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JEE Main 20246 AprilMorning Shift
Exam
JEE Main
Year
2024
Date
6 April
Shift
Morning Shift
Subject
Physics
Chapter
Laws of Motion

JEE Main 2024 · 6 April · Morning Shift · Physics · Laws of Motion

A light string passing over a smooth light pulley connects two...

A light string passing over a smooth light pulley connects two blocks of masses m1m_1 and m2m_2 (where m2>m1m_2>m_1 ). If the acceleration of the system is g2\frac{g}{\sqrt{2}}, then the ratio of the masses m1m2\frac{m_1}{m_2} is:A light string passing over a smooth light pulley connects two blocks of masses m_1 and m_2 (where m_2>m_1 ). If the

Options

  1. A1+55−1\frac{1+\sqrt{5}}{\sqrt{5}-1}
  2. B2−12+1\frac{\sqrt{2}-1}{\sqrt{2}+1}
  3. C1+52−1\frac{1+\sqrt{5}}{\sqrt{2}-1}
  4. D3+12−1\frac{\sqrt{3}+1}{\sqrt{2}-1}

Correct answer

B. 2−12+1\frac{\sqrt{2}-1}{\sqrt{2}+1}

Step-by-step solution

A light string passing over a smooth light pulley connects two blocks of masses m_1 and m_2 (where m_2>m_1 ). If the
a=(M2−M1M1+M2)gg2=(M2−M1M1+M2)g(M1+M2)=2M2−2M1M1M2=(2−12+1)\begin{aligned} & a=\left(\frac{M_2-M_1}{M_1+M_2}\right) g \\ & \frac{g}{\sqrt{2}}=\left(\frac{M_2-M_1}{M_1+M_2}\right) g \\ & \left(M_1+M_2\right)=\sqrt{2} M_2-\sqrt{2} M_1 \\ & \frac{M_1}{M_2}=\left(\frac{\sqrt{2}-1}{\sqrt{2}+1}\right)\end{aligned}
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