Revision Quiz | Unit, Dimension and Errors for JEE & BITSAT Exams

Question 1

A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90s, 91s, 95 s and 92 s. If The minimum division in the measuring clock is 1s, then the reported mean time should be :

Question 2

A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of Aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the 45^th division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet if the main scale reading is 0.5 mm and the 25^th division coincides with the main scale line?

Question 3

The diameter of a steel ball is measured using a Vernier calliper which has divisions of 0.1 cm on its main scale (MS) and 10 divisions of its Vernier scale (VS) match 9 divisions on the main scale. Three such measurements for a ball are given as

If the zero error is -0.03 cm, then mean corrected diameter is:

Question 4

The period of oscillation of simple pendulum is

. Measured value of L is 20.0 cm known to
1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of 1s resolution. The accuracy in the determination of g is

Question 5

A spectrometer gives the following reading when used to measure the angle of a prism.
Main scale reading: 58.5 degree
Vernier scale reading: 09 divisions
Given that 1 division on the main scale corresponds to 0.5 degree. Total divisions on the vernier scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the above data

Question 6

The volume of one sphere is 1.76 c.c. The volume of 25 such spheres (according to the idea of significant figures) is -

Question 7

In a screw gauge, there are 100 divisions in circular scale, and each main scale division is of 1 mm, length. When there is no gap between the jaws, 97th division coincides with the main scale zero and zero of the main scale is not visible. While measuring the diameter of a ball, the circular scale is between 3 cm mark and 4 cm mark such that the 76th division of circular scale coincides with the reference line. Select the correct alternative

Question 8

An experiment is performed to obtain the value of acceleration due to gravity g by using a simple pendulum of length L. In this experiment time for 100 oscillations is measured by using a watch of 1 second least count and the value is 90.0 seconds. The length L is measured by using a meter scale of least count 1 mm and the value is 20.0 cm. The error in the determination of g would be:

Question 9

In an experiment lab, students measure the total energy of a pendulum in simple harmonic motion. If to measure the angular frequency, amplitude, and mass of bob the maximum error is