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A solid sphere of mass 1 kg, redius 10 c...

A solid sphere of mass 1 kg, redius 10 cm rolls down an inclined plane of height 7m. The velocity of its centre as it reaches the ground level is

A

7 m/s

B

10m/s

C

15 m/s

D

20 m/s

Text Solution

Verified by Experts

The correct Answer is:
B

Velocity at the loweset point,
`v=sqrt((2gh)/(1+(K^(2))/(R^(2))))`
`thereforev=sqrt((2xx10xx7)/(1+(2)/(5)))=10m//s`
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Knowledge Check

  • A solid sphere of mass I kg, radius 10 cm rolls down an inclined plane of height 7 m. The velocity of its centre as it reaches the ground level is

    A
    7 m/s
    B
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    `(1)/(2R)sqrt(gh)`
    B
    `(2)/(R)sqrt(gh)`
    C
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