AP EAMCET · PHYSICS · Work Power Energy
If the potential energy of a particle of mass 0.1 kg moving along x -axis is \(5 x(x-4) J\), then the speed of the particle is maximum at a position of
- A \(x=2 \mathrm{~m}\)
- B \(\mathrm{x}=3 \mathrm{~m}\)
- C \(\mathrm{x}=0.5 \mathrm{~m}\)
- D \(\mathrm{x}=5 \mathrm{~m}\)
Answer & Solution
Correct Answer
(A) \(x=2 \mathrm{~m}\)
Step-by-step Solution
Detailed explanation
Speed is maximum when potential energy is minimum. \(PE(x) = 5x^2 - 20x\) \(\frac{dPE}{dx} = 10x - 20\) \(10x - 20 = 0\) \(10x = 20\) \(x = 2 \mathrm{~m}\)
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
- The capacity of parallel plate condenser is \(5 \mu \mathrm{F}\). When a glass plate is placed between the plates of the condenser, its potential difference reduces to \(1 / 8\) of the original value. The magnitude of relative dielectric constant of glass isAP EAMCET 2020 Easy
- A wire is first bent in the form of a circular coil of 5 turns and the same wire is then bent in the form of another circular coil of 10 turns. If same current is passed in both the coils, then the ratio of the magnetic fields at their centres isAP EAMCET 2023 Easy
- Two bodies of masses \(4 \mathrm{~m}\) and \(9 \mathrm{~m}\) are separated by a distance ' \(r\) '. The gravitational potential at a point on this line joining them where the gravitational field becomes zero isAP EAMCET 2017 Hard
- Four positive point charges \(+q\) are kept at the four corners of a square of side \(l\). The net electric field at the mid-point of any one side of the square is
\[
\left(\text { Take, } \frac{1}{4 \pi \varepsilon_0}=k\right)
\]AP EAMCET 2018 Easy - The horizontal range of a projectile projected at an angle of \(45^{\circ}\) with the horizontal is 50 m . The height of the projectile when its horizontal displacement is 20 m isAP EAMCET 2024 Easy
- The ratio of the orders of the spacings of nuclear energy levels and atomic energy levels isAP EAMCET 2025 Easy
More PYQs from AP EAMCET
- The solution set of \({ }^5 C_{x-1}>2 \cdot\left({ }^5 C_x\right)\) isAP EAMCET 2021 Easy
- The order of reactivity of the following alkyl bromides towards \(\mathrm{S}_{\mathrm{N}}{ }^1\) reactions is
a) \(\left(\mathrm{CH}_3\right)_2 \mathrm{CHBr}\)
b) \(\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{Br}\)
c) \(\left(\mathrm{CH}_3\right)_3 \mathrm{C}-\mathrm{Br}\)AP EAMCET 2017 Easy - If \(f(x)\) is a polynomial function satisfying \(f(x) \cdot f\left(\frac{1}{x}\right)=f(x)+f\left(\frac{1}{x}\right)\) and \(f(4)=257\), then \(f(3)=\)AP EAMCET 2018 Medium
- The angle of elevation of an object from a point \(P\) on the level ground is \(\alpha\). Moving \(d\) metres on the ground towards the object, the angle of elevation is found to be \(\beta\). Then the height (in metres) of the object isAP EAMCET 2007 Medium
- \(1+\frac{1+2}{2 !}+\frac{1+2+2^2}{3 !}+\ldots\) is equal toAP EAMCET 2002 Medium
- Which orbital among the following has zero radial nodes and 2 angular nodes?AP EAMCET 2021 Easy