AP EAMCET · PHYSICS · Work Power Energy
A uniform chain of mass \(m\) and length \(l\) is on a smooth horizontal table with \(\left(\frac{1}{n}\right)^{\text {th }}\) part of its length is hanging from one end of the table. The velocity of the chain, when it completely slips off the table is
- A \(\sqrt{g l\left(1-\frac{1}{n^2}\right)}\)
- B \(\sqrt{2 g l\left(1+\frac{1}{n^2}\right)}\)
- C \(\sqrt{2 g l\left(1-\frac{1}{n^2}\right)}\)
- D \(\sqrt{2 g l}\)
Answer & Solution
Correct Answer
(A) \(\sqrt{g l\left(1-\frac{1}{n^2}\right)}\)
Step-by-step Solution
Detailed explanation
Taking surface of table as zero level of potential energy, - Potential energy of chain with \(\frac{1}{n}\) th part hanging \( =\frac{-M g l}{2 n^2} \) - Potential energy of chain or it leaves table \(=\frac{-M g l}{2}\) Kinetic energy \(=\) Loss of potential energy…
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
- \(5 \mathrm{~g}\) of steam at \(100^{\circ} \mathrm{C}\) is mixed with \(5 \mathrm{~g}\) of ice at \(0^{\circ} \mathrm{C}\). What is the final temperature of the mixture?AP EAMCET 2021 Medium
- The velocity of a particle is given by \(v=2 t^2-8 t+15 \mathrm{~ms}^{-1}\). Find its instantaneous acceleration at \(t=5 \mathrm{~s}\).AP EAMCET 2021 Easy
- Two weights \(2 \mathrm{~N}\) and \(3 \mathrm{~N}\) are suspended from the ends of an inextensible string passing over a fixed frictionless pulley. If the pulley is pulled up with an acceleration equal to the acceleration due to gravity, then the tension in the string isAP EAMCET 2017 Easy
- Speed of a sound in airAP EAMCET 2021 Easy
- Electric field lines of force of a positive point charge areAP EAMCET 2020 Easy
- Initially the pressure of 1 mole of an ideal gas is \(10^5 \mathrm{Nm}^{-2}\) and its volume is 16 litre. When it is adiabatically compressed, its final volume is 2 litre. Work done on the gas is \(\left[\right.\) molar specific heat at constant volume \(\left.=\frac{3 R}{2}\right]\)AP EAMCET 2024 Medium
More PYQs from AP EAMCET
- Reduction of nitrobenzene with \(\mathrm{Zn}\) and alcoholic \(\mathrm{KOH}\) solution results in the formation of the following compoundAP EAMCET 2010 Hard
- The radius of the circle is _________ units.AP EAMCET 2020 Easy
- If \(x-y-3=0\) is a normal drawn through the point \((5,2)\) to the parabola \(y^2=4 x\), then the slope of the other normal that can be drawn through the same point to the parabola \(y^2=4 x\) isAP EAMCET 2025 Medium
- If \(m\) and \(M\) respectively denote the minimum and maximum of \(f(x)=(x-1)^2+3\) for \(x \in[-3,1]\), then the ordered pair \((m, M)\) is equal toAP EAMCET 2008 Easy
- The power utilised when a force of \((2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}) \mathrm{N}\) acts on a body for \(4 \mathrm{~s}\), producing a displacement of \((3 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}) \mathrm{m}\), isAP EAMCET 2020 Easy
- In the Young's double slit experiment, the intensities at two points \(P_1\) and \(P_2\) on the screen are respectively \(I_1\) and \(I_2\). If \(P_1\) is located at the centre of a bright fringe and \(P_2\) is located at a distance equal to a quarter of fringe width from \(P_1\), then \(\frac{I_1}{I_2}\) isAP EAMCET 2009 Easy