Question

13. Length measured by a measuring instrument is
represented as I = (5.0 + 0.1) m, then length (l) is

(1) l< 0.1 m
(2) 4.9 m <_L<_ 5.1 m
(3) l> 5.1 m
(4) l< 4.9 m​

Answer 1

Answer:

question is given on ncert pg 24

Explanation:

given error = 0.1 and length = 5

so ,

max length = 5.1 m

min length = 4.9 m

hence ans is - option 2nd

Answer 2

Answer:

The possible length L would be $4.9 m \le L\le 5.1 m$.

Explanation:

Given, length measured by a measuring instrument is $L = (5.0 \pm 0.1) m$

[Given length is corrected to $\pm$]  

In the measurement of length L, the true value is 5.0 m

And error in the measurement is  $\pm 0.1 m$.

Measuring with error means the true value could be up to 0.1 m smaller or larger.  

The possible maximum length would be $L = 5.0 + 0.1 =5.1m$

And the possible minimum length would be $L = 5.0 - 0.1 =4.9m$

Therefore, the possible length L comes in between 4.9m and 5.1m

i.e., $4.9 m \le L\le 5.1 m$

Therefore, the correct answer is option 2.