Class 11 Physics Assignment
Chapter: Units and Measurements
Q1. The dimensional formula of force is:
A) [MLT⁻¹]
B) [MLT⁻²]
C) [ML²T⁻²]
D) [M⁰LT⁻²]
View Solution
Mass = [M], acceleration = [LT⁻²].
Therefore force = [MLT⁻²].
Q2. The SI unit of pressure is:
A) Newton
B) Joule
C) Pascal
D) Watt
View Solution
SI unit = N/m² = Pascal.
Q3. Which of the following is a fundamental quantity?
A) Force
B) Work
C) Length
D) Pressure
View Solution
Q4. The dimensional formula of work is:
A) [MLT⁻²]
B) [ML²T⁻²]
C) [ML²T⁻¹]
D) [M²LT⁻²]
View Solution
Q5. The number of significant figures in 0.00450 is:
A) 2
B) 3
C) 4
D) 5
View Solution
Total significant figures = 3.
Q6. The dimensional formula of power is:
A) [ML²T⁻²]
B) [ML²T⁻³]
C) [MLT⁻³]
D) [M⁰L²T⁻³]
View Solution
Q7. The least count of a vernier caliper is given by:
A) 1 MSD + 1 VSD
B) 1 MSD − 1 VSD
C) 1 VSD − 1 MSD
D) MSD × VSD
View Solution
Q8. If percentage errors in length, breadth and height are 1%, 2% and 3%, percentage error in volume is:
A) 1%
B) 2%
C) 3%
D) 6%
View Solution
Percentage error in product = sum of percentage errors = 1 + 2 + 3 = 6%.
Q9. Which of the following has dimensions of impulse?
A) Force
B) Momentum
C) Work
D) Power
View Solution
Q10. The SI unit of solid angle is:
A) Radian
B) Steradian
C) Degree
D) Candela
View Solution
Q11. The dimensional formula of density is:
A) [ML⁻³]
B) [ML³]
C) [M⁻¹L³]
D) [ML⁻²]
View Solution
Q12. The unit of gravitational constant G is:
A) N kg² m⁻²
B) N m² kg⁻²
C) N m kg⁻¹
D) N kg m⁻²
View Solution
Unit = N m² kg⁻².
Q13. The dimensional formula of G is:
A) [M⁻¹L³T⁻²]
B) [ML³T⁻²]
C) [M⁻¹L²T⁻²]
D) [M⁻²L³T⁻²]
View Solution
Q14. Which of the following is dimensionless?
A) Strain
B) Stress
C) Force
D) Energy
View Solution
Q15. The dimensional formula of stress is:
A) [ML⁻¹T⁻²]
B) [MLT⁻²]
C) [ML²T⁻²]
D) [M⁰L⁰T⁰]
View Solution
Q16. The percentage error in measuring radius of a sphere is 2%. Percentage error in volume is:
A) 2%
B) 4%
C) 6%
D) 8%
View Solution
Percentage error in volume = 3 × 2% = 6%.
Q17. The smallest measurable value by an instrument is called:
A) Zero error
B) Least count
C) Accuracy
D) Precision
View Solution
Q18. The SI unit of luminous intensity is:
A) Mole
B) Ampere
C) Candela
D) Kelvin
View Solution
Q19. Which of the following is not a fundamental SI unit?
A) Kilogram
B) Kelvin
C) Newton
D) Ampere
View Solution
Q20. The dimensional formula of angular velocity is:
A) [T⁻¹]
B) [LT⁻¹]
C) [L²T⁻¹]
D) [M⁰L¹T⁻¹]
View Solution
Q21. The dimensional formula of torque is same as that of:
A) Power
B) Work
C) Pressure
D) Momentum
View Solution
Q22. Which quantity has unit kg m² s⁻²?
A) Force
B) Energy
C) Power
D) Pressure
View Solution
Q23. If A = B + C, then dimensions of:
A) A, B and C may be different
B) B and C must be same, A may differ
C) A, B and C must be same
D) Only A and B must be same
View Solution
Q24. The dimensional formula of frequency is:
A) [T]
B) [T⁻¹]
C) [LT⁻¹]
D) [MLT⁻¹]
View Solution
Q25. The number 3.020 has how many significant figures?
A) 2
B) 3
C) 4
D) 5
View Solution
Q26. Which instrument is used to measure very small thickness accurately?
