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There is an unknown quantity x=R(l)/(100...

There is an unknown quantity `x=R(l)/(100-l)`, here l is length (in cm) measured using a scale having least count of 1 cm and R is a quantity known accurately. Find the percentage error in measurement of x for `l=50cm`?

A

`1%`

B

`6%`

C

`2%`

D

`4%`

Text Solution

Verified by Experts

The correct Answer is:
D
`x=R(l)/(100-l)`
`(Deltax)/(x)=(Deltal)/(l) +(Deltal)/(100-l)`
`(Delta x)/(x) xx 100 =((1)/(50) +(1)/(50)) xx 100=4%`
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