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Question

If the units of length and force are increased four times each, the unit of energy is increased


A

4 times

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B

16 times

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C

8 times

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D

no increase

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Solution

The correct option is B

16 times


Step 1: Given data

Units of length and force are increased four times each.

Step 2: To find

The increase in the unit of energy.

Step 3: Calculation

Unit of energy=kgm2s-2

Unit of force=kgms-2

Unit of length=m

Unit of energy in terms of a unit of force and length=kgms-2×m

If the units force and length are increased four times,

The new unit of force=4kgms-2

The new unit of length=4m

So, the new unit of energy=4kgms-2×4m=16kgm2s-2

The new unit of energy is 16 times the initial unit of energy.

So, the unit of energy is increased 16 times.

Hence, option B is correct.


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