Unit Dimension & Measurement & Vectors ( Jee Main Questions)

Unit Dimension & Measurement & Vectors( Jee Main Questions)

Jee Main Unit Dimension and Measurement & Vectors Previous Year Questions with Solutions
Physics JEE Mains Unit Dimension and Measurement & Vectors Previous Year Questions with Solutions

This article consists of Previous Year Questions of Physics from the chapters Unit Dimension and Measurement & Vectors. These questions provide an overview of the pattern of questions asked in Jee Mains which are very important . An efficient practice and consistent practice will develop more a grip on this chapter and topic . So, in order to have an effective grip , you can practice questions from the subject of Physics from the chapters Unit Dimension and Measurement & Vectors


 1. The physical quantities not having same dimensions are                       (2003)
      (A) torque and work

      (B) momentum and Planck's constant

      (C) stress and Young's modulus

(D) speed and (µoɛo)-1/2

Ans  (B)

2.Dimensions of 1/ µo ɛo where symbols have their usual meaning, are

                                                                                                                     (2003)

(A) [L-1T]

(B) [L-2T2]

(C) [L2T 2]

(D) [LT-1]

Ans  (C)

 3. If Ä€xB =BxÄ€, then the angle between A and B is                                     (2004)

(A) π

(B) π /3

(C) π /2

(D) π /4

Ans  (A)

4. Which one of the following represents the correct dimensions of the coefficient of viscosity?                                                                                                  (2004)

 (A) ML-1T-2

(B) MLT-1

(C) ML-1T-1

(D) ML-2T-2

Ans  (C)

5.  Out of the following pair, which one does NOT have identical dimensions is

  (2005)

(A) angular momentum and Planck's constant

(B) impulse and momentum

(C) moment of inertia and moment of a force

(D) work and torque

Ans  (C)

6. Which of the following units denotes the dimensions ML2/Q2, where Q denotes the electric charge?                                                                                (2006)

(A) Weber (Wb)

(B) Wb/m2

(C) Henry (H)

(D) H/m2

Ans  (C)

 7. The dimension of magnetic  field in M, L, T and C (Coulomb) is given as

(2008)

(A) MLT-1C-1                                                                          

(B) MT2C-2

(C) MT-1C-1

(D) MT-2C-1

Ans  (B)

 8. In an experiment the angles are required to be measuredusing an instrument. 29 divisions of the main scale exactly coincide with the30 division of the vernier scale. If the smallest division of the main scale is half-a-degree (=0.50), then the least count of the instrument is

                                                                                                                                  (2009)

 (A) one degree

(B) half degree

(C) one minute

(D) half minute

Ans  (C)

 9.The respective number of significant figures for the numbers 23.023, 0.0003 and 2.1 x 10-3 are (2010)

(A) 5, 1, 2

(B) 5, 1, 5

(C) 5, 5, 2

(D) 4, 4, 2

Ans  (A)

 10. The dimensions of angular momentum, latent heat and capacitance are, respectively.                                                                                              (2013)

(A) ML2T1A2,  L2T-2,  M-1L-2T2

(B) MLT2,  L2T2,  M-1L-2T4A2

 (C) ML2T-1, L2T-2,  ML2TA2

(D) ML2T-1,  L2T-2,  M-1L-2T4 A2

Ans  (D)


11. Let [É›o]denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then:                                                  (2013)

(A) [ɛo] = [M-1L-3T4A2]

(B) [ɛo] = [M-1L2T-1A-2]

(C) [ɛo] = [M -1L2T-1A]

(D) [ɛo] = [M-1L-3T2A]

Ans  (A)

12. In terms of resistance R and time T, the dimensions of ratio µ / É› of the permeability µ and permittivity ϵ  is                                                              (2014)                                             

(A) [R2T2]

(B) [RT-2]

 (C) [R2T-1']

(D) [R2]

Ans  (D)

13. If the capacitance of a nano-capacitor is measured in terms of a unit 'u' made by combining the electronic charge 'e', Bohr radius 'ao', Plank's constant 'h' and speed of light 'c' then :                                                                                 (2015)

 (A) u = e2c/hao

(B) u =hc /e2ao

(C) u= e2ao /hc

(D) u= e2h/c ao

Ans  (C)

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