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Units and Measurements · Question 34

JEE Main 2025 (Online) 4th April Evening ShiftMCQEasy📈 Topic in 55% papers+4−1
1

In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of [MP LQ TR AS ]. The values of P and Q are :

  1. -1, 0
  2. 0, -1
  3. -1, 1
  4. 1, -1

Answer

(2) 0, -1

Solution

Electric dipole moment p=q 2a [p]=[A T][L]=[A T L]

Magnetic dipole moment m=I [m]=[A L2]

[ pm ]= [A T L][A L2]= [ M0 L-1 T1 A0 ]

P=0, Q=-1

Answer: (2)

JEE Main 2025 (Online) 4th April Evening Shift

Keep practising — Units and Measurements

2

A person measures mass of 3 different particles as 435.42 g, 226.3 g and 0.125 g. According to the rules for arithmetic operations with significant figures, the addition of the masses of 3 particles will be.

  1. 661.845 g
  2. 661.84 g
  3. 662 g
  4. 661.8 g
JEE Main 2025 (Online) 3rd April Morning Shift
3

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

  1. A-IV, B-III, C-II, D-I
  2. A-II, B-IV, C-III, D-I
  3. A-I, B-III, C-IV, D-II
  4. A-III, B-II, C-I, D-IV
JEE Main 2025 (Online) 3rd April Morning Shift
4

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

  1. A - III, B - IV, C - I, D - II
  2. A - III, B - IV, C - II, D - I
  3. A - III, B - II, C - I, D - IV
  4. A - II, B - III, C - IV, D - I
JEE Main 2025 (Online) 3rd April Evening Shift
5

A physical quantity C is related to four other quantities p, q, r and s as follows C = pq2r3 s The percentage errors in the measurement of p, q, r and s are 1\%, 2\%, 3\% and 2\%, respectively. The percentage error in the measurement of C will be %

JEE Main 2025 (Online) 3rd April Evening Shift
6

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)
JEE Main 2025 (Online) 2nd April Morning Shift
7

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
JEE Main 2025 (Online) 2nd April Morning Shift
8

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
JEE Main 2025 (Online) 2nd April Evening Shift
9

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
JEE Main 2025 (Online) 2nd April Evening Shift
10

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
JEE Main 2025 (Online) 29th January Morning Shift
11

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]
JEE Main 2025 (Online) 29th January Morning Shift

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