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Assertion : If time of flight in a proje...

Assertion : If time of flight in a projectile motion is made two times, its maximum height will become four times.
Reason : In projectile motion `H prop T^2` , where H is maximum height and T the time of flight.

A

(a)If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

(b)If both Assertion and Reason are true and the Reason is not the correct explanation of the Assertion.

C

(c) If Assertion is true, but the Reason is false.

D

(d) If Assertion is false, but the Reason is true.

Text Solution

Verified by Experts

The correct Answer is:
A
`T = (2usintheta)/g rArr usintheta = (gT)/2`
`H = (u^2sin^2theta)/(2g) = ((gT//2)^2/(2g))`
or `H prop T^2`.
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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))`

  • Assertion In projectile motion, if time of flight is made two times, then maximum height will become four times. Reason T prop sin theta and H prop sin^(2) theta , where theta is angle of projection.

    A
    If both Asseration and Reason are correct and Reason is the correct explanation of Assertion
    B
    If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion
    C
    If Assertion is true but Reason is false
    D
    If Assertion is false but Reason is true

  • In a projectile motion, velocity at maximum height is

    A
    `(u cos theta)/(2)`
    B
    `u cos theta`
    C
    `(u sin theta)/(2)`
    D
    None of these

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