ABSTRACT

V1 =40 volts and V2 =100 volts, the resultant (i.e. length OA) is: (a) 131.4 volts at 32.55◦ to V1 (b) 105.0 volts at 32.55◦ to V1 (c) 131.4 volts at 68.30◦ to V1 (d) 105.0 volts at 42.31◦ to V1

4. Which of the straight lines shown in Fig. M3.3 has the equation y +4=2x? (a) (i) (b) (ii) (c) (iii) (d) (iv)

5. A pie diagram is shown in Fig. M3.4 where P , Q, R and S represent the salaries of four employees of a firm. P earns £24 000 p.a. Employee S earns: (a) £40 000 (b) £36 000 (c) £20 000 (d) £24 000

6. A force of 4 N is inclined at an angle of 45◦ to a second force of 7 N, both forces acting at a point, as shown in Fig. M3.5. The magnitude of the resultant of these two forces and the direction of the resultant with respect to the 7 N force is: (a) 3 N at 45◦ (b) 5 N at 146◦ (c) 11 N at 135◦ (d) 10.2 N at 16◦

7 to 10 relate The capacitance (in pF) of 6 capacitors is as follows: {5, 6, 8, 5, 10, 2}

7. The median value is: (a) 36 pF (b) 6 pF (c) 5.5 pF (d) 5 pF

8. The modal value is: (a) 36 pF (b) 6 pF (c) 5.5 pF (d) 5 pF

9. The mean value is: (a) 36 pF (b) 6 pF (c) 5.5 pF (d) 5 pF

10. The standard deviation is: (a) 2.66 pF (b) 2.52 pF (c) 2.45 pF (d) 6.33 pF

11. A graph of y against x , two engineering quantities, produces a straight line. A table of values is shown below:

x 2 −1 p y 9 3 5

The value of p is:

(a) −1 2

(b) −2 (c) 3 (d) 0 Questions 12 and 13 relate to the following information. The voltage phasors V 1 and V2 are shown in Fig. M3.6.