The velocity of water waves v may depend upon their wavelength λ, the density of water ρ and the acceleration due to gravity g. The method of dimensions gives the relation between these quantities as: 

1. v2-1ρ-1

2. v2gλρ

3. v2

4. v2g1λ3

Subtopic:  Dimensions |
 65%
From NCERT
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The dimensions of resistivity in terms of \(M\), \(L\), \(T\), and \(Q\) where \(Q\) stands for the dimensions of charge, will be:
1. \(\left[M L^3 T^{-1} Q^{-2}\right]\)
2. \(\left[M L^3 T^{-2} Q^{-1}\right]\)
3. \(\left[M L^2 T^{-1} Q^{-1}\right]\)
4. \(\left[M L T^{-1} Q^{-1}\right]\)

Subtopic:  Dimensions |
 64%
From NCERT
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The dimensions of Farad are , where Q represents electric charge [This question includes concepts from 12th syllabus]

(1) M1L2T2Q2

(2) M1L2TQ

(3) M1L2T2Q

(4) M1L2TQ2

Subtopic:  Dimensions |
 68%
From NCERT
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The equation of a wave is given by Y=Asinω(xvk) where ω is the angular velocity, x is length and v is the linear velocity. The dimension of k is 

(1) LT

(2) T

(3) T1

(4) T2

Subtopic:  Dimensions |
 70%
From NCERT
PMT - 1993
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Dimensional formula of capacitance is 

(1) M1L2T4A2

(2) ML2T4A2

(3) MLT4A2

(4) M1L2T4A2

Subtopic:  Dimensions |
 71%
From NCERT
PMT - 1978
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Dimensional formula of heat energy is  

(1) ML2T2

(2) MLT1

(3) M0L0T2

(4) None of these

Subtopic:  Dimensions |
 84%
From NCERT
PMT - 1976
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If C and L denote capacitance and inductance respectively, then the dimensions of LC are 

(1) M0L0T0

(2) M0L0T2

(3) M2L0T2

(4) MLT2

Subtopic:  Dimensions |
 70%
From NCERT
PMT - 1981
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Which of the following quantities has the same dimensions as that of energy?

(1) Power

(2) Force

(3) Momentum

(4) Work

Subtopic:  Dimensions |
 84%
From NCERT
PMT - 1976
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The dimensions of "time constant" LR during growth and decay of current in all inductive circuit is same as that of  

(1) Constant

(2) Resistance

(3) Current

(4) Time

Subtopic:  Dimensions |
 71%
From NCERT
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The period of a body under SHM is presented by T=PaDbSc; where P is pressure, D is density and S is surface tension. The value of a, b and c are:

1. 32,12,1

2. 1,2,3

3. 12,32,12

4. 1, 2, 13

Subtopic:  Dimensions |
 60%
From NCERT
PMT - 1981
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