Surveying and Levelling

101. If D is the degree of the curve of radius R, the exact length of its specified chord, is

  1. Radius of the curve × sine of half the degree
  2. Diameter of the curve × sine of half the degree
  3. Diameter of the curve × cosine of half the degree
  4. Diameter of the curve × tangent of half the degree

Correct answer: (B)
Diameter of the curve × sine of half the degree

102. If deflection angles are measured in a closed traverse, the difference between the sum of the right-hand and that of the left hand angles should be equal to

  1. 0°
  2. 90°
  3. 180°
  4. 360°

Correct answer: (D)
360°

103. If 'F' is the pull applied at the ends of tape in kg, 'l' is the length of tape between end marks in metres, 'w' is the weight of the tape in kg per metre run, then sag correction

  1. C = w2l3/24F2
  2. C = w3l2/24F2
  3. C = w2l3/24F3
  4. C = 24w2l3/80F3

Correct answer: (A)
C = w2l3/24F2

104. If f1 and f2 are the distances from the optical centre of a convex lens of focal length 'f' to conjugate two points P1 and P2 respectively, the following relationship holds good

  1. f = f1 + f2
  2. f = ½ (f1 + f2)
  3. 1/f = 1/f1 + 1/f2
  4. None of these

Correct answer: (C)
1/f = 1/f1 + 1/f2

105. If h1 and h2 are the differences in level between ground and the formation levels, m is the slope of the sloping sides. D is the distance between the cross sections then, Prismoidal correction for a level section is

  1. D/2m(h1 - h2)
  2. D/3m(h1 - h2)
  3. D/6m(h1 - h2)2
  4. D/6m(h1 - h2)3

Correct answer: (C)
D/6m(h1 - h2)2

106. If in a closed traverse, the sum of the north latitudes is more than the sum of the south latitudes and also the sum of west departures than the sum of the east departures, the bearing of the closing line is in the

  1. NE quadrant
  2. SE quadrant
  3. NW quadrant
  4. SW quadrant

Correct answer: (B)
SE quadrant

107. If is in kilometres, the curvature correction is

  1. 58.2 L2 mm
  2. 64.8 L2 mm
  3. 74.8 L2 mm
  4. 78.4 L2 mm

Correct answer: (D)
78.4 L2 mm

108. If is the difference in height between end points of a chain of length , the required slope correction is

  1. h2/2l
  2. h/2l
  3. h2/l
  4. 2h2/2l

Correct answer: (A)
h2/2l

109. If is the difference in level between end points separated by 'l', then the slope correction is [(h2/2l) + (h4/8l3)]. The second term may be neglected if the value of 'h' in a 20 m distance is less than

  1. ½ m
  2. 1 m
  3. 2 m
  4. 3 m

Correct answer: (D)
3 m

110. If is the speed of a locomotive in km per hour, 'g' is the acceleration due to gravity, 'G' is thedistance between running faces of the rails and 'R' is the radius of the circular curve, the required super elevation is

  1. gV2/GR
  2. Rg/GV2
  3. GR/gV2
  4. GV2/gR

Correct answer: (D)
GV2/gR

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