Which one of the following does not have the same dimensions

(1) Work and energy

(2) Angle and strain

(3) Relative density and refractive index

(4) Planck constant and energy

Subtopic:  Dimensions |
 74%
From NCERT
PMT - 1985
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Which one has the dimensions different from the remaining three

(1) Power

(2) Work

(3) Torque

(4) Energy

Subtopic:  Dimensions |
 79%
From NCERT
PMT - 1988
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A small steel ball of radius r is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity η. After some time the velocity of the ball attains a constant value known as terminal velocity vT. The terminal velocity depends on (i) the mass of the ball m, (ii) η, (iii) r and (iv) acceleration due to gravity g. Which of the following relations is dimensionally correct?

1. vTmgηr

2. vTηrmg

3. vTηrmg

4. vTmgrη 

Subtopic:  Dimensions |
 55%
From NCERT
PMT - 1992
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The quantity X=ε0LVt; ε0 is the permittivity of free space, is length, V is the potential difference and t is time. The dimensions of X are the same as that of:

1. Resistance

2. Charge

3. Voltage

4. Current

Subtopic:  Dimensions |
 53%
From NCERT
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μ0 and ε0 denote the permeability and permittivity of free space, the dimensions of μ0ε0 are:

(1) LT1

(2) L2T2

(3) M1L3Q2T2

(4) M1L3I2T2

Subtopic:  Dimensions |
 67%
From NCERT
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The expression [ML2T2] represents

(1) Pressure

(2) Kinetic energy

(3) Momentum

(4) Power

Subtopic:  Dimensions |
 84%
From NCERT
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The dimensions of physical quantity X in the equation Force =XDensity is given by 

(1) M1L4T2

(2) M2L2T1

(3) M2L2T2

(4) M1L2T1

Subtopic:  Dimensions |
 78%
From NCERT
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The dimensions of CV2 matches with the dimensions of 

(1) L2I

(2) L2I 2

(3) LI2

(4) 1LI

Subtopic:  Dimensions |
 77%
From NCERT
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The Martians use force (F), acceleration (A) and time (T) as their fundamental physical quantities. The dimensions of length on Martians system are 

(1) [FT2]

(2) [F1T2]

(3) [F1A2T1]

(4) [AT2]

Subtopic:  Dimensions |
 71%
From NCERT
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The dimension of 1ε0μ0 is that of 

(1) Velocity

(2) Time

(3) Capacitance

(4) Distance

Subtopic:  Dimensions |
 76%
From NCERT
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