Workshop Calculations Semester 3 January 2018

Workshop Calculation & Science - Semester III (Jan 2018)

1. If one angle of a triangle equals the sum of the other two, the triangle is:
   a) Right angle triangle ✔
   b) Isosceles triangle
   c) Acute angled triangle
   d) Obtuse angled triangle
2. Angles in ratio 2:4:3 → smallest angle =
   a) 60°
   b) 40° ✔
   c) 80°
   d) 20°
3. Part of circumference of a circle is called:
   a) Diameter
   b) Radius
   c) Arc ✔
   d) Chord
4. Number of tangents from a point on the circle:
   a) 2
   b) 3
   c) 0
   d) Infinite ✔
5. Complementary angle of 62°:
   a) 38° ✔
   b) 28°
   c) 118°
   d) 62°
6. Area of sector (r = 6 cm, θ = 100°):
   a) 62.8
   b) 31.4 ✔
   c) 10.5
   d) 5.2
7. Plate 6×12 cm with six holes of 3 cm dia → remaining area:
   a) 7.06 cm²
   b) 42.39 cm²
   c) 192 cm² ✔
   d) 29.6 cm²
8. If radius is halved and height doubled (cylinder), volume:
   a) Same
   b) Halved
   c) Double
   d) Four times ✔
9. Radius ↑10% → volume increase ≈
   a) 10.1
   b) 33.1
   c) 44.5
   d) 33.1 ✔
10. Circle areas ratio 1:2 → squares ratio:
    a) 1:2 ✔
    b) 1:4
    c) 1:√2
    d) 1:3
11. Observer 1.6 m tall, 20√3 m away, angle 30° → tower height:
    a) 21.6 m
    b) 23.2 m ✔
    c) 24.72 m
    d) None
12. Property of regaining original shape:
    a) Plasticity
    b) Elasticity ✔
    c) Tenacity
    d) Malleability
13. Ratio lateral strain / linear strain:
    a) Modulus of elasticity
    b) Modulus of rigidity
    c) Bulk modulus
    d) Poisson’s ratio ✔
14. Increase in length formula:
    a) PL/A²E
    b) PL/AE ✔
    c) PLA/E
    d) AE/PL
15. Specific heat of aluminium:
    a) 900 J/kg°C ✔
    b) 600 J/kg°C
    c) 226 J/kg°C
    d) 448 J/kg°C
16. Heat required (200 g water, 20→40°C):
    a) 400 cal
    b) 4×10³ cal ✔
    c) 800 cal
    d) Zero
17. Centrifugal force direction:
    a) Towards centre
    b) Away from centre ✔
    c) Tangent
    d) Normal
18. Linear velocity =
    a) r / ω
    b) r × ω ✔
    c) r² × ω
    d) ω / r
19. Supplementary angle of 62°:
    a) 38°
    b) 28°
    c) 118° ✔
    d) 62°
20. Speed = 6 m/s for 3 min → distance:
    a) 20 m
    b) 18 m
    c) 30 m
    d) 1080 m ✔
21. Thermal conductivity with temperature:
    a) Increases
    b) Decreases ✔
    c) Same
    d) None
22. Carbon ↑ in steel → stress:
    a) Increases ✔
    b) Decreases
    c) Same
    d) None
23. Ladder (60°, base 4.6 m) → length:
    a) 2.3 m
    b) 4.6 m
    c) 7.8 m
    d) 9.2 m ✔
24. Force 2 kN at 60° → x-component:
    a) 1.414 kN
    b) 1.00 kN ✔
    c) 1.73 kN
    d) 2.414 kN
25. Breaking stress is:
    a) Greater than ultimate stress
    b) Less than ultimate stress ✔
    c) Equal to ultimate stress
    d) None