Electric charge is measured in coulombs and the dimensional formula of force is MLT⁻², so this Class 11 sheet opens with the charge unit and a dimension check. The answers record relative density and 9.46 × 10¹⁵ m as a light-year.
Key Takeaways
The SI unit of electric charge is the coulomb (Q1).
The dimensional formula of force is MLT⁻² (Q2).
Q4 records relative density.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.The SI unit of electric charge is:
(a) coulomb(b) ampere(c) volt(d) ohm
2.The dimensional formula of force is:
(a) MLT⁻²(b) MLT⁻¹(c) ML²T⁻²(d) MLT²
3.The number of significant figures in the measurement 0.00520 is:
(a) 5(b) 3(c) 6(d) 4
4.Which of the following is a dimensionless quantity?
(a) relative density(b) velocity(c) force(d) energy
6.If the error in the measurement of the radius of a sphere is 2%, then the percentage error in the calculated volume of the sphere is:
(a) 2%(b) 4%(c) 6%(d) 8%
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Define significant figures and give the number of significant figures in 104.50.
8.Write the dimensional formula of the universal gravitational constant G.
9.State the SI unit of solid angle and give its symbol.
10.What is the parallax method? How is it used to estimate the distance of a far away star?
11.Write the dimensions of Planck's constant h.
12.Distinguish between precision and accuracy of a measurement.
13.State the principle of homogeneity of dimensions and give one use of dimensional analysis.
14.Define the unit parsec and write its approximate value in metres.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.The pitch of a screw gauge is 1 mm and its circular scale has 50 divisions. Calculate its least count.
16.Taking speed of light c = 3 × 10⁸ m/s and one year = 3.15 × 10⁷ s, calculate one light year in metres.
17.The length and breadth of a rectangular sheet are 4.234 m and 1.05 m. Find the area of the sheet to the correct number of significant figures.
18.Using the relation T = 2π√(L/g), find the time period of a simple pendulum of length 0.90 m. Take g = 10 m/s² and π = 3.14.
19.The radius of a sphere is measured as 5.0 cm with an error of 0.1 cm. Using V = 4/3 πr³, find the percentage error in the volume of the sphere.
20.The density of a cube is calculated from the measured mass and edge length. If the error in mass is 1% and the error in edge length is 2%, find the maximum percentage error in density using ρ = m/a³.
Answer Key
1. a) coulomb
2. a) MLT⁻²
3. b) 3
4. a) relative density
5. a) 9.46 × 10¹⁵ m
6. c) 6%
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What is the SI unit of electric charge?
The coulomb, option (a) in this worksheet (Q1).
What is the dimensional formula of force?
MLT⁻², option (a) in this worksheet (Q2).
What distance equals one light-year?
9.46 × 10¹⁵ m, option (a) in this worksheet (Q5).
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