A) \[2\,\,kg\,\,of\,ice\]
B) \[200\,\,g\,\,of\,ice\]
C) \[20\,\,g\,\,\,ice\]
D) \[2\,\,g\,\,\,ice\]
Correct Answer: B
Solution :
Key Idea: Law of conservation of energy is valid. Potential energy is the energy possessed by a body due to its height. It is given by \[PE=mgh\] Where \[m\] is mass, \[g\] is acceleration due to Gravity and \[h\] is height. This potential energy is utilized in giving latent heat \[\left( m'\,L \right)\] to ice. \[\therefore \] \[m'L=mgh\] Given, \[m=3.5\text{ }kg,\] \[g=10\text{ }m\text{/}{{s}^{2}},\] \[h=2000\text{ }m,\] \[L=3.5\times {{10}^{5}}J\text{/}s.\] \[\therefore \] \[m'=\frac{mgh}{L}\] \[\Rightarrow \] \[m'=\frac{3.5\times 10\times 2000}{3.5\times {{10}^{5}}}\] \[\Rightarrow \] \[m'=0.2\,kg\,\]of ice Also, \[1\text{ }kg={{10}^{3}}g\] \[\therefore \]\[m'=200\,g\] of ice.You need to login to perform this action.
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