1.

A bullet moving with velocity upsilon stops suddenly after hitting the target and whole of its mass m melts. If s is the specific heat, L the latent heat and its initial temp. is 25^(@)C and melting point. is 475^(@)C, then the velocity upsilon is given by:

Answer»

mL =ms `(475-25)+(1)/(2) mv^(2)//J`
ms `(475-25)+mL=(1)/(2) mv^(2)//J`
ms `(475-25)+mL=2J//mv^(2)`
None of the above.

Solution :WORK DONE `W=(1)/(2) mv^(2)`.
HEAT produced `Q=(W)/(J) (mv^(2))/(2J)`
Heat required to melt the bullet `Q^(1)=ms Delta T+mL`
`Q_(1)=ms (475-25)+mL`
`therefore Q_(1)=Q`
`ms (475-25) mL =(mv^(2))/(2J)`
Hence, correct CHOICE is (b).


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