Q1. Given that 1 calorie = 4.18 J, and 1 J = 10⁷ erg. If the value of G in CGS system is 6.67 x 10^-8 dyne cm² g^-2, convert it to SI units.A 6.67 x 10^-13 N m² kg^-2 B 6.67 x 10^-5 N m² kg^-2 C 6.67 x 10^-11 N m² kg^-2 D 6.67 x 10^-9 N m² kg^-2 View full solution →
Q2. During an experiment, a student consistently reads the scale from an angle, leading to readings that are always higher than the actual value. What type of error is this?A Random error B Systematic error C Instrumental error D Gross error View full solution →
Q4. If a physical quantity has units of kg m s^-2, what is it likely to represent?A Momentum B Force C Energy D Power View full solution →
Q5. In an experiment to determine the acceleration due to gravity (g) using a simple pendulum, the formula used is T = 2π√(L/g). If the percentage error in the measurement of length (L) is 2% and in the time period (T) is 1%, what is the maximum percentage error in the calculated value of g?A 4% B 5% C 6% D 3% View full solution →
Q6. 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 10¹7 seconds, Order 10¹7 B 4.35 x 10¹6 seconds, Order 10¹6 C 4.35 x 10¹8 seconds, Order 10¹8 D 4.35 x 10¹7 seconds, Order 10¹8 View full solution →
Q7. The radius of a solid sphere is measured to be R = (6.0 ± 0.2) cm. Calculate the maximum percentage error in the volume of the sphere.A 3.33% B 2.0% C 6.0% D 10.0% View full solution →
Q8. 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 2.12% C 0.22% D 1.11% View full solution →
Q9. Which of the following is not a use of dimensional analysis?A To check the consistency of a physical equation. B To derive relationships between physical quantities. C To convert units from one system to another. D To determine the exact value of dimensionless constants. View full solution →
Q10. A physical quantity has dimensions [M^x L^y T^z]. If this quantity is proportional to the square of velocity and inversely proportional to length, what is the relation between x, y, z?A x=1, y=-1, z=-2 B x=1, y=0, z=-2 C x=0, y=1, z=-2 D x=1, y=1, z=-2 View full solution →
Q11. In a new system of units, the unit of mass is 'a' kg, length is 'b' m, and time is 'c' s. What will be the magnitude of a force of 1 N in this new system?A (1/a b^-1 c^-2) units B (1/abc²) units C (1/a^-1 b c²) units D (1/a b c^-2) units View full solution →
Q12. 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 →
Q13. Modified Question: What are the dimensions of the ratio of molar heat capacity to specific heat capacity?A [M] B [mol^-1] C [M mol^-1] D [M L² T^-2 mol^-1] View full solution →
Q14. 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 = 0.05 mm, Reading = 10.75 mm B LC = 0.05 mm, Reading = 10.15 mm C LC = 0.025 mm, Reading = 10.15 mm D LC = 0.025 mm, Reading = 10.375 mm View full solution →
Q15. 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 0.2% B 0.1% C 0.5% D 2.1% View full solution →
Q16. What are the dimensions of the ratio of specific heat capacity to molar heat capacity?A [M L² T^-2 mol^-1] B [mol^-1] C [M] D [M mol^-1] View full solution →
Q17. 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 Cannot be determined without numerical constants. B No, it is inconsistent. C Only consistent if x=0. D Yes, it is consistent. View full solution →
Q18. 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^-2 A^-2 B M L² T^-3 A^-1 C M L T^-3 A^-2 D M L² T^-3 A^-2 View full solution →
Q19. Which of the following quantities is expressed in the correct SI unit?A Pressure: dyne B Mass: gram C Temperature: degree Celsius D Electric current: ampere View full solution →
Q20. Which of the following statements about significant figures is incorrect?A Trailing zeros in a number without a decimal point are not significant. B All non-zero digits are significant. C Zeros between two non-zero digits are not significant. D Leading zeros are never significant. View full solution →