Home
Class 11
PHYSICS
An aeroplane is travelling at a height o...

An aeroplane is travelling at a height of 2000 m from the ground. The aeroplane, when at a point P, drops a bomb to hit a stationary target Q on the ground. In order that the bomb hits the target, what angle `theta` must the line PQ make with the vertical? `[g=10 ms^(-2)]`

A

`45^(@)`

B

`30^(@)`

C

`60^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
Let t be the time taken by bomb to hit the target.
`h = 2000 = (1)/(2) g t^(2) rArr t = 20s`

`R = ut = (100) (20) = 200m`
`:' tan theta = (R)/(h) = (2000)/(2000) = 1 rArr theta = 45^(@)`
Promotional Banner

Topper's Solved these Questions

  • MOTION

    DC PANDEY|Exercise A. Taking it together|1 Videos

  • MOTION

    DC PANDEY|Exercise Taking it together|96 Videos

  • MOTION

    DC PANDEY|Exercise Check Point 4.2|20 Videos

  • MEASUREMENT AND ERRORS

    DC PANDEY|Exercise Subjective|19 Videos

  • MOTION IN A PLANE

    DC PANDEY|Exercise (C )Medical entrances gallery|32 Videos

Similar Questions

Explore conceptually related problems

An aeroplane is flying at a height of 1960 m in horizontal direction with a velocity of 360 km/hr. When it is vertically above the point. A on the ground, it drops a bomb. The bomb strikes a point B on the ground, then the time taken by the bomb to reach the ground is-

An aeroplane moving horizontally at a speed of 200 m//s and at a height of 8.0 xx 10^(3)m is to drop a bomb on a target. At what horizontal distance from the target should the bomb be released

A plane is flying horizontal at a height of 1000m with a velocity of 100 ms^(-1) when a bomb is released from it. Find (i) the time taken by it to reach the ground (ii) the velocity with which the bomb hits the target and (iii) the distance of the target.

An aeroplane when flying at a height of 4000m from the ground passes vertically above another aeroplane at an instant when the angles of the elevation of the two planes from the same point on the ground are 60o and 45o respectively.Find the vertical distance between the aeroplanes at that instant.

A balloon is going up with a uniform speed 20 m/s. It was at a height of 100 m from ground, when a stone is dropped from its basket. Find the time taken by the stone to reach the groimd and the height of the balloon from the ground, when stone hits the ground. (Take g = 10 m//s^(2) )

A bomb is flying horizontally at a heitht of 2000 m with a speed of 200 ms^(-1) . When a bomb is relesed from it . Find (i) the time taken by bomb to resch the ground(ii) the velocity with which the bomb hits the target and the distance of the target and the distance of the target from where the bomb is dropped. Take g=10 m//s^(-2) .

An aeroplane when flying at a height of 4000m from the ground passes vertically above another aeroplane at an instant when the angles of the elevation of the two planes from the same point on the ground are 60^(0)&&45^(0) respectively.Find the vertical distance between the aeroplanes at that instant.

An aeroplane flying horizontally with a speed of 360 km h^(-1) releases a bomb at a height of 490 m from the ground. If g = 9. 8 m s^(-2) , it will strike the ground at

An areoplane is flying horizontally with a velocity 720km//h at a height of 2000 m . When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the gound at point B . The distance AB is