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Units and Dimensions — JEE Main & Advanced NSEP PYQs

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

8 questionsNSEPSolutions on every page
1

A quantity is defined as =e^2 / 4 ₀ c , where e is electric charge, =h / 2 is the reduced Planck's constant and c is the speed of light. The dimensions of are

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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

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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 the 5

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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. Therefo

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5

Consider the following physical expressions (I) v^2( : density, v: velocity ) (II) Y L L (Y: Young's modulus, L: length) (III) ^2 ₀ ( : surface density of charge) (IV) h r ( h : ri

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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 perm

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