TS EAMCET · Physics · Gravitation
A small disc of mass and radius rolls down an inclined plane without slipping. Speed of its center of mass when it reaches the bottom of the incline plane depends on
- A mass & radius
- B mass & height of the incline
- C height of the incline
- D height of the incline and acceleration due to gravity
Answer & Solution
Correct Answer
(D) height of the incline and acceleration due to gravity
Step-by-step Solution
Detailed explanation
The loss in gravitational potential energy is equal to the gain in translational kinetic energy and rotational kinetic energy for the case of maximum velocity of sphere when it reaches ground. mgh=12Iω2+12mv2, here the relation, ω=vr and I=25mr2, it means,…
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
- A light rigid wire of length \(1 \mathrm{~m}\) is attached to a ball \(A\) of mass \(500 \mathrm{~g}\) to one end. The other end of the wire is fixed, so that the wire can rotate freely in the vertical plane about its fixed end. At the lowest point of the circular motion, the ball is given a horizontal velocity \(6 \mathrm{~m} / \mathrm{s}\). Determined the radial component of the acceleration of the ball, when this rigid wire makes an angle \(60^{\circ}\) with the upward vertical. (Take, \(g=10 \mathrm{~m} / \mathrm{s}^2\) )
TS EAMCET 2019 Medium - A capacitor \(50 \mu \mathrm{F}\) is connected to a power source \(V=220 \sin 50 t\) ( \(V\) in volt, \(t\) in second). The value of rms current (in ampere)TS EAMCET 2014 Medium
- When the temperature of a wire is increased from 303 K to 356 K , the resistance of the wire increases by \(10 \%\). The temperature coefficient of resistance of the material of the wire isTS EAMCET 2024 Easy
- In a junction transistor, the collector current changes by \(6.8 \mathrm{~mA}\), if the emitter current is changed by \(7 \mathrm{~mA}\). For such transistor, the current amplification factor isTS EAMCET 2018 Medium
- The displacement of a particle executing SHM is given by \(y=5 \sin \left(4 t+\frac{\pi}{3}\right) .\) If \(T\) is the time period and the mass of the particle is \(2 \mathrm{~g}\), the kinetic energy of the particle when \(t=\frac{T}{4}\) is given byTS EAMCET 2009 Medium
- In the hydrogen atom spectrum, let and are energies for the transition and respectively. The ratio isTS EAMCET 2020 Easy
More PYQs from TS EAMCET
- 5 moles of Hydrogen \(\left(\gamma=\frac{7}{5}\right)\) initially at S.T.P. are compressed adiabatically so that its temperature becomes \(400^{\circ} \mathrm{C}\). The increase in the internal energy of the gas in kilo-joules is \[ \left(R=8.30 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right) \]TS EAMCET 2002 Medium
- Two bodies are projected from the same point with the same initial velocity ' \(u\) ' making angles ' \(\theta\) ' and \(\left(90^{\circ}-\theta\right)\) with the horizontal in opposite directions. The horizontal distance between their positions when the bodies are at their maximum heights isTS EAMCET 2025 Medium
- A thermally insulated vessel containing monatomic gas is moving with a speed of \(30 \mathrm{~m} / \mathrm{s}\). If the vessel suddenly stops, the increase in gas temperature is (Molar mass of gas \(=83 \mathrm{~g} / \mathrm{mol}\) and \(R=8.3 \mathrm{~J} / \mathrm{K} \mathrm{mol}\) )TS EAMCET 2019 Easy
- Power radiated by a black body at temperature \(T_1\) is \(P\) and it radiates maximum energy at a wavelength \(\lambda_1\). If the temperature of the black body is changed from \(T_1\) to \(T_2\), it radiates maximum energy at a wavelength \(\frac{\lambda_1}{2}\). The power radiated at \(T_2\) isTS EAMCET 2012 Easy
- The magnetic field of an electromagneticwave obeys the relation in a certain region is \(B=10^{12} \sin \left(5 \times 10^6 t\right) \mathrm{T}\), where \(t\) is the time. Then, the induced emf, in a 300 tums in coil of area \(20 \mathrm{~cm}^2\) oriented perpendicular to the field isTS EAMCET 2019 Easy
- In a meter bridge two gaps in the metallic strip are connected by \(3 \Omega\) and \(9 \Omega\) resistors. What should be the value of shunt that needs to be added to \(9 \Omega\) resistor to shift balancing point by \(25 \mathrm{~cm}\) ?TS EAMCET 2020 Easy