Class XI Physics Units and Dimensions 1 for JEE & BITSAT Exams

Question 1

The formula S = ut – at² where S is the distance travelled, u is the initial velocity, a is the acceleration and t is the time is -

Question 2

A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it?

Question 3

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 4

One centimeter on the main scale of a vernier calipers is divided into 10 equal parts. If 10 divisions of vernier coincide with 8 small division of the main scale, the least count of calipers is

Question 5

Read the following statements
(i) 12300 has only 3 significant digits
(ii) 1.2300 × 10⁴ has only 5 significant digits
(iii) 0.012300 × 10⁶ has only 3 significant digits
(iv) all trailing zeroes are non significant digits
Correct statements are

Question 6

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 7

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 8

Match List – I (Event) with List – II (Order of the time interval for happening of the event) and select the correct option from the options given below the lists.

Question 9

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 10

In an experiment the angles are required to be measured using an instrument 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half–a–degree (= 0.5 º), then the least count of the instrument is: