A) \[\frac{({{I}_{1}}+{{I}_{2}})\omega }{{{I}_{1}}}\]
B) \[\frac{{{I}_{2}}\omega }{{{I}_{1}}+{{I}_{2}}}\]
C) \[\omega \]
D) \[\frac{{{I}_{1}}\omega }{{{I}_{1}}+{{I}_{2}}}\]
Correct Answer: D
Solution :
[d] Angular momentum will be conserved \[{{I}_{1}}\omega ={{I}_{1}}\omega '+{{I}_{2}}\omega '\Rightarrow \omega '=\frac{{{I}_{1}}\omega }{{{I}_{1}}+{{I}_{2}}}\]
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