Physics 1050: Math Quiz
October 16, 2003
INSTRUCTIONS:
(i) No calculators or tables.
(ii) Each question is worth 10 marks.
(iii) TIME: 50 minutes.
1. The quantity D = 2/3 is called the diffusion coefficient where  is the average velocity and  is
the average time between molecular collisions. What are the units of D?
2. A car travels 0.12 mm in 3 s. Is it speeding (> 110 km/hr) ? Is this possible?
3. At what points does the line y = 2x + 7 intersect the graph of y = (x + 2)2 ?
4. In the equation S  S 0 (1  2e  x ) For what is the value of x is S = 0? (remember ln = log base e)
5. Solve for x and y if (hint substitute S = sin(x))
-12 sin(x) + 7y = 1
2 sin(x) + 3y = 4
.[1]
.[2]
6. What is the value of ((82)(1252)) 1/3 = ?
X = cos-1(cos2()- sin2()). (Hint cos(a+b) = cos(a)cos(b) - sin(a)sin(b) try a=b= )
7. What is X if
8. Two objects: a sphere and a cylinder have the same diameter. If the volume of the sphere is two
times the volume of the cylinder, what is the ratio of the length of the cylinder to its radius? (V
cylinder =  r2 l , Vsphere = ? )
9. The total resistance (RT) of the three resistors connected in parallel is given by:
1
1
1
1



RT R1 R2 R3
What is the formula for RT ?
10.
162 x
3
2
1
3 2
(12 x )
y
2
5
y 5
