Home
Class 11
PHYSICS
The maximum range of a rifle bullet on t...

The maximum range of a rifle bullet on the horizontal ground is `6 km`. Find its maximum range on an inclined of `30^@`.

Text Solution

Verified by Experts

Maximum range on horizontal plane, `R = (u^2)/(g) = 6 km` (given)
Maximum range on a inclined plane, `R_(max) = (u^2)/(g(1 + sin prop))`
Putting `prop = 30^@`
`R_(max) = (u^2)/(g(1 + sin 30^@)) = (2)/(3) ((u^2)/(g)) = (2)/(3) xx 6 = 4 km`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Exercise 5.3|12 Videos

  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Exercise 5.4|11 Videos

  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Exercise 5.1|15 Videos

  • KINEMATICS-1

    CENGAGE PHYSICS|Exercise Integer|9 Videos

  • KINETIC THEORY OF GASES

    CENGAGE PHYSICS|Exercise Compression|2 Videos

Similar Questions

Explore conceptually related problems

The range of a rifle bullet on level ground is 60 m. The range (in m) upon incline of 30^@ is . (Take g=10m//s^2 )

For which angle of projection the horizontal range is 5 times the maximum height attrained ?

Knowledge Check

  • The ratio of the range of the particle and its maximum range in the inclined plane is:

    A
    `1:2`
    B
    `1:sqrt(2)`
    C
    `1:sqrt(3)`
    D
    `1:1`

  • The maximum range of ground or surface wave propagation depends on-

    A
    the frequency of the radiowaves only
    B
    power of the transmitter only
    C
    both of them
    D
    none of them

  • The maximum range of a gun of horizontal terrain is 16 km. If g = 10 mis, then the muzzle velocity of a shell must be

    A
    `200sqrt2 m//s`
    B
    `160 m//s`
    C
    `800 m//s`
    D
    `400 m//s`

    • Similar Questions

    Explore conceptually related problems

    A gun of mass M(including the carriage) fires a shot of mass m . The gun along with the carriage is kept on a smooth horizontal surface. The muzzle speed of the bullet v_r is constant. Find (a) The elevation of the gun with horizontal at which maximum range of bullet with respect to the ground is obtained. (b) The maximum range of the bullet.

    For a projectile if the time of flight is T , the maximum height is H and the horizontal range is R . Find the (a) the maximum height in terms of T and (b) the maximum horizontal range in terms of R and H .

    The maximum range of a projectile is 500m. If the particle is thrown up a plane is inclined at an angle of 30^(@) with the same speed, the distance (in meter) covered by it along the inclined plane will be:

    A particle is projected from the bottom of an inclined plane of inclination 30^@ . At what angle alpha (from the horizontal) should the particle be projected to get the maximum range on the inclined plane.

    The maximum range of a gun of horizontal terrain is 16 km. If g = 10 mis, then the muzzle velocity of a shell must be

    Home
    Profile