The dimensional formula of the coefficient of thermal conductivity is :

1.  M1L1T-3K-1

2.  M3L-1T-3K

3.  M1L-3T-1K-1

4.  M1L1T-3K

Subtopic:  Dimensions |
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The measurement are made as 18.425 cm,7.21 cm and 5.0 cm. The additionshould be written as:a 30.635 cmb 30.64 cmc 30.63 cmd 30.6 cm

 

Subtopic:  Significant Figures |
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A physical parameter 'a' can be determined by measuring the parameters b,  and  using the relation, a=bαcβdγeδ. If the maximum errors in the measurement of b, c,  and e

1 b1+c1+d1+e1%

(2)  b1+c1-d1-e1%

(3)  αb1+βc1-γd1-δe1%

(4)  αb1+βc1+γd1+δe1%

Subtopic:  Errors |
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The unit of angular acceleration in the SI system is 

(1) Nkg1

(2) ms2

(3) rads2

(4) mkg1K

Subtopic:  Dimensions |
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A spherical body of mass m and radius r is allowed to fall in a medium of viscosity η. The time in which the velocity of the body increases from zero to 0.63 times the terminal velocity (v) is called time constant (τ). Dimensionally τ can be represented by 

(1) mr26πη

(b) 6πmrηg2

(c) m6πηrv

(4) None of the above

Subtopic:  Dimensions |
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The frequency of vibration f of a mass m suspended from a spring of spring constant K is given by a relation of this type f=CmxKy; where C is a dimensionless quantity. The value of x and y are 

1. x=12,y=12

2. x=12,y=12

3. x=12,y=12

4. x=12,y=12

Subtopic:  Dimensions |
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The quantities A and B are related by the relation, m = A/B, where m is the linear density and A is the force. The dimensions of B are of

1. Pressure

2. Work

3. Latent heat

4. None of the above

Subtopic:  Dimensions |
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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 |
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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 |
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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 |
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