The physical quantities not having the same dimensions are: 

(1) Speed and (μ0ε0)1/2

(2) Torque and work

(3) Momentum and Planck's constant

(4) Stress and Young's modules

Subtopic:  Dimensions |
 72%
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The dimensional formula of relative density is: 

(1) ML–3

(2) LT–1

(3) MLT–2

(4) Dimensionless

Subtopic:  Dimensions |
 73%
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PMT - 2003
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The dimensional formula for young's modulus is 

(1) ML1T2

(2) M0LT2

(3) MLT–2

(4) ML2T2

Subtopic:  Dimensions |
 83%
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PMT - 2004
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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%
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The dimensions of shear modulus are

(1) MLT–1

(2) ML2T2

(3) ML1T2

(4) MLT2

Subtopic:  Dimensions |
 80%
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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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