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# Class XI Physics Unit, Dimensions and Errors 4

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Question 1

The percentage errors in quantities P, Q, R and S are 0.5%, 1%, 3% and 1.5% respectively in the measurement of a physical quantity

The maximum percentage error in the value of A will be :

The maximum percentage error in the value of A will be :

Question 2

There are two Vernier calipers both of which have 1 cm divided into 10 equal divisions on the main scale. The Vernier scale of one of the calipers (C

_{1}) has 10 equal divisions that correspond to 9 main scale divisions. The Vernier scale of the other caliper (C_{2}) has 10 equal divisions that correspond to 11 main scale divisions. The readings of the two calipers are shown in the figure. The measured values (in cm) by calipers C_{1}and C_{2}, respectively, areQuestion 3

In Vernier callipers, m divisions of main scale coincide with (m + 1) divisions of Vernier scale. If each division of main scale is d units, the least count of the instrument is

Question 4

In a new system of units, the fundamental quantities mass, length and time are replaced by acceleration (a), density (ρ), and frequency (f). The dimensional formula for force in this system is

Question 5

A student performs an experiment to determine the Young's modulus of a wire, exactly 2 m long, by Searle's method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of ± 0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainty of ± 0.01 mm. Take g = 9.8 m/s

^{2}(exact). The Young's modulus obtained from the reading isQuestion 6

Vernier callipers has 20 divisions on its Vernier scale which coincide with 19 divisions on the main scale. Least count of the instrument is 0.1mm. The main scale division is

Question 7

A student performs an experiment for determination of The error in length is Δ and in time T is ΔT and n is number of times the reading is taken. The measurement of g is most accurate for

Question 8

A physical quantity A is dependent on other four physical quantities p, q, r and s as given below The percentage error of measurement in p, q, r and s are 1%, 3%, 0.5% and 0.33% respectively, then the maximum percentage error in A is

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JEE & BITSATPhysicsApr 4JEE & BITSAT

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Avinash KumarMember since Feb 2017

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