TS EAMCET · Physics · Rotational Motion
Two solid spheres ( \(A\) and \(B\) ) are made of metals of different densities \(\rho_A\) and \(\rho_B\) respectively. If their masses are equal, the ratio of their moments of inertia \(\left(I_B / I_A\right)\) about their respective diameter is
- A \(\left(\frac{\rho_B}{\rho_A}\right)^{2 / 3}\)
- B \(\left(\frac{\rho_A}{\rho_B}\right)^{2 / 3}\)
- C \(\frac{\rho_A}{\rho_B}\)
- D \(\frac{\rho_B}{\rho_A}\)
Answer & Solution
Correct Answer
(A) \(\left(\frac{\rho_B}{\rho_A}\right)^{2 / 3}\)
Step-by-step Solution
Detailed explanation
As two solid spheres are equal in masses, so \(m_A=m_B\) \(\begin{aligned} \Rightarrow & \frac{4}{3} \pi R_A^3 \rho_A & =\frac{4}{3} \pi R_B^3 \rho_B \\ \Rightarrow & \frac{R_A}{R_B} & =\left(\frac{\rho_B}{\rho_A}\right)^{1 / 3}\end{aligned}\) The moment of inertia of sphere…
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
- 113. Energy released in the fission of a single uranium nucleus is \(200 \mathrm{MeV}\). Then the number of fissions per second to produce \(5 \mathrm{~mW}\) power isTS EAMCET 2023 Easy
- A series \(L C R\) circuit is connected across a source of alternating emf of changing frequency and resonates at frequency \(f_0\). Keeping capacitance constant, if the inductance \((L)\) is increased by \(\sqrt{3}\) times and resistance is increased \((R)\) by 1.4 times, the resonant frequency now isTS EAMCET 2013 Easy
- The flux of the electric field \(\overrightarrow{\mathrm{E}}=24 \hat{\mathrm{i}}+30 \hat{\mathrm{j}}+28 \hat{\mathrm{k}} \mathrm{NC}^{-1}\) through an area of \(20 \mathrm{~m}^2\) on the yz plane isTS EAMCET 2023 Medium
- The heat required to convert 8 g of ice at a temperature of \(-20^{\circ} \mathrm{C}\) to steam at \(100^{\circ} \mathrm{C}\) is [Specific heat capacity of ice \(=2100 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}\), specific heat capacity of water \(=4200 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}\), latent heat of fusion of ice \(=336 \times 10^3 \mathrm{~J} \mathrm{~kg}^{-1}\) and latent heat of steam \(\left.=2.268 \times 10^6 \mathrm{Jkg}^{-1}\right]\)TS EAMCET 2025 Medium
- A \(500 \Omega\) resistor connected to an external battery is placed inside a thermally insulated cylinder fitted with a frictionless piston. The cylinder contains an ideal gas. A current \(i\) of \(200 \mathrm{~mA}\) flows through the resistor as shown in the figure. The mass of the piston is \(10 \mathrm{~kg}\). Assuming \(g=10 \mathrm{~m} / \mathrm{s}^2\), the speed at which the piston will move upward, due to heat dissipated by the resistor, so that the temperature of the gas remains unchanged is
TS EAMCET 2018 Medium - As the mass number increases, which of the following quantities related to a nucleus does not change?TS EAMCET 2022 Easy
More PYQs from TS EAMCET
- Consider a wheel rotating around a fixed axis. If the rotation angle \(\theta\) varies with time as \(\theta=a t^2\), then the total acceleration of a point \(A\) on the rim of the wheel is \((v\) being the tangential velocity)TS EAMCET 2018 Medium
- At very high frequencies, the current (i) in the given circuit is
TS EAMCET 2023 Hard - The total internal energy of 4 moles of a diatomic gas at a temperature of \(27^{\circ} \mathrm{C}\) is (Universal gas constant \(=8.31 \mathrm{~J}\) \(\mathrm{mol}^{-1} \mathrm{~K}^{-1}\) )TS EAMCET 2024 Easy
- A ball projected up passes the same height \(\mathrm{H}\) at \(2 \mathrm{~s}\) and \(10 \mathrm{~s}\). The value of \(\mathrm{H}\) is [Use \(\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^2\) ]TS EAMCET 2022 Easy
- In a hypothetical Bohr hydrogen atom, if the mass of the electron is doubled then the energy of the electron in the first orbit isTS EAMCET 2023 Hard
- In the given circuit, the equivalent resistance between \(\mathrm{A}\) and \(B\) is
TS EAMCET 2023 Medium