An experiment measures quantities x, y, z and then t is calculated from the data as t =
. If percentage errors in x, y and z are respectively 1%, 3%, 2%, then maximum percentage error in t is :
Text Solution
Verified by ExpertsThe correct answer is:
D



t = 
=
+
+ 
= 10 –2 + 2 × 3 × 10 –2 + 3 × 2 × 10 –2
= 13 × 10 –2
∴ % in t =
× 100 = 13%
= 13 × 10 –2
∴ % = t =
× 100 = 13%
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The period of oscillation of a simple pendulum is given by where l is about 100 cm and is known to…
The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much wil…
The random error in the arithmetic mean of 100 observations is x ; then random error in the arithme…
Error in the measurement of radius of a sphere is 1%. The error in the calculated value of its volu…
The mean time period of second 's pendulum is 2.00 s and mean absolute error in the time period is …
A body travels uniformly a distance of (13.8 ± ± 0.2) m in a time (4.0 ± ± 0.3) s. The velocity of …