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UPSC NDA I 2019 General Ability Solved Paper

Question : 113 of 150

Marks: +1, -0

1 dyne (a unit of force in CGS system) equals to

Solution:

Concept:

Dyne is the unit of force in the CGS system, and Newton is the SI unit of force.

They are related as

1 \text{ N} = 10^5 \text{ dyne}

Explanation:

First, write the definitions:

1 \text{ dyne} = 1 \text{ g cm/s}^2

and

1 \text{ N} = 1 \text{ kg m/s}^2

Now convert the units:

1 \text{ kg} = 1000 \text{ g}

and

1 \text{ m} = 100 \text{ cm}

Substitute:

1 \text{ N} = (1000 \text{ g}) \times (100 \text{ cm/s}^2) = 10^5 \text{ g cm/s}^2 = 10^5 \text{ dyne}

Thus,

1 \text{ dyne} = 10^{-5} \text{ N}

Since

1 \text{ N} = 1 \text{ kg m/s}^2

, we get

1 \text{ dyne} = 10^{-5} \text{ kg m/s}^2

Answer:

1 \text{ dyne} = 10^{-5} \text{ kg m/s}^2

, which corresponds to option D.

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