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70. What will be the value of a force of 100 {~N} in a system

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70. What will be the value of a force of $100 N$ in a system having metre, kilogram and minute as fundamental units? 71. If the units of force, energy and velqcity $are 10 N$ $100 J$ and $5 ms^{- 1}$ respectively, then obtain the un of length, mass and time.

Name: Video solution 1: 70. What will be the value of a force of 100 N in a system having metre, kilogram and minute as fundamental units? 71. If the units of force, energy and velqcity are10 N 100 J and 5 ms−1 respectively, then obtain the un of length, mass and time.
Uploaded: 2022-08-06T11:36:35.000Z
Duration: 16 min
Description: Video solution 1: 70. What will be the value of a force of 100 N in a system having metre, kilogram and minute as fundamental units? 71. If the units of force, energy and velqcity are10 N 100 J and 5 ms−1 respectively, then obtain the un of length, mass and time.

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Updated on: Aug 6, 2022

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Benjamin Discussed

70. What will be the value of a force of

100 N

in a system having metre, kilogram and minute as fundamental units? 71. If the units of force, energy and velqcity

are 10 N

100 J

and

5 ms^{- 1}

respectively, then obtain the un of length, mass and time.

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

The dimensional formula of force, energy and velocity are

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

and

[L T^{- 1}]

respectively.
Thus, we have

[M L T^{- 2}] = 10 N \dots .(i) [M L^{2} T^{- 2}] = 100 J \dots (ii) [L T^{- 1}] = 5 m / s \dots (iii)

Dividing eq (ii) by eq (i), we have

[L] = \frac{100}{10} = \frac{100}{10} = 10 m

Substituting the unit of

[L]

in eqn. (iii), we have

[T^{- 1}] = \frac{5}{[ L ]} = \frac{5}{10} [T] = \frac{10}{5} = 2 s

substituting the unitsof

[L]

and

[T]

in eqn. (i)
We have

[M] = \frac{10 N}{[ L ] [ T ^{- 2} ]} = \frac{10 N \times 4 s ^{2}}{10 m} = 4 k g

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Question Text	70. What will be the value of a force of $100 N$ in a system having metre, kilogram and minute as fundamental units? 71. If the units of force, energy and velqcity $are 10 N$ $100 J$ and $5 ms^{- 1}$ respectively, then obtain the un of length, mass and time.
Updated On	Aug 6, 2022
Topic	Modern Physics
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	103
Avg. Video Duration	16 min

70. What will be the value of a force of $100 N$ in a system having metre, kilogram and minute as fundamental units? 71. If the units of force, energy and velqcity $are 10 N$ $100 J$ and $5 ms^{- 1}$ respectively, then obtain the un of length, mass and time.

Text solutionVerified

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