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There is a concept that if unit of a phy...

There is a concept that if unit of a physical quantity is large then the multiplier of the unit becomes less while expressing any fixed magnitude. If in a new system of unit, unit of time is 0.5 second and the unit of length is 4 metre. Answer the following questions.
If unit of time is doubled, the unit of length is halved and unit of mass is increased by a factor n such that a particular force retains its value in both th system of units then the value of n is :

A

8

B

6

C

4

D

2

Text Solution

Verified by Experts

The correct Answer is:
a
Unit of force = kg `m s^(-2)`
Hence, according to given condition
`((nxxkgxxm)/(2xx4xxs^(2)))`
Hence, n should be 8.
So, that magnitude remains constant.
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