2. This question consists of 20 (Twenty) multiple choice type sub-questions, each carrying TWO marks. The answers to the multiple choice questions MUST be, written only in the boxes corresponding to the question numbers writing A, B, C or D in the answer book. (20 x 2 = 40)

2.1 lf c is a constant, solution of the equation = 1 +y 2 is

(a) y = sin (x + c) (b) y = cos (x + c)

(c) Y = tan (x + c) (d) Y = e x + c

 

2.2 The equation represents a parabola passing through the points

(a) (0, 1), (0, 2), (0, - 1) (b) (0, 0), (- 1, 1), (1, 2)

(c) (1, 1), (0, 0), (2, 2) (d) (1, 2), (2, 1), (0, 0)

 

2.3 The Laplace transform of the function

f(t) = k, 0 < t < C

= 0, c < t < ¥ , is

(a)

 

(b)

(c)

(d)

 

2.4 Value of the function lim (x- a) (x-a) is

x ® a

 

• 1
• 0
• ¥
• a

 

2.5 The shape factor of the section shown in Fig. 1 is

• 1.5
• 1.12
• 2
• 1.7

2.6 The slope of the elastic curve at the free end of a cantilever beam of span L, and with flexural rigidity EI, subjected to uniformly distributed load of intensity w is

 

(a)

(b)

 

(c)

 

(d)

 

2.7 If an element of a stressed body is in a state of pure shear with a magnitude of

80N/mn 2, the magnitude of maximum principal stress at that location is

(a) 80 N/mm 2 (b) 113.14 N/mm 2

(c) 120 N/mm 2 (d) 56.57 N/mm 2

 

2.8 Two steel plates each of width 150 mm and thickness 10 mm are connected with three 20 mm diameter rivets placed in a zig - zag pattern. The pitch of the rivets is 75 mm and gauge is 60 mm. If the allowable tensile stress is 150 MPs, the maximum tensile force that the joint can withstand is

(a) 195.66 kN (b) 195.00 kN

(c) 192.75 kN (d) 225.00 kN

 

 

2.9 The two tubes shown in Fig. 2 may be considered to be permeameters. Dimensions of the

sample in Fig. 2 (i) & (ii) are alike, and the elevations of head water and tail water are

the same for both the figures. A, B,……..etc. indicate points and AB, AE,….etc. indicated

heads. Head loss through these samples are

 

• (i) BD, (ii) FE
• (i)AC, (ii)AE
• (i) AD, (ii) AF
• (i) AB, (ii) AB

 

2.10 A river 5 m deep consists of a sand bed with saturated unit weight of 20 kN/m 3

v w = 9.81 kN/m 3. The effective vertical stress at 5m from the top of sand bed is

 

(a) 41 kN/m 2 (b) 51 kN/m 2

(c) 55 kN/m 2 (d) 53 kN/m 2