For a given velocity of a projectile, the range is maximum when the angle of projection is___________________?

Related Mcqs:

1. A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about__________________?

   A. 1/4
   B. 1/3
   C. 1/2
   D. 1/5

   Assume g = 10 m/sec2

2. The angle of projection at which the horizontal range and maximum height of a projectile are equal to___________________?

   A. 45°
   B. tan-1 (2)
   C. tan-‘ (4)
   D. tan”1 (1/4)

3. The angle of projection at which the horizontal range and maximum height of a projectile are equal to_____________________?

   A. 36°
   B. 45°
   C. 56°
   D. 76°

4. If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is__________________?

   A. zero
   B. maximum
   C. minimum
   D. unpredictable

5. If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are___________________?

   A. 0 and 5 m/sec
   B. 5 m/sec and 0
   C. 5 V3 m/sec and 0
   D. 5 and 5V3 m/sec

6. The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is__________________?

   A. 98 m
   B. 490 m
   C. 980 m
   D. 1960 m

7. A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

   A. 15°
   B. 30°
   C. 45°
   D. 75°

8. A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is______________________?

   A. 3/4
   B. 4/5
   C. 5/3
   D. 3/5

9. A ladder of weight ‘w’ rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight ‘w’ is to walk to the top of it safely, is tan’1 x, where x is___________________?

   A. 1/4
   B. 1/3
   C. 3
   D. 4

10. A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is___________________?

    A. 1.00 m/sec
    B. 1.57 m/sec
    C. 3.14 m/sec
    D. 6.28 m/sec