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Dimensional Analysis

If the unit o...

Question

If the unit of length is quadrupled and that of force is doubled, the unit of power increases to ___times.

A

8

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B

4

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C

2

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D

16

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Solution

The correct option is A 8
Power $= F \times L T$
$F^{1} = 2 F$
$L^{1} + 4 L$

Hence, new power $= (2 F) (4 L) \times T$
$= 8 F L T$
$= 8 \times p o w e r$

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