Courses
Courses for Kids
Free study material
Offline Centres
More
Store

# The length of one rod is $l_1 = 3.323\,cm$ and the other is $l_2 = 3.321\,cm$. Both rods were measured with one measuring instrument with a least count of 0.001 cm. Then $\left( {{l_1} - {l_2}} \right)$ is

Last updated date: 23rd Jul 2024
Total views: 63.6k
Views today: 0.63k
Verified
63.6k+ views

Hint: The lengths of the rods with the least count is found and then subtracted.

Least count of an instrument is the minimum value that we can measure with that instrument.

Length of rod one = $l_1 = (3.323 \pm 0.001)\;cm$

Length of rod two = $l_1 = (3.321 \pm 0.001)\;cm$

Here $\pm 0.001$ is added because of the least count of the instrument.

We have to find the value of $l_1 - l_2$

We also know that the errors always add up, so we get,

$\Rightarrow l_1 - l_2 = (3.323 \pm 0.001) - (3.321 \pm 0.001) = (0.002 \pm 0.002)\;cm$

Note: In such problems, one must be careful while considering the least count and other types of errors. The basic concepts should be clear. Mistakes can be avoided while subtracting and one must consider that the errors will add up.