A particle undergoes three successive displacements given by S _ 1 = 2 ~m north–east, S _ 2 =2 ~m due south and S _ 3 =4 ~m , 30° north of west, then magnitude of net displacement is :

A particle undergoes three successive displacements given by S _ 1 = 2 ~m north–east, S _…

Physics · JEE Main · NTA Exams — Physics and Measurement

A particle undergoes three successive displacements given by \(\overrightarrow{\mathrm{S}}_{1}=\sqrt{2} \mathrm{~m}\) north–east, \(\overrightarrow{\mathrm{S}}_{2}=2 \mathrm{~m}\)due south and \(\overrightarrow{\mathrm{S}}_{3}=4 \mathrm{~m},\) 30° north of west, then magnitude of net displacement is :

\(\sqrt{14+4 \sqrt{3}}\)
\(\sqrt{14-4 \sqrt{3}}\)
\(\sqrt{14}\)
none of these

Answer

(B) 14-4 3

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A particle undergoes three successive displacements given by S _ 1 = 2 ~m north–east, S _…

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