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 |
From NCERT
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The measurements are made as 18.425 cm, 7.21 cm, and 5.0 cm. The addition of these measurements should be written as:

1. 30.635 cm

2. 30.64 cm

3. 30.63 cm

4. 30.6 cm

Subtopic:  Significant Figures |
 70%
From NCERT
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A physical parameter '\(a\)' can be determined by measuring the parameters \(b\) and  using the relation\(,a= \frac{b^{\alpha}c^{\beta}}{d^{\gamma}e^{\delta}}.\) If the maximum errors in the measurement of \(b, ~c, ~d,~\text{and}~e\) are \(b_1\%,~c_1\%,~d_1\%~\text{and}~e_1\%\)
1.  \((b_1+c_1+d_1+e_1)\%\)
2.  \((b_1+c_1-d_1-e_1)\%\)
3.  \(\alpha b_1+\beta c_1-\gamma d_1-\delta e_1\%\)
4.  \(\alpha b_1+\beta c_1+\gamma d_1+\delta e_1\%\)

Subtopic:  Errors |
 80%
From NCERT
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The unit of angular acceleration in the SI system is 

(1) Nkg1

(2) ms2

(3) rads2

(4) mkg1K

Subtopic:  Dimensions |
 72%
From NCERT
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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 |
From NCERT
AIIMS - 1987
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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 |
 61%
From NCERT
PMT - 1990
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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 |
From NCERT
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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 |
 65%
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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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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