Lesson 6.01a
6.01a Dimensional analysis Quiz: OCR Further Maths, Unit 3
20 questions
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Lesson 6.01a, Dimensional analysis: 20 multiple choice questions for the OCR Further Maths (H245), Unit 3: Mechanics (Y543), written with Revision Ninja.
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The 20 questions
-
What standard mathematical notation is used to denote the dimension of a physical quantity d?
- dim(d)
- d
- [d]
- |d|
-
What are the dimensions of acceleration in terms of mass, length, and time?
- M L T^-2
- L^2 T^-1
- L T^-1
- L T^-2
-
What are the fundamental dimensions of force in terms of mass, length, and time?
- M L^2 T^-2
- M L T^-1
- M L T^-2
- M L^-1 T^-2
-
What are the fundamental dimensions of kinetic energy in terms of mass, length, and time?
- M L^-1 T^-2
- M L^2 T^-3
- M L T^-2
- M L^2 T^-2
-
What are the dimensions of power in terms of mass, length, and time?
- M L^2 T^-1
- M L^2 T^-2
- M L T^-3
- M L^2 T^-3
-
What are the dimensions of density in terms of fundamental dimensional quantities?
- M L^-3
- M L^-1 T^-1
- M L^3
- M L^-2
-
Which of the following physical quantities is defined as completely dimensionless?
- Frequency
- Dynamic pressure
- Coefficient of friction
- Spring constant
-
What are the fundamental dimensions of linear momentum in mechanics?
- M L^-1 T^-1
- M L T^-2
- M L^2 T^-1
- M L T^-1
-
Which SI base units correspond directly to the dimensional expression M L T^-2?
- kg m^-1 s^-2
- kg m s^-2
- kg m s^-1
- kg m^2 s^-2
-
What are the dimensions of the spring constant k in Hooke's law, F = kx?
- M T^-1
- M L T^-1
- M L T^-2
- M T^-2
-
If pressure is defined as force divided by area, what are its dimensions?
- M L^2 T^-2
- M L^-1 T^-2
- M L^-2 T^-2
- M L T^-2
-
In the kinematic equation v^2 = u^2 + 2as, what are the dimensions of the term as?
- L T^-1
- L^2 T^-1
- L^2 T^-2
- L T^-2
-
If force F = (3i + 4j) N and displacement r = (2i - j) m, what is the work done?
- 14 J
- 10 J
- 2 N
- 2 J
-
What is the work done by a 10 N force moving an object 5 m at 60 degrees?
- 50 J
- 25 J
- 25 N
- 43.3 J
-
Which vector operation calculates the work done by a constant force F moving through displacement r?
- Vector addition
- Dot product
- Modulus ratio
- Cross product
-
A quantity has dimensions M L^2 T^-2. Which of these quantities could this represent?
- Torque
- Force
- Pressure
- Power
-
If period T is proportional to l^a g^b, what is the value of the exponent a?
- -1/2
- 1/2
- 1
- 2
-
In the drag force equation F = c d v^2 A, what are the dimensions of the coefficient c?
- M L T^-2
- Dimensionless
- L T^-1
- M L^-1
-
If period T depends on mass m and spring constant k as T = m^a k^b, what is b?
- 1/2
- 1
- -1/2
- -1
-
Why can dimensional analysis never determine pure numerical multiplicative constants in physical equations?
- Constants are dimensionless
- Constants are zero
- Constants are negative
- Constants change constantly
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