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Consider following statements (1) CM o...

Consider following statements
(1) CM of a uniform semicircular disc of radius R is 2R/`pi` from the centre
(2) CM of a uniform semicircular ring of radius R is 4R/3`pi` from the centre
(3) CM of a solid hemisphere of radius R is 4R/3`pi` from the centre
(4) CM of a hemisphere shell of radius R is R/2 from the centre
Which statements are correct?

A

1,2,4

B

1,2,3

C

4 only

D

1,2only

Text Solution

Verified by Experts

The correct Answer is:
C
3
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Knowledge Check

  • The distance of the centre of mass of a hemispherical shell of radius R from its centre is

    A
    `R/2`
    B
    `R/3`
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    `(2R)/2`
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  • The potential at a distance R//2 from the centre of a conducting sphere of radius R will be

    A
    `0`
    B
    `(Q)/(8pi epsilon_(0)R)`
    C
    `(Q)/(4pi epsilon_(0)R)`
    D
    `(Q)/(2pi epsilon_(0)R)`

  • A circular disc of radius R is removed from a bigger circular disc of radius 2R, such that the circumference of the disc coincides. The centre of mass of the new disc is αR from the centre of bigger disc. The value of alpha is

    A
    `1/3`
    B
    `1/2`
    C
    `1/6`
    D
    `1/4`

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