MHT CET · Physics · Rotational Motion
A solid sphere of mass ' m ' and radius ' R ' is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with angular speed twice that of sphere. The ratio of kinetic energy of sphere to kinetic energy of cylinder will be
- A 2:3
- B \(1: 5\)
- C \(3: 1\)
- D \(1: 4\)
Answer & Solution
Correct Answer
(B) \(1: 5\)
Step-by-step Solution
Detailed explanation
\(I_s = \frac{2}{5}mR^2\) \(K_s = \frac{1}{2}I_s\omega^2 = \frac{1}{2}\left(\frac{2}{5}mR^2\right)\omega^2 = \frac{1}{5}mR^2\omega^2\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- In Young's double slit experiment, for the \(n\)th dark fringe ( \(n=1,2,3 \ldots\) ) the phase difference of the interfering waves in radian will beMHT CET 2025 Easy
- What should be the radius of water drop so that excess pressure inside it is \(72 \mathrm{Nm}^{-2}\) ? (The surface tension of water \(7.2 \times 10^{-2} \mathrm{Nm}^{-1}\) )MHT CET 2021 Easy
- The magnetic flux near the axis and inside the air core solenoid of length \(60 \mathrm{~cm}\) carrying current ' \(I\) ' is \(1.57 \times 10^{-6} \mathrm{~Wb}\). Its magnetic moment will be \(\left[\mu_0=4 \pi \times 10^{-7}\right.\), SI unit and cross sectional area is very small as compared to length of solenoid.]MHT CET 2021 Medium
- Light of two different frequencies whose photons have energies \(1.3 \mathrm{eV}\) and \(2.8 \mathrm{eV}\) respectively, successfully illuminate a metallic surface whose work function is \(0.8 \mathrm{eV}\). The ratio of maximum speeds of emitted electrons will beMHT CET 2022 Easy
- If the potential difference across a capacitor is increased from \(5 \mathrm{~V}\) to \(15 \mathrm{~V}\), then the ratio of final energy to initial energy stored in the capacitor isMHT CET 2021 Easy
- Two coils A and B have mutual inductance 0.008 \(\mathrm{H}\). The current changes in the coil \(\mathrm{A}\), according to the equation \(\mathrm{I}=\mathrm{I}_{\mathrm{m}} \sin \omega \mathrm{t}\), where \(I_m=5 A\) and \(\omega=200 \pi \mathrm{rad} \mathrm{s}^{-1}\). The maximum value of the e.m.f. induced in the coil B in volt isMHT CET 2023 Medium
More PYQs from MHT CET
- A mass connected to a horizontal spring performs S.H.M. with amplitude . While mass is passing through mean position another mass is placed on it so that both the masses move together with amplitude . The ratio of isMHT CET 2016 Medium
- The Boolean expression for 'XOR' gate \(C=(A \oplus B)\) is equal toMHT CET 2024 Easy
- Given below are two statements.
Statement-I: Cytochrome c is small, copper containing protein loosely attached to inner membrane.
Statement-II: Cytochrome c acts as a mobile electro carrier transferring electrons between complex I, II and IV.
In the light of above statements, choose the correct answer from the options given below.MHT CET 2022 Hard - Which of the following compounds does not undergo Williamson's synthesis?MHT CET 2024 Medium
- Which hormone also plays role in closing of stomata?MHT CET 2021 Hard
- Calculate the wave number of photon emitted during transition from the orbit \(\mathrm{n}=2\) to \(\mathrm{n}=1\) in hydrogen atom \(\left(\mathrm{R}_{\mathrm{H}}=109677 \mathrm{~cm}^{-1}\right)\)MHT CET 2022 Medium