JEE Main & Advanced Physics Two Dimensional Motion Question Bank Uniform Circular Motion

  • question_answer
    The second's hand of a watch has length 6 cm. Speed of end point and magnitude of difference of velocities at two perpendicular positions will be                         [RPET 1997]

    A)             6.28 and 0 mm/s        

    B)             8.88 and 4.44 mm/s

    C)             8.88 and 6.28 mm/s   

    D)             6.28 and 8.88 mm/s

    Correct Answer: D

    Solution :

                    \[v=r\omega =\frac{r\times 2\pi }{T}=\frac{0.06\times 2\pi }{60}=6.28\,mm/s\] Magnitude of change in velocity =\[|\overrightarrow{{{v}_{2}}}-\overrightarrow{{{v}_{1}}}|\] \[=\sqrt{v_{1}^{2}+v_{2}^{2}}=8.88\,mm/s\]   \[\left( \text{As }{{v}_{1}}={{v}_{2}}=6.28mm/s \right)\]


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