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Units and Measurements

JEE Main 2025 (Online) 2nd April Morning ShiftMatchingEasy📈 Topic in 55% papers+4−1
Ques. 1JEE Main 2025, 2 April (Morning Shift)

Match List I with List II. Choose the correct answer from the options given below:

  1. (A)-(II), (B)-(III), (C)-(IV), (D)-(I)
  2. (A)-(IV), (B)-(II), (C)-(I), (D)-(III)
  3. (A)-(IV), (B)-(I), (C)-(II), (D)-(III)
  4. (A)-(I), (B)-(IV), (C)-(III), (D)-(II)

Answer

(3) (A)-(IV), (B)-(I), (C)-(II), (D)-(III)

Solution

(A) F = A dvdx = FA(dv/dx) = [ MLT-2][L2][ T-1] = [ ML-1T-1] → (IV)

(B) Intensity = PowerArea = [ ML2T-3][L2] = [ ML0T-3] → (I)

(C) Pressure gradient = dPdx = [ ML-1T-2][L] = [ ML-2T-2] → (II)

(D) Compressibility = 1B = 1[ ML-1T-2] = [ M-1LT2] → (III)

(A)-(IV), (B)-(I), (C)-(II), (D)-(III)

Answer: (3)

Keep practising — Units and Measurements

Ques. 2JEE Main 2025, 2 April (Morning Shift)

The equation for real gas is given by (P + aV2 )(V - b) = RT, where P, V, T and R are the pressure, volume, temperature and gas constant, respectively. The dimension of ab-2 is equivalent to that of :

  1. Compressibility
  2. Planck's constant
  3. Energy density
  4. Strain
Ques. 3JEE Main 2025, 2 April (Evening Shift)

If 0 and 0 are the permeability and permittivity of free space, respectively, then the dimension of ( 1 0 0 ) is :

  1. T2/L
  2. L2/T2
  3. T2/L2
  4. L/T2
Ques. 4JEE Main 2025, 2 April (Evening Shift)

Given a charge q, current I and permeability of vacuum 0. Which of the following quantity has the dimension of momentum ?

  1. qI/ 0
  2. q2 0 I
  3. q 0/I
  4. q 0 I
Ques. 5JEE Main 2025, 29 January (Morning Shift)

The pair of physical quantities not having the same dimensions is :

  1. Angular momentum and Planck's constant
  2. Torque and energy
  3. Surface tension and impulse
  4. Pressure and Young's modulus
Ques. 6JEE Main 2025, 29 January (Morning Shift)

The expression given below shows the variation of velocity (v) with time (t), v = At2 + BtC + t. The dimension of ABC is :

  1. [ M0L1T-2]
  2. [ M0L2T-3]
  3. [ M0L2T-2]
  4. [ M0L1T-3]
Ques. 7JEE Main 2025, 29 January (Evening Shift)

Match List - I with List - II. Choose the correct answer from the options given below :

  1. (A)-(I), (B)-(III), (C)-(II), (D)-(IV)
  2. (A)-(IV), (B)-(II), (C)-(III), (D)-(I)
  3. (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
  4. (A)-(II), (B)-(IV), (C)-(I), (D)-(III)
Ques. 8JEE Main 2025, 29 January (Evening Shift)

A physical quantity Q is related to four observables a, b, c, d as follows : Q= ab4cd where, a=(60 3) Pa; b=(20 0.1) m; c=(40 0.2) N s m-2 and d=(50 0.1) m, then the percentage error in Q is x1000, where x= .

Ques. 9JEE Main 2025, 28 January (Morning Shift)

In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured quantity has dimension of [MaLbTc]. If b = -3, the value of c is .

Ques. 10JEE Main 2025, 28 January (Morning Shift)

A tiny metallic rectangular sheet has length and breadth of 5 mm and 2.5 mm, respectively. Using a specially designed screw gauge which has pitch of 0.75 mm and 15 divisions in the circular scale, you are asked to find the area of the sheet. In this measurement, the maximum fractional error will be x100 where x is .

Ques. 11JEE Main 2025, 28 January (Evening Shift)

Match List - I with List - II. Choose the correct answer from the options given below:

  1. (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
  2. (A)-(I), (B)-(III), (C)-(IV), (D)-(II)
  3. (A)-(III), (B)-(I), (C)-(IV), (D)-(II)
  4. (A)-(III), (B)-(I), (C)-(II), (D)-(IV)

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