A) \[20\text{ }m\text{ }{{s}^{-2}}\]
B) \[30\text{ }m\text{ }{{s}^{-2}}\]
C) \[40\text{ }m\text{ }{{s}^{-2}}\]
D) \[60\text{ }m\text{ }{{s}^{-2}}\]
Correct Answer: B
Solution :
Let m be the mass of the object. Ejected mass of the rocket \[=\frac{m}{40}\] According to the law of conservation of momentum, \[m{{u}_{1}}=\frac{m}{40}{{u}_{2}};at=\frac{{{u}_{2}}}{40};a=\frac{1200}{40\times 1}=30m{{s}^{-2}}\] \[(\because {{u}_{2}}=1200m\,\,{{s}^{-1}}\,\,and\,\,t=1\,\,\text{second)}\]
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