Question

In a given measurement, if percentage error is 0.123, then relative error is 

a) 0.00213 units

b) 0.0123 units

c) 0.0213 units

d) 0.00123 units​

Answer 1

Answer:

( d ) 0.00123 units

Explanation:

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Answer 2

The relative error is 0.00123 units

Given :

In a given measurement percentage error is 0.123

To find :

The relative error is 

a) 0.00213 units

b) 0.0123 units

c) 0.0213 units

d) 0.00123 units

Formula :

$\boxed{ \: \: \displaystyle \sf{Relative \: error = \frac{ Percentage \: error }{100} } \: \: }$

Solution :

Step 1 of 2 :

Write down the given percentage error

Here it is given that in a measurement percentage error is 0.123

Step 2 of 2 :

Find the relative error

We know in a measurement

$\displaystyle \sf{Relative \: error = \frac{ Percentage \: error }{100} }$

Now percentage error is 0.123

Thus the required relative error is 

$\displaystyle \sf{ = \frac{ Percentage \: error }{100} } \: \: units$

$\displaystyle \sf{ = \frac{ 0.123 }{100} } \: \: units$

= 0.00123 units

Hence the correct option is d) 0.00123 units

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