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JEE Mains · Physics · STD 11 - 4.1 newtons laws of motion

All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration of the block of mass \(2 \mathrm{~kg}\) is : _______.

  1. A \(g\)
  2. B \(\frac{g}{3}\)
  3. C \(\frac{g}{2}\)
  4. D \(\frac{g}{4}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{g}{3}\)

Step-by-step Solution

Detailed explanation

\( 40-2 \mathrm{~T}=4 \mathrm{a} \) \( \mathrm{T}-10=4 \mathrm{a} \Rightarrow 20=12 \mathrm{a} \) \( \Rightarrow \mathrm{a}=5 / 3 \Rightarrow 2 \mathrm{a}=\frac{g}{3}\)
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