NEET Questions

The density of a substance is measured as $1.234 imes 10^2$ kg/m$^3$ using instruments with precisions of 2% and 5% for mass and volume respectively. What is the correct representation of the density including error?

Two students, A and B, measure the length of a table. Student A reports the length as $2.350 \pm 0.001$ m, and student B reports it as $2.35 \pm 0.01$ m. Which student's measurement is more precise, and what is the relative uncertainty in the more precise measurement?

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?

In a calorimeter experiment, a student incorrectly measures the initial temperature of the water to be higher than its actual value. How will this error affect the calculated specific heat capacity of the metal sample being studied?

In an experiment, the percentage errors in measuring physical quantities P, Q, R, and S are 1%, 2%, 3%, and 4%, respectively. If $X = \frac{P^3 Q^{1/2}}{R^{1/3} S^2}$, what is the maximum percentage error in the measurement of X?

The length, breadth, and height of a cuboid are measured with percentage errors of 1%, 2%, and 3%, respectively. What is the maximum percentage error in calculating its volume, given by $V = l imes b imes h$?

If the radius of a sphere is measured with a 2% error, what is the maximum percentage error in calculating its surface area, given by $A = 4\pi r^2$?

In an experiment to determine the acceleration due to gravity ($g$) using a simple pendulum, the length ($L$) of the pendulum is measured with a 1% error and the time period ($T$) is measured with a 2% error. What is the maximum percentage error in the calculated value of $g$, given by $g = \frac{4\pi^2 L}{T^2}$?

The quantities $u$, $v$, and $a$ are measured with percentage errors of 1%, 2%, and 3% respectively. What is the maximum percentage error in the calculation of $s$, where $s = ut + \frac{1}{2}at^2$, assuming $t$ is measured with no error?