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QJEEM23Phd264: JEE Main 2023 Physics - Class 11 JEEM23Phd264 Solution: A vector in plane makes an angle of with -axis. The magnitude…

A vector in x−yx-y plane makes an angle of 30∘30^{\circ} with yy -axis. The magnitude of y\mathrm{y} -component of vector is 232 \sqrt{3} . The magnitude of xx -component of the vector will be :

Multiple Choice Options

  • A 3\sqrt{3}
  • B 2
  • C 6
  • D 13\frac{1}{\sqrt{3}}

Step-by-Step Verified Solution

JEE Main 2023 (Online) 15th April Morning Shift Physics - Vector Algebra Question 11 English Explanation
amp;Ay=Acos⁡30∘=23amp;⇒A32=23amp;⇒A=4\begin{aligned}& \mathrm{A}_{\mathrm{y}}=\mathrm{A} \cos 30^{\circ}=2 \sqrt{3} \\\\& \Rightarrow \mathrm{A} \frac{\sqrt{3}}{2}=2 \sqrt{3} \\\\& \Rightarrow \mathrm{A}=4\end{aligned}

Now Ax=Asin⁡30∘=4×12=2A_x=A \sin 30^{\circ}=4 \times \frac{1}{2}=2

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