A) Statement - I is true, Statement - II is true, statement - II is a correct explanation of Statement - I
B) Statement - I is true, Statement - II is true, statement - II is not a correct explanation of Statement - I
C) Statement - I is true, Statement - II is false
D) Statement - I is false, Statement - II is true
Correct Answer: D
Solution :
Maximum energy loss when inelastic collision takes place \[mv=(m+M)v\prime \] \[v\prime =\frac{m}{m+M}v\] \[{{k}_{i}}=\frac{1}{2}m{{v}^{2}}\] \[{{k}_{f}}=\frac{1}{2}(m+M)v{{'}^{2}}=\frac{1}{2}(m+M)\frac{{{m}^{2}}{{v}^{2}}}{{{(m+M)}^{2}}}\] \[=\frac{1}{2}m{{v}^{2}}\left( \frac{m}{M+m} \right)\] Loss of energy\[={{k}_{i}}-{{k}_{f}}=\frac{1}{2}m{{v}^{2}}\left[ 1-\frac{m}{M+m} \right]\] \[=\frac{M}{M+m}\times \frac{1}{2}m{{v}^{2}}\]You need to login to perform this action.
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