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An infinite number of particles each of mass `m` are placed on the positive X-axis of `1m, 2m, 4m, 8m,...` from the origin. Find the magnitude of the resultant gravitational force on mass `m` kept at the origin.

A

`-8Gm`

B

`-3Gm`

C

`-4Gm`

D

`-2Gm`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • A number of particles each of mass 0.75kg are placed at distances 1m, 2m, 4m, 8m etc. from origin along positive X axis. the intensity of gravitational field at the origin will be -

    A
    G
    B
    `3/4 G`
    C
    `1/2 G`
    D
    zero

  • Infinite number of masses each are placed along the - axis at x=pm1 m,+pm 2m, pm4m,pm8m,pm16m….. The magnitude of the resultant gravitational potential in terms of gravitational constant at the origin ( x=0) is

    A
    `(G)/(2)`
    B
    G
    C
    2G
    D
    4G

  • Infinite number of masses, each 1 kg, are placed along the x - axi s x =pm1m, pm2m, pm4m, pm8m,….pm16m The magnitude of the resultant gravitationa potential in terms of gravitational constant G at the origin (x=0) is

    A
    G
    B
    3G
    C
    2G
    D
    8G
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