Workshop Semester 2 July 2017

Workshop Calculation & Science - Semester II (July 2017)

1. Area = 2025 mm² → side =
   a) 65 mm
   b) 55 mm
   c) 45 mm ✔
   d) 35 mm
2. Sinθ =
   a) Opposite/Adjacent
   b) Opposite/Hypotenuse ✔
   c) Adjacent/Opposite
   d) Opposite/Adjacent
3. Advantage of rheostat over potentiometer:
   a) Handles higher frequency
   b) More precise
   c) Handles more current ✔
   d) Works better with DC
4. x² − 7x + 10 = 0 → roots:
   a) 5, 2 ✔
   b) -5, -2
   c) -5, 2
   d) 5, -2
5. Temperature above 350°C measured by:
   a) Hydrometer
   b) Thermometer
   c) Pyrometer ✔
   d) Calorimeter
6. Resistance increases when:
   a) Resistivity decreases
   b) Length increases ✔
   c) Area decreases ✔
   d) Conductivity increases
7. Lateral surface area of shaft (D=20 mm, L=100 mm):
   a) 75.36 cm²
   b) 69.08 cm²
   c) 65.94 cm²
   d) 62.84 cm² ✔
8. x = a secφ, y = b tanφ → x²/a² − y²/b² =
   a) 1 ✔
   b) tan²φ
   c) cosec²φ
   d) 0
9. 750 μA through 11kΩ → voltage:
   a) 8.25 V ✔
   b) 82.5 V
   c) 14.6 V
   d) 146 V
10. x + y = 18, x − y = 2 → (x, y) =
    a) 6, 4
    b) 8, 6
    c) 10, 8 ✔
    d) 12, 9
11. Short circuit current is:
    a) Zero
    b) Very low
    c) Normal
    d) Infinite ✔
12. Power = 3450 J/s → 1 hour energy:
    a) 0.0345 kWh
    b) 0.345 kWh ✔
    c) 3.45 kWh
    d) 34.5 kWh
13. Diagonal of square (side 8 cm):
    a) 14.44 cm
    b) 13.22 cm
    c) 11.31 cm ✔
    d) 11.24 cm
14. Keys, screws, ramps work on:
    a) Inclined plane ✔
    b) Lever
    c) Wheel & axle
    d) Pulley
15. Equivalent resistance (diagram):
    a) 60 Ω
    b) 40 Ω
    c) 30 Ω ✔
    d) 20 Ω
16. First order lever example:
    a) Lemon squeezer
    b) Wheel barrow
    c) Common balance ✔
    d) Safety valve
17. Triangle (9 cm, 12 cm) → AC:
    a) 10 cm
    b) 12 cm
    c) 13 cm
    d) 15 cm ✔
18. Not an electrical quantity:
    a) Voltage
    b) Current
    c) Distance ✔
    d) Power
19. Power = VI (0.8 A, 120 V):
    a) 96 W ✔
    b) 9.6 W
    c) 0.96 W
    d) 0.096 W
20. Sphere → cone height:
    a) 15.78 cm
    b) 16.78 cm ✔
    c) 17.78 cm
    d) 18.78 cm
21. Load 1200 kg, effort 300 kg, VR=5 → efficiency:
    a) 80% ✔
    b) 75%
    c) 70%
    d) 65%
22. Area of circular ring:
    a) π/2 (D² − d²)
    b) π/4 (D² − d²) ✔
    c) π(D − d)/2
    d) π(D − d)/4
23. Celsius–Fahrenheit relation:
    a) C/100 = (F−32)/180 ✔
    b) C/100 = (32−F)/180
    c) 100/C = (32−F)/180
    d) C/100 = 180/(F−32)
24. Volume of cylinder:
    a) πr²h ✔
    b) ½πr²h
    c) ⅔πr²h
    d) ¾πr²h
25. If MA = VR → efficiency =
    a) 70%
    b) 80%
    c) 90%
    d) 100% ✔