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Units and Measurements

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

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)

Keep practising — Units and Measurements

Ques. 2JEE Main 2025, 7 April (Evening Shift)

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)
Ques. 3JEE Main 2025, 4 April (Morning Shift)

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)
Ques. 4JEE Main 2025, 4 April (Evening Shift)

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
Ques. 5JEE Main 2025, 3 April (Morning Shift)

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
Ques. 6JEE Main 2025, 3 April (Morning Shift)

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
Ques. 7JEE Main 2025, 3 April (Evening Shift)

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
Ques. 8JEE Main 2025, 3 April (Evening Shift)

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 %

Ques. 9JEE 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)
Ques. 10JEE 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. 11JEE 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

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