CMC Medical
CMC-Medical Ludhiana Solved Paper-2015
question_answer
Three vectors of equal magnitudes (let P) are lying in a plane such that respective angle between one another is 45°, then the magnitude of these resultants would be
A) \[\sqrt{3\,(P+1)}\]
B) \[\sqrt{2{{P}^{2}}+3}\]
C) zero
D) \[P(\sqrt{2}+1)\]
Correct Answer:
D
Solution :
Let the vectors are OA , OB and OC shown below. Given that, OA = OB = OC = P Clearly, the resultant ofOA and OC willbe in the direction of OB. The magnitude of OA + OC \[=2P\cos 45{}^\circ =P\sqrt{2}\] Now, magnitude of resultant vector along OB is \[P+P\sqrt{2}=P(\sqrt{2}+1)\]