A) \[\sqrt{3}:\sqrt{2}\]
B) \[1:\sqrt{2}\]
C) \[1:\sqrt{3}\]
D) \[1:2\]
Correct Answer: A
Solution :
The horizontal components are \[{{({{B}_{H}})}_{1}}=B\cos {{\varphi }_{1}}\]and \[{{({{B}_{H}})}_{2}}=B\cos {{\varphi }_{2}}\] \[\therefore \,\frac{{{({{B}_{H}})}_{1}}}{{{({{B}_{^{H}}})}_{2}}}=\frac{\cos {{\varphi }_{1}}}{\cos {{\varphi }_{2}}}=\frac{\cos {{30}^{o}}}{\cos {{45}^{o}}}=\frac{\sqrt{3}}{2}\times \sqrt{2}=\frac{\sqrt{3}}{\sqrt{2}}\]
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