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Assertion In projectile motion, if time ...

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

Text Solution

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The correct Answer is:
A
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In the following questions, a statement of assertion is followed by a statement of reason (R). Mark the correct choice as : Assertion. For a projectile the time of flight of a body becomes n times the original value if its speed is made n times. Reason. For a projectile, this is due to the range of the projectile which becomes n times.

Find the angle of projection for a projectile motion whose rang R is (n) time the maximum height H .

Knowledge Check

  • Assertion In projectile motion, if time of flight is 4s, then maximum height will be 20 m. (Take, g = 10 ms^(-2)) Reason Maximum height = (gT)/(2) .

    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

  • 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.

  • The relation between the time of flight of projectile T_f and the time to reach the maximum height T_m is

    A
    `T_f = 2T_m`
    B
    `T_f = T_m`
    C
    `T_f = (T_m)/(2)`
    D
    `T_f = sqrt(2) (T_m)`

    • Similar Questions

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    If T be the total time of flight and H be the maximum height attained by a stone from the point of projection, then H//T will be ( u=projection velocity and theta =projection angle )

    Prove that the time of flight T and the horizontal range R of a projectile are connected by the equation: gT^2 =2 R tan theta , where theta is the angle of projection.

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    The relation between the time of flight of projectile T_(f) and the time to reach the maximum height t_(m) is

    Assertion: In projectile motion, when horizontal range is n times the maximum height, the angle of projection is given by tan theta=(4)/(n) Reason: In the case of horizontal projection the vertical increases with time.

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