Physics · Simple Harmonic Motion

JEE Main 2026 — 4 April, Morning Shift — Question 21

The velocity of a particle executing SHM along x‑axis is v² = 50 – x², where x is displacement. If the time period of motion is x7\frac{x}{7} s, the value of x is ______.

Answer: 44

Numerical answer — enter this value.

Step-by-step solution

Compare with v² = ω²(A²-x²) ⇒ ω=1 rad/s, A=√50. T = 2π/ω = 2π ≈ 6.283. Given T = x/7 ⇒ x = 7T = 44 (approx)

Answer key and solution verified before publishing.

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Exam
JEE Main 2026
Subject
Physics
Chapter
Simple Harmonic Motion
Topic
Kinematics of SHM, Phase and Energy in SHM
The velocity of a particle executing SHM along x‑axis is v² = 50… | JEE Main 2026 PYQ with Solution · DhiX AI