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Units and Measurements · Question 31

JEE Main 2025 (Online) 7th April Evening ShiftMCQEasy📈 Topic in 55% papers+4−1
1

The dimension of 0 0 is equal to that of: ( 0 = Vacuum permeability and 0 = Vacuum permittivity)

  1. Voltage
  2. Inductance
  3. Resistance
  4. Capacitance

Answer

(3) Resistance

Solution

c = 1 0 0 1 0 = 0 c2

0 0 = 02 c2 = 0 c

[ 0] = [ MLT-2A-2] (from F = 0 I1 I2 l2 d), [c] = [ LT-1]

[ 0 c] = [ ML2T-3A-2]

Resistance: R = VI = PI2 [R] = [ ML2T-3][A2] = [ ML2T-3A-2]

0 0 has the dimension of resistance (it is the impedance of free space, about 377 ).

Answer: (3)

JEE Main 2025 (Online) 7th April Evening Shift

Keep practising — Units and Measurements

2

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

  1. (A)-(IV), (B)-(II), (C)-(III), (D)-(I)
  2. (A)-(II), (B)-(III), (C)-(IV), (D)-(I)
  3. (A)-(IV), (B)-(III), (C)-(I), (D)-(II)
  4. (A)-(IV), (B)-(II), (C)-(I), (D)-(III)
JEE Main 2025 (Online) 7th April Evening Shift
3

In an electromagnetic system, the quantity representing the ratio of electric flux and magnetic flux has dimension of MP LQ TR AS, where value of 'Q' and 'R' are

  1. (3, -5)
  2. (-2, 1)
  3. (-2, 2)
  4. (1, -1)
JEE Main 2025 (Online) 4th April Morning Shift
4

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
JEE Main 2025 (Online) 4th April Evening Shift
5

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
6

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
7

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
8

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
9

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
10

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
11

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

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