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 |
 60%
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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%
From NCERT
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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%
From NCERT
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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 |
 65%
From NCERT
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ML3T1Qis dimension of 

(1) Resistivity

(2) Conductivity

(3) Resistance

(4) None of these

Subtopic:  Dimensions |
 56%
From NCERT
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The fundamental physical quantities that have same dimensions in the dimensional formulae of torque and angular momentum are 

(1) Mass, time

(2) Time, length

(3) Mass, length

(4) Time, mole

Subtopic:  Dimensions |
 77%
From NCERT
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If pressure P, velocity V and time T are taken as fundamental physical quantities, the dimensional formula of force is  

(1) PV2T2

(2) P1V2T2

(3) PVT2

(4) P1VT2

Subtopic:  Dimensions |
 75%
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The physical quantity which has dimensional formula as that of EnergyMass×Lengthis 

(1) Force

(2) Power

(3) Pressure

(4) Acceleration

Subtopic:  Dimensions |
 80%
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