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A unitless quantity...

A unitless quantity

A

Does not exist

B

Always has a nonzero dimension

C

Never has a nonzero dimension

D

May have a nonzero dimension

Text Solution

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The correct Answer is:
C
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In the following questions, a statement of assertion is followed by a statement of reason. Mark the correct choice as (a) If both assertion and reason are true and reason is the correct explanation of assertion. (b) If both assertion and reason are true but reason is not the correct explanation of assertion. (c ) If assertion is true but reason is false. (d) If assertion and reason are false. Q. Assertion: Strain is a unitless quantity. Reason: Strain is equivalent to force.

STATEMENT 1: Two quantities with different dimensions may have same unit. STATEMENT-2 Two quantities with different units may have same dimensions STATEMENT-3 Unitless quantities must be dimensionless too

The following is a unitless and dimensionless quantity

STATEMENT-1 A dimensionless quantity may have a unit STATEMENT-2 A constant may not be unitless.

A : Displacement gradient is a dimensionless quantity. R : Displacement is dimensionless quantity.

A dimensionless quantity

The dimensionless quantity is

A dimensionless quantity

ALLEN-PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT -EXERCISE-I DIMENSIONS
  1. The method of dimensional analysis can be used to derive which of the ...

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  2. Which of the following does not have the dimensior of force ?

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  3. Which of the following is incorrent statement

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  4. A dimensionless quantity

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  5. A unitless quantity

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  6. Which of the following is incorrect ?

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  7. Two physical quantities of which one is a vector and the other is a sc...

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  8. The equation of a wave is given by Y = A sin omega((x)/(v) -k) where...

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  9. The time dependence of a physical quantity P is given by P= P0 exp(-a...

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  10. The dimensional formula of angular velocity is

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  11. The equation of state of some gases can be expressed as (P+ (a)/(V^(2)...

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  12. A force F is given by F = at+ bt^(2) , where t is time. The dimensions...

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  13. If the energy, E = G^p h^q c^r, where G is the universal gravitational...

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  14. Match list I with II and select the correct answer :

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  15. Which of the following pairs does not have similar dimensions ?

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  16. The dimensions of torque are :

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  17. Using mass (M), length (L), time (T) and current (A) as fundamental q...

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  18. Dimensions of relative density is

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  19. The dimensions of universal gravitational constant are :-

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  20. If dimensions of A and B are different, then which of the following op...

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