TS EAMCET · Physics · Thermal Properties of Matter
The moment of inertia \(I\) of uniform rod about a perpendicular bisector increases to \(I+\Delta I\), if the temperature is increased slightly by \(\Delta T\). If the coefficient of linear expansion is \(\alpha\), then \(\frac{\Delta I}{I}\) is \[ \left(\text { Assume } \frac{\Delta T}{T} \ll 1\right) \]
- A \(\alpha \Delta T\)
- B \(2 \alpha \Delta T\)
- C \(3 \alpha \Delta T\)
- D \(4 \alpha \Delta T\)
Answer & Solution
Correct Answer
(B) \(2 \alpha \Delta T\)
Step-by-step Solution
Detailed explanation
Let initial moment of inertia of rod about perpendicular bisector, \(I=\frac{1}{12} M L^2\) where, \(M=\) mass of rod and \(\quad L=\) initial length of rod. After increasing temperature by \(\Delta T\). Now, moment of inertia,…
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
- Statement (S) : Using Huygen's eye-piece measurements can be taken but are not correct. Reason (R) : The cross wires, scale and final image are not magnified proportionately because the image of the object is magnified by two lenses, whereas the cross wire scale is magnified by one lens only. Identify the correct one of the followingTS EAMCET 2008 Easy
- The acceleration of a particle is increasing linearly with time \(t\) as \(6 t\). The particle starts from the origin with an initial velocity \(10 \mathrm{~m} / \mathrm{s}\). The distance travelled by the particle after \(2 \mathrm{~s}\) will beTS EAMCET 2021 Easy
- The radiation energy emitted per second by a point source is \(100 \mathrm{~W}\). If the efficiency of the source is \(4 \%\), then the rms value of the electric field at distance of \(2 \mathrm{~m}\) is [use \(\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9\) in SI unit]TS EAMCET 2020 Medium
- The magnetic susceptibility of the material of a rod is 499. Permeability of vaccum is \(4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}\). Absolute permeability of the material of the rod in \(\mathrm{H} / \mathrm{m}\) is:TS EAMCET 2003 Medium
- A body of mass \(0.3 \mathrm{~kg}\) hangs by a spring with a force constant of \(50 \mathrm{~N} / \mathrm{m}\). The amplitude of oscillations is damped and reaches \(\frac{1}{e}\) of its original value in about 100 oscillations. If \(\omega\) and \(\omega^{\prime}\) are the angular frequencies of undamped and damped oscillations respectively, then percentage of \(\left(\frac{\omega-\omega}{\omega}\right)\) isTS EAMCET 2019 Hard
- If the displacement \((x)\) and velocity \((v)\) of a particle executing simple harmonic motion are related through the expression \(4 v^2=25-x^2\), then time period isTS EAMCET 2002 Medium
More PYQs from TS EAMCET
- A particle of mass collides with a particle of at rest. After the elastic collision, the two particles moves at an angle of with respect to each other. The ratio isTS EAMCET 2020 Hard
- Consider the following statements A and B and identify the correct answer : A. Fresnel's diffraction pattern occurs when the source of light or the screen on which the diffraction pattern is seen or when both are at finite distance from the aperture. B. Diffracted light can be used 'to estimate the helical structure of nucleic acids.TS EAMCET 2004 Medium
- Consider a thin metal strip of mass \(1 \mathrm{~kg}\) and length \(5 \mathrm{~m}\). Calculate its moment of inertia about an axis perpendicular to strip and located at \(100 \mathrm{~cm}\) on strip from one its end. (Assume the breadth as the strip is negligible)TS EAMCET 2020 Easy
- The moment of intertia of a solid cylinder of mass \(M\), length \(2 R\) and radius \(R\) about an axis passing through the centre of mass and perpendicular to the axis of the cylinder is \(I_1\) and about an axis passing through one end of the cylinder and perpendicular to the axis of the cylinder is \(I_2\), thenTS EAMCET 2015 Medium
- In a transistor circuit, the collector current is changed by , if the emitter current is changed to . The value of current amplification factor, isTS EAMCET 2019 Easy
- In compton scattering process, the incident \(X\)-radiation is scattered at an angle \(60^{\circ}\). The wavelength of the scattered radiation is \(0.22 Å\). The wavelength of the incident \(X\)-radiation in \(Å\) units isTS EAMCET 2002 Medium