NEET Physics Units And Measurement Percentage Error MCQs

A student measures the length of a pendulum as 1.05 m with a meter scale having a least count of 1 mm. The student then measures the time period of the pendulum with a stopwatch having a least count of 0.1 s and obtains an average value of 2.04 s after 20 oscillations. What is the percentage error in the determination of acceleration due to gravity ($g = 4\pi^2\frac{l}{T^2}$) ?

The radius of a sphere is measured to be (5.3 ± 0.1) cm. The percentage error in the measurement of its volume is closest to:

If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume of the sphere will be:

The length and breadth of a rectangular sheet are measured to be 10.2 cm and 5.1 cm, respectively, using a meter scale with a least count of 0.1 cm. The percentage error in the calculated area of the sheet is closest to:

A physical quantity $P$ is related to four observables $a$, $b$, $c$, and $d$ as follows: $P = a^3b^2/\sqrt{c}d$. The percentage errors of measurement in $a$, $b$, $c$, and $d$ are 1%, 3%, 4%, and 2%, respectively. What is the percentage error in the quantity $P$?

In an experiment to determine the acceleration due to gravity ($g$) using a simple pendulum, the length ($L$) of the pendulum is measured as 98.1 cm with a least count of 1 mm, and the time period ($T$) for 20 oscillations is measured as 40.2 s with a least count of 0.1 s. What is the fractional error in the calculated value of $g$? (Use $g = 4\pi^2L/T^2$)

A student measures the length of a pencil to be 15.2 cm using a ruler with a least count of 0.1 cm. What is the percentage error in this measurement?

The mass of a body is measured as 5.0 kg with an error of 0.1 kg. What is the percentage error in the measurement?

If the percentage error in measuring the radius of a sphere is 3%, what is the percentage error in calculating its volume?

A student measures the time taken for a pendulum to complete 20 oscillations as 40 seconds with a stopwatch accurate to 0.1 seconds. What is the percentage error in the measurement of the time period of one oscillation?