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JEE Main 202430 JanuaryMorning Shift
Exam
JEE Main
Year
2024
Date
30 January
Shift
Morning Shift
Subject
Physics
Chapter
Laws of Motion

JEE Main 2024 · 30 January · Morning Shift · Physics · Laws of Motion

All surfaces shown in figure are assumed to be frictionless and the...

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 2kg2kg is:

All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration

Options

  1. Agg
  2. Bg3\dfrac{g}{3}
  3. Cg2\dfrac{g}{2}
  4. Dg4\dfrac{g}{4}

Correct answer

B. g3\dfrac{g}{3}

Step-by-step solution

All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration

For 4kg4kg block:

40−2T=4a⇒T=20−2a40 - 2T = 4a ⇒ T = 20 - 2a

For 2kg2kg block:

T−10=4a⇒20−2a−10=4a⇒10=6a⇒a=106=g6ms−2T - 10 = 4a ⇒ 20 - 2a - 10 = 4a ⇒ 10 = 6a ⇒ a = \dfrac{10}{6} = \dfrac{g}{6}m{s}^{- 2}

Acceleration of the block of mass 2kg2kg, 2a=g3ms−22a = \dfrac{g}{3}m{s}^{- 2}.

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