A) \[\frac{\pi }{2\omega }\]
B) \[\frac{3\pi }{2\omega }\]
C) \[\frac{\pi }{\omega }\]
D) they will never meet
Correct Answer: D
Solution :
[d] Case 1: When they rotate in same sense \[2m\pi =2\omega t\] \[\frac{3\pi }{2}+2n\pi =\omega t;2m\pi =2\left( \frac{3\pi }{2}+2n\pi \right)\] \[2m=3+4n\,\,;\,\,\,\,m=\frac{3}{2}+2n\Rightarrow m-2n=\frac{3}{2}\] Not possible for m and n being integer. Case 2: When they rotate in opposite sense \[\frac{\pi }{2}+2n\pi =\omega t\,;\,2m\pi =2\left( \frac{\pi }{2}+2n\pi \right)\] \[2m\pi =\pi +4n\pi \,;2m-4n=1\] Not possible for m and n integer.
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