JEE Main 2026 · 5 Apr · Shift 1 · Physics Q29

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PhysicsSingle correct+4 / -1Question 29 of 75

Three masses $m_1=4$ kg, $m_2=4$ kg and $m_3=6$ kg are suspended from a fixed smooth frictionless pully as shown in the figure below. The value of $T_1/T_2$ is ________.
(take $g=10$ m/s²)

A pulley hung from the ceiling; a string over it carries m₁ on the left (tension T₁) and m₂ on the right (tension T₁); m₃ hangs below m₂ from a second string with tension T₂.

5/3

2/3

3/5

2/5

Answer and worked solution

Official answer: A

Acceleration. $m_1=4$ kg on one side, $m_2+m_3=10$ kg on the other:
$a=\frac{(10-4)g}{14}=\frac{30}7\text{ m/s}^2,$
with $m_1$ moving up.

Tensions.

$T_1=m_1(g+a)=4\cdot\dfrac{100}7=\dfrac{400}7$ N.
$T_2=m_3(g-a)=6\cdot\dfrac{40}7=\dfrac{240}7$ N.

Ratio: $T_1/T_2=5/3$ .

(A)

Topics:Constraint motion and pulleys Newton's laws

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JEE Main 2026 · 5 Apr · Shift 1, Physics question 29