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If 'a' stands for the edge length of the...

If `'a'` stands for the edge length of the cubic systems: simple cubic,body centred cubic and face centred cubic then the ratio of radii of the spheres inthese systems will be respectively,

A

`(1)/(a):(sqrt(3))/(4)a:(1)/(2sqrt(2))a`

B

`(1)/(2)a:(sqrt(3))/(4)a:(1)/(2sqrt(2))a`

C

`(1)/(2)a:(sqrt(3))/(2)a:(sqrt(2))/(2)a`

D

`1a:sqrt(3)a:sqrt(2)a`

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The correct Answer is:
A
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Knowledge Check

  • If a stands for the edge length of the cubic systems: simple cubic, body-centred cubic and face-centred cubic, then the ratio of radii of the spheres in these systems will be respectively

    A
    `1/2 a : sqrt3/2 a : sqrt2/2 a`
    B
    `1a : sqrt3a : sqrt2a`
    C
    `1/2 a : sqrt3/4 a : 1/(2sqrt2)a`
    D
    `1/2a : sqrt3a : 1/sqrt2 a`

  • If 'a' stands for the edge length of the cubic systems : simple cubic, body centred cubic and face centred cubic, then the ratio of the radii of the spheres in these systems will be respectively

    A
    `1/2 a : sqrt3/4a : 1/(2sqrt2)a`
    B
    `1/2a:sqrt3a:1/sqrt2a`
    C
    `1/2a : sqrt3/2 : sqrt2/2 a`
    D
    `1a : sqrt3a : sqrt2a`

  • If 'a' stands for the edge lenth of the cubic systems : simple cubic ,body centred cubic and face centred cubic, then the ratio of the radii of the spheres in these systems will be respectively

    A
    `1/2 a : sqrt3/4 a : 1/(2sqrt2) a`
    B
    `1/2 a : sqrt3 a : 1/sqrt2 a `
    C
    `1/2 a : sqrt3/2 : sqrt2/2 a `
    D
    ` 1a : sqrt3 a : sqrt a `

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