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A lead bullet strikes against a steel pl...

A lead bullet strikes against a steel plate with a velocity 200 `ms^(-1)`. If the impact is perfectly inelastic and the heat produced is equally shared between the bullet and the target, then the rise in temperature of the bullet is (Specific heat capacity of lead = 125 J `kg^(-1) K^(-1)`)

A

`80^(@)C`

B

`60^(@)C`

C

`160^(@)C`

D

`40^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
A
Hence `= (1)/(2) xx (1)/(2) mv^(2) = (1)/(4) m xx 4 xx 10^(4) = 125 xx Delta T xx m`
`Delta T = 4 xx (10^(4))/(500) = 80^(@)C`
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