Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202524 JanuaryEvening Shift
Exam
JEE Main
Year
2025
Date
24 January
Shift
Evening Shift
Subject
Physics
Chapter
Oscillations

JEE Main 2025 · 24 January · Evening Shift · Physics · Oscillations

A particle oscillates along the x -axis according to the law,...

A particle oscillates along the xx-axis according to the law, x(t)=x0sin⁡2x(\mathrm{t})=x_0 \sin ^2\left(\frac{\mathrm{t}}{2}\right)wherewherex_0=1 \mathrm{~m}.Thekineticenergy. The kinetic energy(\mathrm{K})oftheparticleasafunctionofof the particle as a function ofx is correctly represented by the graphA particle oscillates along the x -axis according to the law, x(t)=x_0 ^2 ( t 2 ) where x_0=1 ~m . The kinetic energyA particle oscillates along the x -axis according to the law, x(t)=x_0 ^2 ( t 2 ) where x_0=1 ~m . The kinetic energyA particle oscillates along the x -axis according to the law, x(t)=x_0 ^2 ( t 2 ) where x_0=1 ~m . The kinetic energyA particle oscillates along the x -axis according to the law, x(t)=x_0 ^2 ( t 2 ) where x_0=1 ~m . The kinetic energyA particle oscillates along the x -axis according to the law, x(t)=x_0 ^2 ( t 2 ) where x_0=1 ~m . The kinetic energyA particle oscillates along the x -axis according to the law, x(t)=x_0 ^2 ( t 2 ) where x_0=1 ~m . The kinetic energy

Options

  1. ADirections: For each of the following sentences four alternatives are given. You are required to choose the correct
  2. BDirections: For each of the following sentences four alternatives are given. You are required to choose the correct
  3. CDirections: For each of the following sentences four alternatives are given. You are required to choose the correct
  4. DDirections: For each of the following sentences four alternatives are given. You are required to choose the correct

Correct answer

D. Directions: For each of the following sentences four alternatives are given. You are required to choose the correct

Step-by-step solution

x(t)=x0sin⁡2(t2)=x02(1−cos⁡t)x(t)=x_0 \sin ^2\left(\frac{t}{2}\right)=\frac{x_0}{2}(1-\cos t) A particle oscillates along the x -axis according to the law, x(t)=x_0 ^2 ( t 2 ) where x_0=1 ~m . The kinetic energy
Clearly x02\frac{x_0}{2} is mean position.A particle oscillates along the x -axis according to the law, x(t)=x_0 ^2 ( t 2 ) where x_0=1 ~m . The kinetic energy
Practice Oscillations on Quantrex Academy →

More from Oscillations

A tank contains two immiscible liquids of densities 6ρ and 2ρ . The higher density liquid… JEE Advanced 2026The frequency of oscillation of a mass m suspended by a spring is v_1 . If the length of… JEE Main 2026A spring stretches by 2 mm when it is loaded with a mass of 200 g. From equilibrium… JEE Main 2026A particle is executing simple harmonic motion. Its amplitude is A and time period is 5… JEE Main 2026Match List-I with List-II. List-I List-II A. ^2 ω t I. Periodic with time period T =… JEE Main 2026A uniform disc of radius R and mass M is free to oscillate about the axis A as shown in… JEE Main 2026The velocity of a particle executing simple harmonic motion along x -axis is described as… JEE Main 2026The equation of motion of a particle is given by x = a (50t + (π)/(3)) cm. The particle… JEE Main 2026 Full Oscillations list All JEE Main PYQs