Frequency is the function of density (ρ), length (a) and surface tension (T). Then its value is 

1. k.Tρ1/2a3/2

2. kρ3/2a3/2/T

3. T3/21/2a3/2

4. T3/21/2a1/2

Subtopic:  Dimensions |
 70%
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The dimensions of electric potential are:

(1) [ML2T2Q1]

(2) [MLT2Q1]

(3) [ML2T1Q]

(4) [ML2T2Q]

Subtopic:  Dimensions |
 75%
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The dimension of RL are

(1) T2

(2) T

(3) T–1

(4) T–2

Subtopic:  Dimensions |
 68%
From NCERT
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The dimensions of shear modulus are

(1) MLT–1

(2) ML2T2

(3) ML1T2

(4) MLT2

Subtopic:  Dimensions |
 80%
From NCERT
PMT - 2004
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Pressure gradient has the same dimensions as that of:

(1) Velocity gradient

(2) Potential gradient

(3) Energy gradient

(4) None of these

Subtopic:  Dimensions |
 58%
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If force (F), length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be

(1) FL1T2

(2) FL1T2

(3) FL1T1

(4) FL2T2

Subtopic:  Dimensions |
 75%
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In the relation, \(y=a \cos (\omega t-k x)\), the dimensional formula for \(k\) will be:
1. \( {\left[M^0 L^{-1} T^{-1}\right]} \)
2. \({\left[M^0 L T^{-1}\right]} \)
3. \( {\left[M^0 L^{-1} T^0\right]} \)
4. \({\left[M^0 L T\right]}\)

Subtopic:  Dimensions |
 79%
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"Pascal-Second" has dimension of 

(1) Force

(2) Energy

(3) Pressure

(4) Coefficient of viscosity

Subtopic:  Dimensions |
 70%
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In a system of units if force (F), acceleration (A) and time (T) are taken as fundamental units then the dimensional formula of energy is 

(1) FA2T

(2) FAT2

(3) F2AT

(4) FAT

Subtopic:  Dimensions |
 79%
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The ratio of the dimension of Planck's constant and that of moment of inertia is the dimension of

(1) Frequency

(2) Velocity

(3) Angular momentum

(4) Time

Subtopic:  Dimensions |
 68%
From NCERT
PMT - 2005
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