A physical quantity of the dimensions of length that can be formed out of c, G and e24πεο is [c is the velocity of light, G is the universal constant of gravitation and e is charge]

(a) 1c2Ge24πεo12

(b) c2Ge24πεo12

(c) 1c2e2G4πεo12

(d) 1cGe24πε0

Subtopic:  Dimensions |
 55%
From NCERT
NEET - 2017
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Planck's constant (h),speed of light in vacuum (c) and Newton's gravitational constant (G) are three fundamental constants. Which of the following combinations of these has the dimensions of length?

(1) hGc3/2

(2) hGc5/2

(3) hcG

(4)Gch3/2

Subtopic:  Dimensions |
 57%
From NCERT
NEET - 2016
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If energy (E), velocity (v) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be

(1) Ev-2T-1

(2) [Ev-1T-2]

(3) Ev-2T-2

(4) [E-2v-1T-3]
 

Subtopic:  Dimensions |
 61%
From NCERT
NEET - 2015
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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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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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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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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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