Q1. 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 cm B 2.45 mm C 2.045 mm D 2.245 mm View full solution →
Q2. What is the SI unit of luminous intensity?A Lumen B Becquerel C Candela D Lux View full solution →
Q3. The length of a cylinder is measured as (4.50 ± 0.05) cm and its diameter as (2.20 ± 0.01) cm. Calculate the percentage error in its volume.A 1.67% B 0.22% C 1.11% D 2.12% View full solution →
Q4. If the speed of light (c), Planck's constant (h), and Gravitational constant (G) are chosen as fundamental units, what are the dimensions of length in this new system?A [G h c^-3/2] B [G¹/2 h¹/2 c^-3/2] C [G¹/2 h^-1/2 c³/2] D [G¹/2 h c¹/2] View full solution →
Q5. 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^-2 A^-2 C M L² T^-3 A^-1 D M L T^-3 A^-2 View full solution →
Q7. A physical quantity P is related to four observables a, b, c and d as P = (a³ b²) / (sqrt(c) d). The percentage errors of measurement in a, b, c and d are 1%, 3%, 4% and 2% respectively. What is the percentage error in P?A 15% B 10% C 13% D 12% View full solution →
Q8. 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 T^-2 A^-1] B [M L^-1 T^-2 A^-1] C [M T^-2 A^-1] D [M T^-3 A^-1] View full solution →
Q9. A screw gauge has a pitch of 0.5 mm and 50 divisions on its circular scale. When the jaws are closed, the zero of the circular scale is below the main line, and the 5th division coincides with the main line. When a wire is measured, the main scale reading is 4 mm and the 30th division of the circular scale coincides. What is the correct diameter of the wire?A 4.30 mm B 4.25 mm C 4.35 mm D 4.20 mm View full solution →
Q10. If the measurement of length 'L' has a percentage error of X%, what is the percentage error in the measurement of √(L)?A X% B X² % C X/2 % D 2X% View full solution →
Q11. What are the dimensions of the universal gravitational constant (G) from Newton's law of gravitation F = G (m1 m2) / r²?A M L³ T^-2 B M² L³ T^-2 C M^-1 L³ T^-2 D M^-1 L² T^-2 View full solution →
Q12. The Boltzmann constant (k_B) relates the average kinetic energy of particles in a gas to the absolute temperature. What are its dimensions?A M L² T^-2 K^-1 B M L T^-2 K^-1 C M L² T^-1 K^-1 D M L² T^-2 K¹ View full solution →
Q13. If voltage V = (100 ± 5) V and current I = (10 ± 0.2) A, what is the percentage error in the measurement of resistance R = V/I?A 5% B 0.7% C 5.2% D 7% View full solution →
Q14. Express the number 0.00000000450 in scientific notation with the correct number of significant figures.A 4.5 x 10^-9 B 4.50 x 10^-9 C 4.500 x 10^-9 D 4.05 x 10^-9 View full solution →
Q15. Which of the following is not a use of dimensional analysis?A To check the consistency of a physical equation. B To convert units from one system to another. C To derive relationships between physical quantities. D To determine the exact value of dimensionless constants. View full solution →
Q16. The dimensions of the quantity (electric charge)² / (permittivity * length * force) are equivalent to the dimensions of:A Power B Dimensionless C Energy D Momentum View full solution →
Q17. How many significant figures are present in the number 500.0?A 3 B 2 C 4 D 1 View full solution →
Q18. 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 ± 0.006) cm B (2.35 ± 0.02) cm C (2.35 ± 0.007) cm D (2.35 ± 0.01) cm View full solution →
Q19. The age of the universe is estimated to be approximately 13.8 billion years. Express this age in seconds, and determine its order of magnitude. (Assume 1 year ≈ 3.156 x 10⁷ seconds).A 4.35 x 10¹8 seconds, Order 10¹8 B 4.35 x 10¹7 seconds, Order 10¹7 C 4.35 x 10¹6 seconds, Order 10¹6 D 4.35 x 10¹7 seconds, Order 10¹8 View full solution →
Q20. What are the dimensions of the gravitational constant G?A [M L T^-2] B [M^-1 L² T^-2] C [M^-1 L³ T^-2] D [M L² T^-2] View full solution →