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Dimensional Analysis

Question

$[M^{1} L^{2} T^{- 3}]$ are the dimensions of ....
power
pressure
force
work

A

pressure

B

force

C

work

D

power

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Solution

Verified by Toppr

$P o w e r = \frac{W o r k}{T i m e} = \frac{M^{1} L^{2} T^{- 2}}{T} = M^{1} L^{2} T^{- 3}$

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[M^{1} L^{2} T^{- 3}]

are the dimensions of ....

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Q2

Assertion :The dimensional formula of surface energy is

[M^{1} L^{2} T^{- 2}]

Reason: Surface energy has same dimensions as that of potential energy

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Q3

Match the following.

	List I		List II
A.	Angular momentum	1.	$[M^{- 1} L^{2} T^{- 2}]$
B.	Torque	2.	$[M^{1} T^{- 2}]$
C.	Gravitational constant	3.	$[M^{1} L^{2} T^{- 2}]$
D.	Tension	4.	$M^{1} L^{2} T^{- 1}]$

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Q4

The unit of an electrical parameter whose formula is

[M^{1} L^{2} T^{- 3} A^{- 2}]

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Q5

If velocity is given as

v = α - β x

, then dimensional formula of

β α^{2}

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