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__________________?

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

   A. 30°
   B. 45°
   C. 90°
   D. 0°

3. 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)

4. 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°

5. A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is_____________________?

   A. less than (1/3) tan 0
   B. less than (2/3) tan 0
   C. less than (1/3) sin 6
   D. less than (2/3) sin 6

6. 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

7. 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

8. 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

9. 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°

10. A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is_______________?

    A. (1/3) g sin0
    B. (2/5) g sin 0
    C. (3/7) g sin 0
    D. (5/7) g sin0

    where g is acceleration due to gravity