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A piece of lead falls from a height of 1...

A piece of lead falls from a height of 100m on a fixed non-conducting slab which brings it to rest. If the specific heat of lead is 30.6 cal/kg `.^(@)C`, the increase in temperature of the slab immediately after collision is

A

`6.72^(@)C`

B

`7.62^(@)C`

C

`5.62^(@)C`

D

`8.72^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
B
`mgh=JmSDeltathetarArrDeltatheta=(gh)/(JS)`
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Knowledge Check

  • A piece of aluminium falls from a height of 200 m on a fixed non conductig slab which brings it to rest. If the specific heat of aluminium is 210 Cal//kg^(@)C . The increase in temperature of the slab immediately after collision (assume that there is no loss of heat) is

    A
    `2.2^(@)C`
    B
    `3.3^(@)C`
    C
    `4.4^(@)C`
    D
    `5.5^(@)C`

  • A brass sphere of mass 0.2kg falls freely from a height of 20m and bounces to a height of 8m from the ground. If the dissipated energy in this process is absorbed by the sphere the eise in its temperature is (specific heat of brass =360 J kg^(-1)K^(-1) , g=10ms^(-2) )

    A
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  • A steel ball of mass 0.1 kg falls freely from a height of 10 m and bounces to a height of 5.4 m from the ground. If the dissipated energy in this process is absorbed by the ball, the rise in its temperature is (specific heat of steel =460 K//kg^(@)//C,g=10 m//s^(2) )

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