Q1. The SI unit of luminous intensity is:

Candela
Lumen
Lux
Watt

Difficulty: Easy · Topic: SI Units

Solution

Candela (cd) is the SI base unit of luminous intensity. Lumen is derived (luminous flux), lux is illuminance.

Q2. The number of significant figures in 0.06900 is:

2
3
4
5

Difficulty: Easy-Medium · Topic: Significant Figures

Solution

Leading zeros are not significant. 6, 9, 0, 0 are significant. Trailing zeros after decimal point are significant. So 4 significant figures.

Q3. The dimensional formula of surface tension is:

[MT⁻²]
[ML⁻¹T⁻²]
[ML⁰T⁻²]
[MLT⁻²]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, surface tension has the dimensional formula [MT⁻²].

Q4. The dimensional formula of viscosity is:

[MLT⁻²]
[ML⁻¹T⁻¹]
[ML⁰T⁻¹]
[ML⁻¹T⁻²]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, viscosity has the dimensional formula [ML⁻¹T⁻¹].

Q5. The dimensional formula of gravitational constant is:

[ML³T⁻²]
[M⁻¹L²T⁻²]
[M⁻¹L³T⁻²]
[ML⁻¹T⁻²]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, gravitational constant has the dimensional formula [M⁻¹L³T⁻²].

Q6. The dimensional formula of specific heat is:

[ML²T⁻²K⁻¹]
[LT⁻²K⁻¹]
[L²T⁻²K⁻¹]
[MLT⁻²K⁻¹]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, specific heat has the dimensional formula [L²T⁻²K⁻¹].

Q7. The dimensional formula of force is:

[MLT⁻¹]
[ML⁻¹T⁻²]
[ML²T⁻²]
[MLT⁻²]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, force has dimensions [MLT⁻²].

Q8. The dimensional formula of velocity is:

[LT⁻¹]
[LT⁻²]
[MLT⁻¹]
[L²T⁻¹]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, velocity has dimensions [LT⁻¹].

Q9. The dimensional formula of acceleration is:

[MLT⁻²]
[LT⁻¹]
[L²T⁻²]
[LT⁻²]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, acceleration has dimensions [LT⁻²].

Q10. The dimensional formula of momentum is:

[ML²T⁻¹]
[MLT⁻²]
[MT⁻¹]
[MLT⁻¹]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, momentum has dimensions [MLT⁻¹].

Q11. The dimensional formula of pressure is:

[MLT⁻²]
[ML⁻¹T⁻¹]
[ML⁻²T⁻²]
[ML⁻¹T⁻²]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, pressure has dimensions [ML⁻¹T⁻²].

Q12. The dimensional formula of energy is:

[ML²T⁻³]
[ML²T⁻¹]
[ML²T⁻²]
[MLT⁻²]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, energy has dimensions [ML²T⁻²].

Q13. The dimensional formula of power is:

[ML²T⁻²]
[ML²T⁻³]
[ML³T⁻³]
[MLT⁻³]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, power has dimensions [ML²T⁻³].

Q14. The dimensional formula of torque is:

[ML²T⁻¹]
[MLT⁻²]
[ML²T⁻²]
[ML²T⁻³]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, torque has dimensions [ML²T⁻²].

Q15. The dimensional formula of angular momentum is:

[MLT⁻¹]
[ML²T⁻¹]
[ML²T⁻²]
[ML³T⁻¹]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, angular momentum has dimensions [ML²T⁻¹].

Q16. The dimensional formula of gravitational constant G is:

[M⁻¹L³T⁻²]
[ML⁻¹T⁻²]
[M⁻¹L²T⁻²]
[ML³T⁻²]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, gravitational constant G has dimensions [M⁻¹L³T⁻²].

Q17. The dimensional formula of Boltzmann constant is:

[MLT⁻²K⁻¹]
[ML²T⁻³K⁻¹]
[ML²T⁻¹K⁻¹]
[ML²T⁻²K⁻¹]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, Boltzmann constant has dimensions [ML²T⁻²K⁻¹].

Q18. The dimensional formula of electric permittivity is:

[M⁻¹L⁻³T⁴A²]
[ML³T⁻²A⁻²]
[M⁻¹L⁻²T⁴A²]
[ML⁻³T⁴A⁻²]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, electric permittivity has dimensions [M⁻¹L⁻³T⁴A²].

