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Units and dimensions JEE Analysis, Weightage and Overview

Questions are rarely asked from this chapter. Over the past 10 years, only two questions have been asked. However, dimension analysis is a useful tool to remove options by the process of elimination. It is a fairly simple chapter and thus should be undertaken by every aspirant.

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List of important topics in Units and dimensions JEE

  • Vernier caliper and screw gauge.
  • Error (absolute, percentage, relative)
  • Addition, subtraction, multiplication and division of errors.
  • Least count calculation of any instrument.

Units and dimensions JEE Syllabus

  • PHYSICS AND MEASUREMENT Physics, technology and society, S I Units, fundamental and derived units, least count Accuracy and precision of measuring instruments, Errors in measurement Dimensions of Physics quantities, dimensional analysis and its applications

Download Units and dimensions Notes

1-Units and dimensions Download

Units and dimensions JEE Test Series 2022,2023,2024

Paper set 1 Download Questions Download Solutions

 

Practice Units and dimensions JEE Questions with solutions

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Q.

Suppose refractive index  is given as

Where  and  are constant and  is wavelength, then dimensions of  are same as that of

Q.

If force , acceleration , and time  are taken as the fundamental physical quantities, the dimensions of length on this system of units are

Q.

If  and  stand for distance, then for what value of  is the given equation dimensionally correct? The  equation is

Q.

Given that  stands for time period and  stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation  is correct?

Q. The force F acting on a particle in terms of time t and distance x is given by F = (A cos Bx) (C sin Dt), what are the dimensions of AC and DB? I have considered Bx and Dt to be dimensionless, what should i do??

F=A cosBx+C sinDt
the argument, θ of cos or sin should be dimensionless. therefore,
dimension of Bx = [MLT]
[B][L′]=[MLT]
[B]=[ML0T]
Similarly [D][T′]=[MLT]
[D]=[MLT0 dimension of DB=[ML0T][MLT0]​ = [L1T−1]

Q. Why is current fundamental thought it is derived from charge and time??

Since we can measure current directly with amemeter so it is the fundamental quantity though it comes due to flow of charge per unit time. ... Current is defined by charge: Amp = Coulomb/second, where Coulomb is the unit of charge

Q. What is the difference between force and moment of force?

The Moment of a force is a measure of its tendency to cause a body to rotate about a specific point or axis.

force is measure of tendancy to cause a body to translate

Q. What is the simple meaning of torque?

The Moment of a force or torque is a measure of its tendency to cause a body to rotate about a specific point or axis.