A) \[\frac{{{a}^{2}}}{b}\]
B) \[\frac{{{a}^{2}}}{2b}\]
C) \[\frac{{{a}^{2}}}{4b}\]
D) \[\frac{{{a}^{2}}}{2b}\]
Correct Answer: B
Solution :
\[\omega =a-bt\] On comparing above equation with \[\omega = {{\omega }_{o}} -dt\] Initial angular velocity = a Angular retardation = b \[\therefore angle rotated before is stops is \frac{{{a}^{2}}}{2b}\] \[{{\omega }^{2}}_{\operatorname{f}}= {{\omega }^{2}}_{1}=-2\operatorname{b}\theta \] \[0-{{\operatorname{a}}^{2}}=-2\operatorname{b}\theta \] \[\theta =\frac{{{a}^{2}}}{2b}\]
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