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Asphere, a disc and a ring of the same m...

Asphere, a disc and a ring of the same mass but of different density and radii are allowed to roll down on an inclined plane without slipping simultaneously, through the same height, then:

A

The body of greater.density will reach the bottom earliest

B

The body of least density will reach will reach the bottom earliest

C

The sphere will reach the bottom earlier

D

The ring will reach the bottom with the least linear momentum.

Text Solution

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The correct Answer is:
C, D
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Knowledge Check

  • A ring is allowed to roll down on an incline of 1 in 10 without slipping. The acceleration of its centre of mass is

    A
    `9.8 ms^(-2)`
    B
    `4.9 ms^(-2)`
    C
    `0.98 ms^(-2)`
    D
    `0.49ms^(-2)`
  • A sphere of moment of inertia 'I' and mass 'm' rolls down on an inclined plane without slipping its K.E. of rolling is

    A
    `I omega + mv`
    B
    `0.5 mv^(2)`
    C
    `0.5 I omega^(2)`
    D
    `0.5 I omega^(2)+0.5 mv^(2)`
  • A sphere and circular disc of same mass and radius are allowed to roll down an inclined plane from the same height without slipping. Find the ratio of times taken by these two to come to the bottom of incline :

    A
    `sqrt(14):sqrt(15)`
    B
    `15: 14`
    C
    `sqrt(2) :1`
    D
    `7: 9`
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