A) \[\sqrt{301}\,N\]
B) \[\sqrt{202+99\sqrt{2}}\,N\]
C) \[\sqrt{{{9}^{2}}+{{11}^{2}}}\,\,N\]
D) \[202\,N\]
Correct Answer: B
Solution :
Given, forces of magnitude \[9\,N\]and \[11\,N\] and angle between them is \[{{45}^{o}},\] Magnitude of resultant forces \[=\sqrt{{{9}^{2}}+{{11}^{2}}+2.9.11.\,\cos \,{{45}^{o}}}\] \[=\sqrt{81+121+198.\frac{1}{\sqrt{2}}}\] \[=\sqrt{202+99\sqrt{2}}N\]
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