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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, 3, 4

C

4 only

D

1, 2 only

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Consider following statements [1] CM of a uniform semicircular disc of radius R=2R//pi from the centre [2] CM of a uniform semicircular ring of radius R=4R//pi from the centre [3] CM of a solid hemisphere of radius R=4R//3pi from the centre [4] CM of hemisphere shell of radius R=R//2 from the centre Which statements are correct

    A
    1,2,4
    B
    1,2,3
    C
    4 only
    D
    1,2only

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

    A
    `R/2`
    B
    `R/3`
    C
    `(2R)/2`
    D
    `(2R)/3`

  • 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)`

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