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A unitless quantity...

A unitless quantity

A

never has a nonzero dimension

B

always has a nonzero dimension

C

may have a nonzero dimension

D

does not exit

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The correct Answer is:
A
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The following is a unitless and dimensionless quantity

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

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MOTION-UNITS AND DIMENSIONS, BASIC MATHEMATICS -Exercise - 1 (Objective Problems) (SECTION - B : Dimension and use of dimensions )
  1. What is the dimension of time in power ?

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  2. A dimensionless quantity

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  3. A unitless quantity

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  4. The dimension of universal gravitational constant are

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  5. The SI unit of Stefan's constant is :

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  6. What are the dimensions of Boltzmann's constant?

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  7. Plancks' constant has the dimensions of

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  8. Which pair of following quantities has dimensions different from each ...

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  9. A pair of physical quantities having the same dimensional formula are

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  10. The product of energy and time is called action. Therefore dimensional...

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  11. Dimensions of pressure are same as that of

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  12. Name the physical quantites having dimensions [M^1 L^2 T^(-2)].

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  13. Which one of the following has the dimensions of ML^(–1)T^(–2) ?

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  14. If area (A) velocity (v) and density (rho) are base units, then the di...

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  15. If alpha=F/v^(2) sin beta t, find dimensions of alpha and beta. Here v...

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  16. Given that v is speed, r is the radius and g is the acceleration due t...

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  17. If E,M,J and G respectively denote energy , mass angular momentum ...

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  18. The velocity of a freely falling body changes as g^ph^qwhere g is acce...

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  19. If a and b are two physical quantities having different dimensions the...

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  20. Two physical quantities whose dimensions are not same, cannot be :

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