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A particle falls towards the earth from ...

A particle falls towards the earth from inifinity. The velocity with which it reaches the earth is surface is

A

`v=2gR`

B

`v=sqrt(2gR)`

C

`V=sqrt(gR)`

D

`v=gR`

Text Solution

Verified by Experts

The correct Answer is:
B
The projecting body having same final velocity to reach projecting place. So, `v=sqrt(2gR)`
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Knowledge Check

  • A particle falls towards earth from infinity. Its velocity on reaching the earth would be

    A
    infinity
    B
    `sqrt(2gR)`
    C
    `2sqrt(gR)`
    D
    zero

  • A body falls freely towards the earth with

    A
    uniform speed
    B
    uniform velocity
    C
    uniform acceleration
    D
    none of these

  • A small body of mass m falls to the earth from infintie distance away. What will be its velocity or reaching the earth? (Radius of the earth = R, acceleration due to gravity on the surface of the earth is g) :-

    A
    `gR`
    B
    2gR
    C
    `sqrt(gR)`
    D
    `sqrt(2gR)`

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