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What will be the ratio of time of fligh...

What will be the ratio of time of flights of two projectiles fired at angles of `theta and 90^(@)- theta` ?

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To find the ratio of the time of flight of two projectiles fired at angles \( \theta \) and \( 90^\circ - \theta \), we can follow these steps: ### Step 1: Understand the formula for time of flight The time of flight \( T \) for a projectile is given by the formula: \[ T = \frac{2u \sin \theta}{g} \] where \( u \) is the initial velocity, \( g \) is the acceleration due to gravity, and \( \theta \) is the angle of projection. ...
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Define time of flight for a projectile .

Two bullets are fired at angles theta and 90-theta the ratio of their time of flights is (A) Tan theta:1 (B) 1:Tan theta (C) Tan^(2)theta:1 (D) 1:Tan^(2)theta

Knowledge Check

  • The time of flight of the projectile is:

    A
    `asqrt(2/(bg))`
    B
    `a/sqrt(bg)`
    C
    `sqrt((2a)/(bg))`
    D
    `sqrt(a/(2bg))`

  • Galileo writes that for angles of projection of a projectile at angles (45 + theta) and (45 - theta) , the horizontal ranges described by the projectile are in the ratio of (if theta le 45 )

    A
    `2 : 1`
    B
    `1: 2`
    C
    `1 : 1`
    D
    `2 : 3`

  • In Rutherford scattering experiment, wha will be the ratio of impact parameter for scattering angles theta_(1)=90^(@) and theta_(2)=120^(@)

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

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    A projectile is fired at an angle theta with horizontal. (a) Show that its trajectory is a parabola (b) Prove that for a given velocity of projection the horizontal range is same for (90^(@)-theta) (c) Obtain an expression for velocity of projectile at any instant.

    A projectile is fired from the base of coneshaped hill. The projectile grazes the vertex and strikes the hill again at the base.If alpha be the half-angle of the cone, h its height, u the initial velocity of projection and theta angle of projection, then then theta tan theta is

    On an inclined plane two particles A and B are projected with same speed at the same angle with the horizontal, particle A down and particle B up the plane. If the ratio of time of flight of A and B is cot theta , where theta is the angle at which B is projected measured from inclined plane, find the angle at which particles are projected.

    A projectile has a time of flight T and range R . If the time of flight is doubled, keeping the angle of projection same, what happens to the range ?

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