Q19. The dimensional formula of magnetic permeability is:

[ML²T⁻²A⁻²]
[MLT⁻²A⁻²]
[ML⁻¹T⁻²A²]
[MLT⁻¹A⁻²]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, magnetic permeability has dimensions [MLT⁻²A⁻²].

Q20. The dimensional formula of specific heat capacity is:

[MLT⁻²K⁻¹]
[ML²T⁻²K⁻¹]
[L²T⁻¹K⁻¹]
[L²T⁻²K⁻¹]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, specific heat capacity has dimensions [L²T⁻²K⁻¹].

Q21. The dimensional formula of thermal conductivity is:

[ML²T⁻³K⁻¹]
[MLT⁻²K⁻¹]
[MT⁻³K⁻¹]
[MLT⁻³K⁻¹]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, thermal conductivity has dimensions [MLT⁻³K⁻¹].

Q22. The dimensional formula of impulse is:

[MT⁻¹]
[ML²T⁻¹]
[MLT⁻²]
[MLT⁻¹]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, impulse has dimensions [MLT⁻¹].

Q23. The dimensional formula of frequency is:

[LT⁻¹]
[T⁻²]
[T⁻¹]
[ML⁻¹T⁻¹]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, frequency has dimensions [T⁻¹].

Q24. The dimensional formula of electric potential is:

[ML²T⁻³A⁻¹]
[MLT⁻³A⁻¹]
[ML²T⁻³A]
[ML²T⁻²A⁻¹]

Difficulty: Easy-Medium · Topic: Dimensional Analysis

Solution

By dimensional analysis, electric potential has dimensions [ML²T⁻³A⁻¹].

Q25. The number of significant figures in 0.00340 is:

4
6
2
3

Difficulty: Easy-Medium · Topic: Significant Figures

Solution

Counting significant figures in 0.00340: the answer is 3.

Q26. The number of significant figures in 2.6050 is:

4
5
6
8

Difficulty: Easy-Medium · Topic: Significant Figures

Solution

Counting significant figures in 2.6050: the answer is 5.

Q27. The number of significant figures in 1.00 is:

2
3
4
6

Difficulty: Easy-Medium · Topic: Significant Figures

Solution

Counting significant figures in 1.00: the answer is 3.

Q28. The number of significant figures in 0.020 is:

2
1
5
3

Difficulty: Easy-Medium · Topic: Significant Figures

Solution

Counting significant figures in 0.020: the answer is 2.

Q29. The number of significant figures in 5000 is:

3
1
4
2

Difficulty: Easy-Medium · Topic: Significant Figures

Solution

Counting significant figures in 5000: the answer is 1.

Q30. The number of significant figures in 5000. is:

5
7
3
4

Difficulty: Easy-Medium · Topic: Significant Figures

Solution

Counting significant figures in 5000.: the answer is 4.

Q31. The number of significant figures in 5.0 x 10³ is:

1
3
5
2

Difficulty: Easy-Medium · Topic: Significant Figures

Solution

Counting significant figures in 5.0 x 10³: the answer is 2.

Q32. The number of significant figures in 100.0 is:

7
5
4
3

Difficulty: Easy-Medium · Topic: Significant Figures

Solution

Counting significant figures in 100.0: the answer is 4.

Q33. The number of significant figures in 0.0120 is:

2
6
4
3

Difficulty: Easy-Medium · Topic: Significant Figures

Solution

Counting significant figures in 0.0120: the answer is 3.

Q34. The number of significant figures in 6.022 x 10²³ is:

4
7
5
3

Difficulty: Easy-Medium · Topic: Significant Figures

Solution

Counting significant figures in 6.022 x 10²³: the answer is 4.

Q35. If force (F), velocity (v), and time (T) are taken as fundamental quantities, the dimensional formula of mass is:

FvT
Fv⁻¹T
FvT⁻¹
Fv⁻¹T²

Difficulty: Medium · Topic: Dimensional Analysis

Solution

F = MLT⁻², v = LT⁻¹, T = T. From F = Ma, M = F/a = F/(v/T) = FT/v = Fv⁻¹T.

Q36. The percentage errors in the measurement of mass and speed are 2% and 3% respectively. The maximum percentage error in the estimate of kinetic energy (E = ½mv²) is:

5%
8%
11%
1%