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A body is acted upon by a force towards ...

A body is acted upon by a force towards a point. The magnitude of the force is inversely proportional to the square of the distance. The path of body will be:

A

ellipse

B

hyperbola

C

circle

D

parabola

Text Solution

Verified by Experts

The correct Answer is:
A
Since it obeys inverse square law and represent ellipse, for example path of the planet around the Sun and the force acts between Sun and Planet proportional to `(1)/(r^2)`.
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Knowledge Check

  • If the force acting on a body is inversely proportional to its speed, the kinetic energy of the body is:

    A
    constant
    B
    directly proportional to time
    C
    inversely proportional to time
    D
    directly proportional to the square of time

  • If the force is proportional to square of velocity, then the dimension of proportionality constant is :

    A
    `[MLT^(0)]`
    B
    `[MLT^(-1)]`
    C
    `[ML^(-2)T]`
    D
    `[ML^(-1)T^(0)]`

  • If the force is proportional to square of velocity, then the dimension of proportionality constant is :

    A
    `[MLT^(0)]`
    B
    `[MLT^(-1)]`
    C
    `[ML^(-2)T]`
    D
    `[ML^(-1)T^(0)]`

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    The force of attraction between two objects is directly proportional to the product of their ………… and inversely proportional to the square of the …………. Between them.

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