Questions

# A bullet of mass 5g , Travelling with a speed of  210 m/s , strikes a fixed wooden target . One half its kinetic energy is converted in to heat in the bullet while the other half is converted in to heat in the wood. The rise of temperature of the bullet if the specific heat of the material is 0.030 cal/$\left({\text{g-}}^{\text{0}}\text{C}\right)\left(1cal=4.2×{10}^{7}\text{ergs}\right)$ close to:

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a
87.50C
b
119.20C
c
83.30C
d
38.40C
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detailed solution

Correct option is A

One half of kinetic energy is used up in heating the bullet.​∴1212mv2 = msΔT ​⇒14 210002 =0.03×4.2×1071×ΔT​⇒ΔT=441×1064×0.03×4.2×107=87.50C

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What will be the temperature, when 150 g of ice at 0°C is mixed with 300 g of water at 50°C? Specific heat of water =1 ca lg-1°C. Latent heat of fusion of ice = 80 -1 ca lg-1.

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