Verified Solution • 2025–26 Session moderate

QJEEM25Ph0f33: JEE Main 2025 Physics - Class 11 JEEM25Ph0f33 Solution: A solid sphere is rolling without slipping on a horizontal…

A solid sphere is rolling without slipping on a horizontal plane. The ratio of the linear kinetic energy of the centre of mass of the sphere and rotational kinetic energy is :

Multiple Choice Options

  • A 34\frac{3}{4}
  • B 43\frac{4}{3}
  • C 52\frac{5}{2}
  • D 25\frac{2}{5}

Step-by-Step Verified Solution

amp; Linear KE  Rotational K.E =12mvcm212Iω2amp;mvcm225mR2ω2=52( V=ωR)\begin{aligned}& \frac{\text { Linear KE }}{\text { Rotational K.E }}=\frac{\frac{1}{2} \mathrm{mv}_{\mathrm{cm}}^2}{\frac{1}{2} \mathrm{I} \omega^2} \\& \frac{\mathrm{mv}_{\mathrm{cm}}^2}{\frac{2}{5} \mathrm{mR}^2 \omega^2}=\frac{5}{2} \quad(\mathrm{~V}=\omega \mathrm{R})\end{aligned}

Related Learning Resources & Exam Preparation