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4.1 , newtons laws of motion — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics4.1 , newtons laws of motion1 Mark
MCQ
A light string passing over a smooth light pulley connects two blocks of masses ${m_1}$ and ${m_2}$ (vertically). If the acceleration of the system is $\left( {\frac{g}{8}} \right)$ then the ratio of the masses is
  • A
    $8:1$
  • ✓
    $9:7$
  • C
    $4:3$
  • D
    $5:3$
✓

Answer

Correct option: B.
$9:7$
b
$a = \left( {\frac{{{m_1} - {m_2}}}{{{m_1} + {m_2}}}} \right)\,g$ 

$⇒$ $\frac{g}{8} = \left( {\frac{{{m_1} - {m_2}}}{{{m_1} + {m_2}}}} \right)\,g$

$⇒$  $\frac{{{m_1}}}{{{m_2}}} = \frac{9}{7}$

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