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A projectile can have the same range R f...

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:-

A

`R^(2)`

B

`1/(R^(2)`

C

`1/R`

D

R

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • 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`
    B
    `(1)/(R )`
    C
    `(1)/(R^(2) )`
    D
    `R ^(2)`
  • For a given velocity, a projectile has the same range R for two angles of rpojection if t_(1) and t_(2) are the times of flight in the two cases then

    A
    `t_(1)t_(2) prop R^(2)`
    B
    ` t_(1)t_prop R`
    C
    `t_(1)t_(2) prop (1)/(R )`
    D
    `t_(1)t_(2) prop (1)/( R^(2))`
  • A projectile can have the same range R for two angle of projection . If t-1 and t_2 be the terms of flight in the two cased then the initial velocity of projectile is?

    A
    `1/4 gt t_1 t_2`
    B
    `1/2 gt t_1 t_2`
    C
    ` 1/2 gt (t_1 +t_2)^2`
    D
    `1/2 gt (t_1^2 +t_2^2)^(1/2)`
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