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JEE Main 202324 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
24 January
Shift
Morning Shift
Subject
Physics
Chapter
Laws of Motion

JEE Main 2023 · 24 January · Morning Shift · Physics · Laws of Motion

As per given figure, a weightless pulley P is attached on a double...

As per given figure, a weightless pulley PP is attached on a double inclined frictionless surface. The tension in the string (massless) will be (if g=10ms−2g = 10m{s}^{- 2})

As per given figure, a weightless pulley P is attached on a double inclined frictionless surface. The tension in the

Options

  1. A(43+1)N\left(4\sqrt{3} + 1\right)N
  2. B4(3+1)N4\left(\sqrt{3} + 1\right)N
  3. C4(3−1)N4\left(\sqrt{3} - 1\right)N
  4. D(43−1)N\left(4\sqrt{3} - 1\right)N

Correct answer

B. 4(3+1)N4\left(\sqrt{3} + 1\right)N

Step-by-step solution

As per given figure, a weightless pulley P is attached on a double inclined frictionless surface. The tension in the

The magnitude of acceleration of both the blocks will be same and is given by

a=4gsin60∘−gsin30∘4+1a = \dfrac{4gsin{60}^{∘} - gsin{30}^{∘}}{4 + 1}

=203−55= \dfrac{20\sqrt{3} - 5}{5}

a=a =\left(4\sqrt{3} - 1\right)ms−1m{s}^{- 1}

Applying Newton's second law for second block (along the direction parallel to the incline on which it is placed)

T−5=1×aT - 5 = 1 \times a

⇒T=5+43−1⇒ T = 5 + 4\sqrt{3} - 1

=4(3+1)N= 4\left(\sqrt{3} + 1\right)N

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