Units, Dimensions & Measurements: JEE Main Physics Previous Year Questions

294 previous year questions from Units, Dimensions & Measurements. Here are the 25 most important ones; open any question for the correct answer and a full step-by-step solution.

1. 1.A certain vector in the $\text{yz}$ plane has a $y$-component of $12m$ and a $z$-component of $8m$. It is then rotated in the $\text{yz}$ plane so tha…
2. 2.The dimensions of torque are same as that of
3. 3.Match List-I with List-II (matching question)
4. 4.What is the dimension of $\frac{1}{{\mu }_0{ϵ}_0}$ ? ( ${\mu }_0=$ magnetic permeability and ${ϵ}_0=$ permittivity of free space)
5. 5.Which of the following pairs has same dimensions?
6. 6.Match List-I with List-II (matching question)
7. 7.If and represents the intensity of electric field and magnetising field respectively, then the unit of E/H will be :
8. 8.An equation is given here $\text{(}P+\frac{a}{V^2}\text{)}=b\frac{\Theta }{V}$ where $P=$ Pressure, $V=$ Volume and $\Theta =$ Absolute temperature. If $a$ and…
9. 9.Expression for time in terms of $G$ (universal gravitational constant), $h$ (Planck constant) and $c$ (speed of light) isproportional to:
10. 10.The electric flux is $\phi =\text{ασ}+\text{βλ}$ where $\lambda$ and $\sigma$ are linear and surface charge density, respectively.…
11. 11.If 50 Vernier divisions are equal to 49 main scal divisions of a travelling microscope and on smallest reading of main scale is $0.5\text{mm}$, th Vernier constan…
12. 12.The pair of quantities having same dimensions is
13. 13.$10$ divisions on the main scale of a Vernier calliper coincide with 11 divisions on the Vernier scale. If each division on the main scale is of 5 units, the least count…
14. 14.A force between two protons is same as the force between proton and neutron. The nature of the force is
15. 15.A student measured the diameter of a small steel ball using a screw gauge of least count 0.001 cm. The main scale reading is 5 mm and zero of circular scale division coin…
16. 16.The dimensions $\left({\text{MLT}}^{-2}{A}^{-2}\right)$ ] belong to the [NEET 2022]
17. 17.Match List-I with List-II (matching question)
18. 18.The pair of physical quantities not having same dimensions is :
19. 19.Given a charge $q$, current I and permeability of vacuum ${\mu }_{o^{\ast }}$. Which of the following quantity has the dimension of momentum?
20. 20.The dimensional formula of magnetic flux is
21. 21.The dimensions of Planck’s constant equals to that of
22. 22.The angle of 1 (minute of arc) in radian is nearly equal to [NEET 2020]
23. 23.A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings $5.50\text{mm}$,…
24. 24.A torque meter is calibrated to reference standards of mass, length and time each with 5% accuracy. After calibration, the measured torque with this torque meter will hav…
25. 25.In an experiment, a set of reading are obtained as follows - $1.24\text{mm}\text{,}1.25\text{mm}\text{,}1.23\text{mm}\text{,}1.21\text{mm}$.…