The force F on a sphere of radius ‘a’ moving in a medium with velocity ‘v’ is given by F=6πηav. The dimensions of η are 

(1) ML1T1

(2) MT1

(3) MLT2

(4) ML3

Subtopic:  Dimensions |
 81%
From NCERT
PMT - 1997
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Which physical quantities have the same dimensions?

(1) Couple of force and work

(2) Force and power

(3) Latent heat and specific heat

(4) Work and power

Subtopic:  Dimensions |
 58%
From NCERT
PMT - 1997
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Two quantities A and B have different dimensions. Which mathematical operation given below is physically meaningful?

(1) A/B

(2) A + B

(3) AB

(4) None

Subtopic:  Dimensions |
 78%
From NCERT
PMT - 1997
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Given that v is speed, r is the radius and g is the acceleration due to gravity. Which of the following is dimensionless?

(1) v2/rg

(2) v2r/g

(3) v2g/r

(4) v2rg

Subtopic:  Dimensions |
 83%
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The physical quantity which has the dimensional formula M1T3 is 

(1) Surface tension

(2) Solar constant

(3) Density

(4) Compressibility

Subtopic:  Dimensions |
 61%
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A force F is given by F = at + bt2, where t is time. What are the dimensions of a and b:

(1) MLT3 and ML2T4

(2) MLT3 and MLT4

(3) MLT1 and MLT0

(4) MLT4 and MLT1

Subtopic:  Dimensions |
 79%
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The dimensions of the interatomic force constant are:

(1) MT2

(2) MLT1

(3) MLT2

(4) ML1T1

Subtopic:  Dimensions |
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If the speed of light (c), acceleration due to gravity (g) and pressure (p) are taken as the fundamental quantities, then the dimension of gravitational constant is 

(1) c2g0p2

(2) c0g2p1

(3) cg3p2

(4) c1g0p1

Subtopic:  Dimensions |
 71%
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If the time period (T) of vibration of a liquid drop depends on surface tension (S), radius (r) of the drop and density (ρ) of the liquid, then the expression of T is 

(1) T=kρr3/S

(2) T=kρ1/2r3/S

(3) T=kρr3/S1/2

(4) None of these

Subtopic:  Dimensions |
 66%
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\(ML^3T^{-1}Q^{-2}\) is dimensions of:
1. Resistivity
2. Conductivity
3. Resistance
4. None of these

Subtopic:  Dimensions |
 56%
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