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A waterfall whose vertical height is 100...

A waterfall whose vertical height is `100m` discharges water into a pool below the fall. Calculate the rise in temperature of water assuming that all the heat remains in the water. (Specific heat capacity of water `=4200J kg^(-1)K^(-1)`)

A

`0.15^(@)C`

B

`0.75^(@)C`

C

`0.24^(@)C`

D

`0.48^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
C
According to Newton's second low
`F xxt = m(v-u)=mv-mu`
`therefore 0.2xx10mv-10 " " therefore mv = 10+2=12`
`therefore` Final velocity `=(mv)/(m)=(12)/(5)=2.4 m//s`
and Initial velocity `=(mu)/(5)=(10)/(5)=2m//s`
`therefore` Change in K.E. `=(1)/(2)m(v_(2)^(2)-v_(1)^(2))`
`=(1)/(2)xx5xx[(2.4)^(2)-(2)^(2)]`
`=(5)/(2)xx1.76=4.4J`
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