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If the dimensions of a physical quantit...

If the dimensions of a physical quantity are given by `M^(a)L^(b)T^(c)`, then the physical quantity will be :

A

`"velocity if "a-1, b-0, c-1`

B

`"accelerationn if "a=1, b=1, c=-2`

C

`"force if "a=0, b=-1, c=-2`

D

`"pressure if "a =1, b=-2, c=-2`

Text Solution

Verified by Experts

The correct Answer is:
D
`"Pressure"=(MLT^(-2))/(L^(2))=[ML^(-1)T^(-2)]`
`rArr" "a=1, b=-1, c=-2.`
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DISHA PUBLICATION-PHYSICAL WORLD, UNITS AND MEASUREMENTS-Exercise - 1 : Concept Builder (Topicwise)(Topic 3 : Dimensions of Physical Quantities)
  1. Which physical quantities have the same dimension?

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  2. The dimensions of physical quantity X in the equation Force =(X)/("Den...

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  3. Which of the following units denotes the dimension (ML^(2))/(Q^(2)), w...

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  4. Which of the following has the same dimensions?

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  5. The dimensions of voltage in terms of mass (M), length (L) and time (T...

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  6. If L denotes the inductance of an inductor through which a current i i...

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  7. Whether a given relation / formula is correct or not can be checked on...

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  8. If p=(RT)/(V-b)e^(-alphaV//RT) , then dimensional formula of alpha is ...

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  9. Time (T), velocity (3) and angular momentum (h) are chosen as fundamen...

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  10. suppose the kinetic energy of a body oscillating with amplitude A and ...

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  11. The dimensions of universal gas constant is

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  12. The velocity v of a particle at time t is given by v=at+b/(t+c), where...

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  13. In the formula X = 3Y Z^(2) , X and Z have dimensions of capacitance...

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  14. The frequency f of vibrations of a mass m suspended from a spring of s...

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  15. If the dimensions of a physical quantity are given by M^(a)L^(b)T^(c)...

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  16. If the time period t of the oscillation of a drop of liquid of density...

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  17. Given as : h=(2 S cos theta)/(r rhog) where S is the surface tension o...

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  18. The volume V of water passing and any point of a uniform tube during t...

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  19. Given that in (alpha//pbeta )=alphaz//K(B)theta where p is pressure, z...

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  20. The position x of a particle at time t is given by x=(V(0))/(a)(1-e^(-...

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