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For an object thrown at 45^(@) to the ho...

For an object thrown at `45^(@)` to the horizontal, the maximum height H and horizontal range R are related as

A

`R=16H`

B

`R=8H`

C

`R=4H`

D

`R=2H`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • For an object thrown at 30^(@) to horizontal. The maximum beight (H) and horizontal range (R) are related as :

    A
    R = 16 H
    B
    It = `4 sqrt 3H`
    C
    `R= 2 sqrt 2H`
    D
    R =2H

  • A stone projected with a velocity u at an angle theta with the horizontal reaches maximum height H_1 . When it is projected with velocity u at an angle (pi/2 - theta) with the horizontal, it reaches maximum height H_2 . The relation between the horizontal range R of the projectile, heights H_1 and H_2 is

    A
    `R= 4sqrt(H_1 H_2)`
    B
    `R= 4(H_1 - H_2)`
    C
    `R=4(H_1 + H_2)`
    D
    `R= (H_1^2)/(H_2^2)`

  • If R is the range of a projectiel on a horizontal plane and h its maximum height, the maximum horizontal range with the same velocity of projection is:

    A
    2h
    B
    `(R^(2))/(8h)`
    C
    `2R+(h^(2))/(8R)`
    D
    `2h+(R^(2))/(8h)`

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