Units and Measurements

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

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)

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)

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

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

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

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

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 %

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)

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

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

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

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

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]

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 .

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 .

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)