Lesson MA1-MA2
MA1-MA2 Dimensional analysis Quiz: AQA Further Maths, Unit 3
20 questions
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Lesson MA1-MA2, Dimensional analysis: 20 multiple choice questions for the AQA Further Maths (7367), Unit 3: Optional application 1: mechanics, written with Revision Ninja.
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The 20 questions
-
What is the dimension of velocity, using M for mass, L for length and T for time?
- LT
- L^-1 T
- LT^-2
- LT^-1
-
What is the dimension of force?
- MT^-2
- MLT^-1
- ML^2T^-2
- MLT^-2
-
What is the dimension of energy?
- MLT^-2
- ML^2T^-2
- ML^2T^-3
- MLT^-1
-
What is the dimension of momentum?
- MLT^-2
- MLT^-1
- ML^2T^-1
- ML^-1T^-1
-
What is the dimension of power?
- ML^2T^-2
- ML^2T^-3
- ML^2T^-1
- MLT^-3
-
What is the dimension of a spring constant k in T = kx?
- MLT^-2
- MT^-2
- MLT^-1
- MT^-1
-
What is the dimension of density?
- ML^-2
- ML^3
- ML^-3
- MLT^-2
-
Which expression is dimensionally inconsistent?
- s = ut + (1/2)at^2
- E = ma + mv^2
- v^2 = u^2 + 2as
- v = u + at
-
Which of these quantities is dimensionless?
- v^2/(gL)
- v/g
- L/g
- v^2 g
-
Which formula for the period of a simple pendulum is dimensionally consistent?
- T = 2 pi L/g
- T = 2 pi g/L
- T = 2 pi sqrt(L/g)
- T = 2 pi sqrt(gL)
-
Which formula for the speed v after falling through height h is dimensionally consistent?
- v = gh
- v = sqrt(2gh)
- v = sqrt(2h/g)
- v = 2gh
-
In the potential formula T = k L^a g^b, which power a is needed for dimensional consistency?
- 2
- 1
- -1/2
- 1/2
-
In the same formula T = k L^a g^b, what is b?
- 1/2
- -1
- -1/2
- 1
-
What are the dimensions of rho v^2, where rho is density and v is velocity?
- MLT^-2
- ML^-1T^-2
- ML^-3T^-2
- ML^2T^-2
-
What are the dimensions of the quantity F v, the product of force and velocity?
- ML^2T^-3
- ML^2T^-2
- ML^2T^-1
- MLT^-3
-
What are the dimensions of impulse Ft?
- ML^2T^-2
- MLT
- MLT^-1
- MLT^-2
-
Which formula gives a period with dimension T, using a spring constant k (dimension MT^-2) and mass m?
- T = 2 pi k/m
- T = 2 pi sqrt(m/k)
- T = 2 pi m/k
- T = 2 pi sqrt(k/m)
-
What are the dimensions of the gravitational constant G in F = G m1 m2 / r^2?
- M^-1 L^3 T^-2
- ML^3T^-2
- M^-2 L^2 T^-2
- M^-1 L^2 T^-2
-
In x = at + bt^2, where x is a length and t is time, what are the dimensions of b?
- T^-2
- L
- LT^-1
- LT^-2
-
What is the dimension of 2u sin(theta)/g, where u is a speed and g is an acceleration?
- T^2
- L
- LT^-1
- T
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