Which of the following quantities is dimensionless

(1) Gravitational constant

(2) Planck's constant

(3) Power of a convex lens

(4) None

Subtopic:  Dimensions |
 67%
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The dimensional formula for Boltzmann's constant is 

(1) [ML2T2θ1]

(2) [ML2T2]

(3) [ML0T2θ1]

(4) [ML2T1θ1]

Subtopic:  Dimensions |
 72%
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The dimensions of K in the equation W=12  Kx2 is 

(1) M1L0T2

(2) M0L1T1

(3) M1L1T2

(4) M1L0T1

Subtopic:  Dimensions |
 81%
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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 |
 82%
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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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