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Units and Measurements

JEE Main 2025 (Online) 2nd April Evening ShiftMCQMedium📈 Topic in 55% papers+4−1
Ques. 1JEE 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

Answer

(4) q 0 I

Solution

From Fl = 0 I1 I22 d: [ 0] = [F][I]2 = [ M L T-2 A-2]

[q] = [A T], [I] = [A]

[q 0 I] = [A T][ M L T-2 A-2][A]

= [ M L T-1] = dimension of momentum

(Check: [qI/ 0] = [ M-1 L-1 T3 A4], [q2 0 I] = [M L A T0], [q 0/I] = [ M L T-1 A-2])

Answer: (4)

Keep practising — Units and Measurements

Ques. 2JEE 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. 3JEE 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. 4JEE 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. 5JEE 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. 6JEE 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. 7JEE 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. 8JEE 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)
Ques. 9JEE Main 2025, 24 January (Morning Shift)

For an experimental expression y= 32.3 112527.4, where all the digits are significant. Then to report the value of y we should write

  1. y=1326.186
  2. y=1326.2
  3. y=1326.19
  4. y=1330
Ques. 10JEE Main 2025, 24 January (Morning Shift)

The least count of a screw gauge is 0.01 mm. If the pitch is increased by 75% and number of divisions on the circular scale is reduced by 50%, the new least count will be 10-3 mm.

Ques. 11JEE Main 2025, 24 January (Evening Shift)

The energy E and momentum p of a moving body of mass m are related by some equation. Given that c represents the speed of light, identify the correct equation

  1. E2=pc2+m2c4
  2. E2=pc2+m2c2
  3. E2=p2c2+m2c4
  4. E2=p2c2+m2c2

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