41. A light house of 120 m height is just visible above the horizon from a ship. The correct distance (m) between the ship and the light house considering combined correction for curvature and refraction, is
    

1. 1. 39.098
      

   
   
   

   2. 422.26
      

   
   
   

   3. 39.98
      

   
   
   

   4. 42.226

   
   
   

---

1. View Hint View Answer Discuss in Forum

   h =	D2	(1 - 2m)
   	2R

   
   h₁ = 0.0673D²
   ∴ D = 3.856 √h
   D = 3.856 √120 = 42.23 km.

   Correct Option: D

   h =	D2	(1 - 2m)
   	2R

   
   h₁ = 0.0673D²
   ∴ D = 3.856 √h
   D = 3.856 √120 = 42.23 km.

---

42. A road is provided with a horizontal circular curve having deflection angle of 55° and centre line radius of 250 m. A transition curve is to be provided at each end of the circular curve of such a length that the rate of gain of radial acceleration is 0.3 m/s³ at a speed of 50 km per hour. Length of the transition curve required at each of the ends is
    

1. 1. 2.57 m
      

   
   
   

   2. 33.33 m
      

   
   
   

   3. 35.73 m
      

   
   
   

   4. 1666.67 m

   
   
   

---

1. View Hint View Answer Discuss in Forum

   Ls =	V3
   	αR

   
   

   =	50 × 1000	= 13.89 m /s.
   	60 × 60

   
   α = 0.3 m /s² / m
   

   Deviation angle , Ls =	13.892	= 35.722
   	0.3 × 250

   Correct Option: C

   Ls =	V3
   	αR

   
   

   =	50 × 1000	= 13.89 m /s.
   	60 × 60

   
   α = 0.3 m /s² / m
   

   Deviation angle , Ls =	13.892	= 35.722
   	0.3 × 250

---

---