The density of material in the CGS system of units is 4g/cm3. In a system of units in which unit of length is 10cm and unit of mass is 100g when the value of density of material in this system will be:

(1) 0.4

(2) 40

(3) 400

(4) 0.04 

Subtopic:  Dimensions |
 58%
From NCERT
NEET - 2011
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The dimension of 12ε0E2, where ε0 is permittivity of free space and E is electric field, is

(a) ML2T-2                                   (b) ML-1T-2

(c) ML2T-1                                   (d) MLT-1

Subtopic:  Dimensions |
 69%
From NCERT
NEET - 2010
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A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e1 and e2 respectively, the percentage error in the estimation of g is 

1. e2-e1

2. e1+2e2

3. e1+e2 

4. e1-2e2

Subtopic:  Errors |
 68%
From NCERT
NEET - 2010
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If the dimension of a physical quantity are given by MaLbTc, then the physical quantity will be

(1) pressure if a=1, b=-1, c=-2

(2) velocity if a=1, b=0, c=-1

(3) acceleration if a=1, b=1,c=-2

(4) force if a=0, b=-1, c=-2

Subtopic:  Dimensions |
 80%
From NCERT
NEET - 2009
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If the error in the measurement of the radius of a sphere is 2%, then the error in the determination of the volume of the sphere will be:

1. 4%                                                   2. 6%

3. 8%                                                   4. 2%

Subtopic:  Errors |
 79%
From NCERT
NEET - 2008
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Which two of the following five physical parameters have the same dimensions ?

(1) energy density 

(2) refractive index 

(3) dielectric constant 

(4) Young's modulus 

(5) magnetic field 

1. 2 and 4

2. 3 and 5 

3. 1 and 4 

4. 1 and 5

Subtopic:  Dimensions |
 65%
From NCERT
NEET - 2008
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Consider the following equation of Bernoulli’s theorem-

P+12ρV2+ρgh=K(constant)

The dimensions of K/P are the same as that of which of the following?

(1) Thrust                         

(2) Pressure

(3) Angle                         

(4) Viscosity

Subtopic:  Dimensions |
 62%
From NCERT
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In an experiment four quantities a, b, c and d are measured with percentage error 1%,2%,3% and 4% respectively. Quantity P is calculated as follows P=a3b2/cd %, Error in P is

1. 14%

2. 10%

3. 7%

4. 4%

Subtopic:  Errors |
 84%
From NCERT
NEET - 2013
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If force (F), velocity (v) and time (T) are taken as fundamental units, then the dimensions of mass are

(1) [FvT-1]

(2) [FvT-2]

(3) [Fv-1T-1]

(4) [Fv-1T]

Subtopic:  Dimensions |
 63%
NEET - 2014
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If dimensions of critical velocity vc of a liquid flowing through a tube are expressed as [ηxρyrz]  , where η, ρ and r are the coefficient of viscosity of the liquid, the density of liquid and radius of the tube respectively, then the values of x,y and z are given by

1. 1, -1, -1

2. -1, -1, 1

3. -1, -1, -1

4. 1, 1, 1

Subtopic:  Dimensions |
 66%
From NCERT
NEET - 2015
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