtopic:  Dimensions |
 75%
From NCERT
PMT - 1991
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If V denotes the potential difference across the plates of a capacitor of capacitance C, the dimensions of CV2 are [This question includes concepts from 12th syllabus]

(1) Not expressible in MLT

(2) MLT2

(3) M2LT1

(4) ML2T2

Subtopic:  Dimensions |
 65%
From NCERT
PMT - 1982
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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

Subtopic:  Dimensions |
 69%
From NCERT
PMT - 1982
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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

Subtopic:  Dimensions |
 65%
From NCERT
AIIMS - 1987
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