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The physical quantity which has dimensional formula as that of Energy/mass x length is
- a)Force
- b)Power
- c)Pressure
- d)Acceleration
Correct answer is option 'D'. Can you explain this answer?
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Explanation:
Dimensional formula is used to express a physical quantity in terms of its base units. The given dimensional formula is Energy/mass x length. Let's break it down:
- Energy has the dimensional formula [M L2 T-2], where M is mass, L is length, and T is time.
- Mass has the dimensional formula [M].
- Length has the dimensional formula [L].
Now, substituting the dimensional formula of energy, mass, and length in the given formula, we get:
Energy/mass x length = [M L2 T-2]/[M][L] = [L T-2]
So the given dimensional formula is of [L T-2]. Let's match it with the options given:
A) Force has the dimensional formula [M L T-2]
B) Power has the dimensional formula [M L2 T-3]
C) Pressure has the dimensional formula [M L-1 T-2]
D) Acceleration has the dimensional formula [L T-2]
We can see that option D matches the given dimensional formula. Therefore, the correct answer is option D - Acceleration.
Dimensional formula is used to express a physical quantity in terms of its base units. The given dimensional formula is Energy/mass x length. Let's break it down:
- Energy has the dimensional formula [M L2 T-2], where M is mass, L is length, and T is time.
- Mass has the dimensional formula [M].
- Length has the dimensional formula [L].
Now, substituting the dimensional formula of energy, mass, and length in the given formula, we get:
Energy/mass x length = [M L2 T-2]/[M][L] = [L T-2]
So the given dimensional formula is of [L T-2]. Let's match it with the options given:
A) Force has the dimensional formula [M L T-2]
B) Power has the dimensional formula [M L2 T-3]
C) Pressure has the dimensional formula [M L-1 T-2]
D) Acceleration has the dimensional formula [L T-2]
We can see that option D matches the given dimensional formula. Therefore, the correct answer is option D - Acceleration.
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The physical quantity which has dimensional formula as that of Energy/mass x length isa)Forceb)Powerc)Pressured)AccelerationCorrect answer is option 'D'. Can you explain this answer?
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