A) \[\sqrt{\frac{v_{1}^{2}{{x}_{2}}-v_{2}^{2}{{x}_{1}}}{v_{1}^{2}+v_{2}^{2}}}\]
B) \[\sqrt{\frac{v_{1}^{2}x_{1}^{2}-v_{2}^{2}x_{2}^{2}}{v_{1}^{2}+v_{2}^{2}}}\]
C) \[\sqrt{\frac{v_{1}^{2}x_{2}^{2}-v_{2}^{2}x_{1}^{2}}{v_{1}^{2}-v_{2}^{2}}}\]
D) \[\sqrt{\frac{v_{1}^{2}x_{2}^{2}+v_{2}^{2}x_{1}^{2}}{v_{1}^{2}+v_{2}^{2}}}\]
Correct Answer: C
Solution :
[c] \[{{v}_{1}}=\omega \sqrt{{{a}^{2}}-x_{1}^{2}},\,\,{{v}_{2}}=\omega \sqrt{{{a}^{2}}-x_{2}^{2}}\] We get, \[a=\sqrt{\frac{v_{1}^{2}x_{2}^{2}-v_{2}^{2}x_{1}^{2}}{v_{1}^{2}-v_{2}^{2}}}\]You need to login to perform this action.
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