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In a new system of units 1 unit mass is ...

In a new system of units 1 unit mass is `4 kg`, 1 unit length is 3 meters and 1 unit time is 2 seconds. Now find x such that 1unit force in new system becomes x newton.

A

3

B

4

C

8

D

6

Text Solution

Verified by Experts

The correct Answer is:
A
`[F] = MLT^(-2)`
In new system
`1 "unit force" = ((1 "unit mass") (1 "unit length"))/((1 "unit time")^(2))`
`= ((4 kg)(3m))/((2 sec)^(2)) = 3 N`
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