Home
Class 11
PHYSICS
A projectile can have the same range 'R'...

A projectile can have the same range 'R' for two angles of projection . If `'T_(1)'` and `'T_(2)'` to be times of flights in the two cases, then the product of the two times of flights is directly proportional to .

A

`R^(2)`

B

`1/R^(2)`

C

`1/R`

D

`R`

Text Solution

Verified by Experts

The correct Answer is:
4
When a body is projected at an angles `theta` and `90-theta`, the ranges for both angles are equal and the corresponding time of flights for the two ranges are `t_(1)` and `t_(2)`.
`R=(2u^(2) sin theta cos theta)/g=1/2g((2u sin theta)/g)((2u sin (90^(@)-theta))/g)`
`=1/2 g t_(1)t_(2)rArr R propt_(1)t_(2)`
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    ALLEN |Exercise Exercise-05[B]|5 Videos

  • KINEMATICS

    ALLEN |Exercise MCQ with one or more than one correct Question|1 Videos

  • KINEMATICS

    ALLEN |Exercise Exercise-04[B]|14 Videos

  • ERROR AND MEASUREMENT

    ALLEN |Exercise Part-2(Exercise-2)(B)|22 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos

Similar Questions

Explore conceptually related problems

A projectile can have the same range R for two angles of projection. If t_(1) and t_(2) be the times of flight in the two cases:-

Two projectiles are fired from the same point with the same speed at angles of projection 60^(@) and 30^(@) respectively. Which one of the following is true?

A two digit number is four times the sum and three times the product of its digits. Find the number.

Two balls A and B are thrown with speeds u and u//2 , respectively. Both the balls cover the same horizontal distance before returning to the plane of projection. If the angle of projection of ball B is 15^@ with the horizontal, then the angle of projection of A is.

A projectile is projected with some initial velocity and some initial angle of projection. A wind is also blowing, due to which constant horizontal retardation a is imparted to the particle in the plane of motion. It is found that, the particle is at same height at two different time t_(1) & t_(2) and particle is at same horizontal distance at two different time t_(3) & t_(4) Angle of projection of particle is :-

The radioactivity of a sample is R_(1) at a time T_(1) and R_(2) at time T_(2) . If the half-life of the specimen is T, the number of atoms that have disintegrated in the time (T_(2) -T_(1)) is proporational to

A projectile si thrown with velocity of 50m//s towards an inclined plane from ground such that is strikes the inclined plane perpendiclularly. The angle of projection of the projectile is 53^(@) with the horizontal and the inclined plane is inclined at an angle of 45^(@) to the horizontal. (a) Find the time of flight. (b) Find the distance between the point of projection and the foot of inclined plane.

A ball is thrown at different angles with the same speed u and from the same points and it has same range in both the cases. If y_1 and y_2 be the heights attained in the two cases, then find the value of y_1 + y_2 .

If two spheres of same material and same radius r are touching each other, then show that the gravitational force between them is directly proportional to r^4

Two liquids of densities d_(1) and d_(2) are flowing in identical capillaries under same pressure difference. If t_(1) and t_(2) are the time taken for the flow of equal quantities of liquid, then the ratio of coefficients of viscosities of liquids must be