Q1. What are the dimensions of the Universal Gas Constant 'R'? (Hint: PV = nRT, where P is pressure, V is volume, n is number of moles, T is temperature).A [M L² T^-2 K^-1 mol^-1] B [M L² T^-2 mol^-1] C [M L T^-2 K^-1 mol^-1] D [M L^-1 T^-2 K^-1 mol^-1] View full solution →
Q2. A vernier caliper has 20 divisions on its vernier scale, which coincide with 19 divisions of the main scale. If one main scale division is 0.5 mm, what is the least count of the instrument and the reading if MSR is 10.0 mm and VSC is 15?A LC = 0.025 mm, Reading = 10.375 mm B LC = 0.05 mm, Reading = 10.75 mm C LC = 0.025 mm, Reading = 10.15 mm D LC = 0.05 mm, Reading = 10.15 mm View full solution →
Q3. A student measures the diameter of a cylinder three times: 2.34 cm, 2.36 cm, 2.35 cm. The instrument used has a least count of 0.01 cm. What is the average diameter and the absolute error?A (2.35 ± 0.01) cm B (2.35 ± 0.02) cm C (2.35 ± 0.006) cm D (2.35 ± 0.007) cm View full solution →
Q4. The dimensions of electric potential (V) are [M L² T^-3 A^-1]. What are the dimensions of resistance (R) if V = IR, where I is current (Ampere)?A M L² T^-3 A^-2 B M L² T^-3 A^-1 C M L² T^-2 A^-2 D M L T^-3 A^-2 View full solution →
Q5. Which of the following pairs of physical quantities has the same dimensions?A Angular momentum and Planck's constant B Stress and Pressure C All of the above D Energy and Torque View full solution →
Q6. Which of the following physical quantities is dimensionless?A Relative density B Angle C Strain D All of the above View full solution →
Q7. The dimensions of the quantity (electric charge)² / (permittivity * length * force) are equivalent to the dimensions of:A Momentum B Dimensionless C Power D Energy View full solution →
Q8. Which of the following units is derived in the CGS system?A Second B Gram C Centimeter D Dyne View full solution →
Q9. A weighing machine gives a reading of 50.0 kg for a person whose actual weight is 52.5 kg. If the machine consistently reads 50.0 kg for this person, which statement is true about the machine's measurements?A Low accuracy, low precision B High accuracy, high precision C Low accuracy, high precision D High accuracy, low precision View full solution →
Q10. The mass of a substance is measured as (50.0 ± 0.1) g and its volume as (10.0 ± 0.2) cm³. What is the maximum percentage error in the measurement of its density?A 0.3% B 2.0% C 2.1% D 0.1% View full solution →
Q11. A screw gauge has 100 divisions on its circular scale and its pitch is 1 mm. When a wire is placed between the jaws, the main scale reading is 2 mm and the 45th division of the circular scale coincides with the main line. What is the diameter of the wire?A 2.045 mm B 2.245 mm C 2.45 mm D 2.045 cm View full solution →
Q12. A Vernier caliper has 10 divisions on its Vernier scale, which coincide with 9 divisions on the main scale. If each main scale division (MSD) is 1 mm, what is the least count of the instrument?A 0.05 mm B 1 mm C 0.1 mm D 0.01 mm View full solution →
Q13. Which of the following is not a use of dimensional analysis?A To convert units from one system to another. B To derive relationships between physical quantities. C To determine the exact value of dimensionless constants. D To check the consistency of a physical equation. View full solution →
Q14. A quantity Q is given by Q = (I² R) / t, where I is current, R is resistance, and t is time. What are the dimensions of Q?A [M L² T^-3] B [M L T^-2] C [M L² T^-2] D [M L² T^-1] View full solution →
Q15. Modified Question: A quantity Q is given by Q = I² R, where I is current, R is resistance. What are the dimensions of Q?A [M L² T^-2] B [M L² T^-1] C [M L T^-2] D [M L² T^-3] View full solution →
Q16. If the smallest division on the main scale of a Vernier caliper is 1 mm and 20 Vernier scale divisions (VSD) coincide with 19 main scale divisions (MSD), what is the least count?A 0.05 mm B 0.005 mm C 0.01 mm D 0.1 mm View full solution →
Q17. Which of the following units is used to measure astronomical distances?A Angstrom B Micron C Parsec D Fermi View full solution →
Q18. The electric field (E) and magnetic field (B) are related by c = E/B, where c is the speed of light. If the dimensions of E are [M L T^-3 A^-1], what are the dimensions of B?A [M L^-1 T^-2 A^-1] B [M L T^-2 A^-1] C [M T^-3 A^-1] D [M T^-2 A^-1] View full solution →
Q19. A physical quantity P is found to be dependent on quantities x, y, and z as P = x + y²/z. If x is length, y is velocity, and z is acceleration, is the formula dimensionally consistent?A No, it is inconsistent. B Yes, it is consistent. C Cannot be determined without numerical constants. D Only consistent if x=0. View full solution →
Q20. A length is measured using a meter scale (least count 1 mm) as 4.7 cm. The percentage error in this measurement is approximately:A 0.5% B 0.2% C 2.1% D 0.1% View full solution →