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JEE Units and Dimensions PYQs with Solutions

8 previous year questions from Units and Dimensions (JEE Main & Advanced NSEP) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

8 questionsNSEPAnswers + solutions

About Units and Dimensions PYQs

Units and Dimensions has 8 previous year questions in the Quantrex Academy JEE Main & Advanced NSEP bank. The 8 questions in this list come from Olympiad workbook (8). Each question opens on its own page with the options, the correct answer and the worked solution where available.

Units and Dimensions questions with solutions

1

A quantity α is defined as α=e^2 / 4 π ε_0 c ℏ , where e is electric charge, ℏ=h / 2 π is the reduced Planck's constant and c is the speed of light. The dimensions of α are

Olympiad workbook Solution
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2

A student performs an experiment with a simple pendulum and records the time for 20 oscillations. If he would have recorded time for 100 oscillations, the error in the measurement

Olympiad workbook Solution
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3

In a spectrometer the smallest main scale division is (1)/(3) of a degree. The total number of divisions on the vernier scale attached to the main scale is 60 which coincide with

Olympiad workbook Solution
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4

Consider a relation connecting three physical quantities A, B and C given by A=B^n C^m . The dimensions of A, B and C are [LT], [L^2 ~T^ -1 ] and [LT^2] respectively. Therefore

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5

Consider the following physical expressions (I) ρ v^2(ρ : density, v: velocity ) (II) Y Δ L L (Y: Young's modulus, L: length) (III) (σ^2)/(ε_0) ( σ : surface density of charge)

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6

Which of the following physical quantities have dimensions identical to each other?

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7

If speed of light c , Planck's constant h and gravitational constant G are chosen as fundamental quantities, dimensions of time in this system of units is

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8

If Pascal (Pa) , the unit of pressure volt (V) , the unit of potential and meter (L) , the unit of length are taken as fundamental units, the dimensional formula for the

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Main Units and Dimensions list

The larger JEE Units and Dimensions list is under Physics (364 questions).

Related JEE NSEP chapters

Units and Dimensions in other exams