A) Metre scale
B) Spring balance
C) Screw gauge
D) Stop watch
View Solution
Q27. If pitch of screw gauge is 1 mm and circular scale has 100 divisions, least count is:
A) 1 mm
B) 0.1 mm
C) 0.01 mm
D) 0.001 mm
View Solution
Q28. The dimensional formula of surface tension is:
A) [MT⁻²]
B) [MLT⁻²]
C) [ML⁻¹T⁻²]
D) [M⁰LT⁻²]
View Solution
Q29. Which of the following has dimensions of pressure?
A) Young’s modulus
B) Momentum
C) Power
D) Angular momentum
View Solution
Q30. The dimensional formula of coefficient of viscosity is:
A) [ML⁻¹T⁻¹]
B) [MLT⁻¹]
C) [ML⁻¹T⁻²]
D) [M⁰L⁰T⁰]
View Solution
Pa = [ML⁻¹T⁻²], so η = [ML⁻¹T⁻¹].
Q31. In 2.5 × 10³, the number of significant figures is:
A) 1
B) 2
C) 3
D) 4
View Solution
Q32. Random errors can be reduced by:
A) Taking one reading only
B) Taking repeated readings and averaging
C) Using wrong zero correction
D) Avoiding calibration
View Solution
Q33. Zero error belongs to which type of error?
A) Random error
B) Systematic error
C) Gross error
D) Accidental error
View Solution
Q34. Which of the following cannot be derived using dimensional analysis?
A) Checking correctness of equation
B) Finding relation between quantities
C) Finding numerical constant
D) Converting units
View Solution
Q35. The dimensional formula of Planck’s constant h is:
A) [ML²T⁻¹]
B) [ML²T⁻²]
C) [MLT⁻¹]
D) [M⁰L²T⁻¹]
View Solution
Q36. Which of the following is dimensionally correct?
A) v = u + at
B) v = u + a/t
C) v = ut + a
D) v = u² + at
View Solution
Q37. If x = at + bt², dimensions of b are:
A) [LT⁻¹]
B) [LT⁻²]
C) [L²T⁻²]
D) [T⁻²]
View Solution
b = [L]/[T²] = [LT⁻²].
Q38. If y = A sin(ωt), dimensions of A are:
A) Same as y
B) Same as ω
C) Dimensionless
D) Same as time
View Solution
Q39. Which pair has the same dimensions?
A) Work and power
B) Torque and work
C) Pressure and force
D) Momentum and energy
View Solution
Q40. If measured value is 10.2 cm and true value is 10.0 cm, percentage error is:
A) 1%
B) 2%
C) 3%
D) 4%
View Solution
Percentage error = (0.2/10.0) × 100 = 2%.
Q41. Which quantity has dimensions [M⁰L⁰T⁰]?
A) Angle
B) Velocity
C) Acceleration
D) Force
View Solution
Q42. The SI unit of amount of substance is:
A) Mole
B) Candela
C) Kelvin
D) Ampere
View Solution
Q43. The dimensional formula of electric charge is:
A) [AT]
B) [A/T]
C) [MLT⁻²]
D) [M⁰L⁰T⁰]
View Solution
Q44. The relative error is equal to:
A) Absolute error / True value
B) True value / Absolute error
C) Measured value × True value
D) Absolute error + True value
View Solution
Q45. The unit of coefficient of friction is:
A) Newton
B) Joule
C) No unit
D) Pascal
View Solution
Q46. If momentum p = mv, dimensions of momentum are:
A) [MLT⁻¹]
B) [MLT⁻²]
C) [ML²T⁻²]
D) [M⁰LT⁻¹]
View Solution
Q47. The dimensional formula of kinetic energy is:
A) [ML²T⁻²]
B) [MLT⁻²]
C) [ML²T⁻³]
D) [M⁰L²T⁻²]
View Solution
Q48. Which of the following represents precision?
A) Closeness to true value
B) Reproducibility of readings
C) Large error
D) Wrong calibration
View Solution
Q49. If a physical quantity Q = A²B/C, percentage error in Q is:
A) 2ΔA/A + ΔB/B + ΔC/C
B) ΔA/A + ΔB/B − ΔC/C
C) 2ΔA/A − ΔB/B + ΔC/C
D) ΔA/A + 2ΔB/B + ΔC/C
View Solution
Q50. The dimensional formula of acceleration due to gravity g is:
A) [LT⁻¹]
B) [LT⁻²]
C) [MLT⁻²]
D) [M⁰L⁰T⁻¹]