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Statement 1: The value of escape velocit...

Statement 1: The value of escape velocity from the surface of earth at `30^@` and `60^@` is `v_(1)=2v_(e), v_(2)=2//3v_(e)`.
Statement II: The value of escape velocity is independent of angle of projection.

A

Statement I is True, Statement II is True: Statement II is a correct explanation for Statement I.

B

Statement I is True, Statement II is True: Statement II is Not a correct explanation for Statement I.

C

Statement I is True, Statement II is False.

D

Statement I is False, Statement II is True.

Text Solution

Verified by Experts

The correct Answer is:
D
The value of escape velocity is derived from the method of conservation of total mechanical energy and energy is independnet of direction.
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Knowledge Check

  • The relation between escape velocity (v_e) from the surface of the earth, and the orbital velocity (v_e) is

    A
    `sqrt2V_e=V`
    B
    `V_e=sqrt2V_o`
    C
    `V_e=2V_o`
    D
    `4V_e=3V_o`

  • Statement I : Escape velocity of a tennis ball from the surface of earth is the same as the escape velocity of a cricket ball from the surface of earth. Statement II : Escape velocity of a body is independent of the mass of the body

    A
    If both statement -I and Statement -II are true , and statement-II is the correct explanation of statement -I
    B
    If both statemenrt-I and Statement-II are true but statement-II is not the correct explanation of statement -I
    C
    If statement -I is true but statement -II is false.
    D
    If statement -I is true but statement -II is true

  • The escape velocity of a body from the earth's surface, v_("esc")= ……….. .

    A
    `sqrt((GM)/(R))`
    B
    `2sqrt((GM)/(R))`
    C
    `sqrt((2GM)/(R))`
    D
    `sqrt((GM)/(2R))`