MHT CET · Physics · Oscillations
\(U\) is the PE of an oscillating particle and \(F\) is the force acting on it at a given instant. Which of the following is true ?
- A \(\frac{U}{F}+x=0\)
- B \(\frac{2 U}{F}+x=0\)
- C \(\frac{F}{U}+x=0\)
- D \(\frac{F}{2 U}+x=0\)
Answer & Solution
Correct Answer
(B) \(\frac{2 U}{F}+x=0\)
Step-by-step Solution
Detailed explanation
The potential energy, \(U=\frac{1}{2} k x^{2}\)
\(
2 U=k x^{2}
\)
or
\(
\begin{array}{l}
2 U=-F x \quad[\because F=-k x] \\
\frac{2 U}{F}=-x
\end{array}
\)
or
\(
\frac{2 U}{F}+x=0
\)
\(
2 U=k x^{2}
\)
or
\(
\begin{array}{l}
2 U=-F x \quad[\because F=-k x] \\
\frac{2 U}{F}=-x
\end{array}
\)
or
\(
\frac{2 U}{F}+x=0
\)
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
- When a mass ' \(\mathrm{m}\) ' is suspended from a spring of length ' \(\ell^{\prime}\), the length of the spring
becomes ' \(\mathrm{L}^{\prime}\). The mass is pulled down by a distance ' \(\mathrm{d}\) ' and released. If the equation of motion of the mass is \(\frac{d^{2} x}{d t^{2}}+\mathrm{P}^{2} x=0\), then \(\mathrm{P}\) is equal to
\((\mathrm{g}=\) acceleration due to gravity \()\)MHT CET 2020 Hard - A black body at a temperature of \(227^{\circ} \mathrm{C}\) radiates heat energy at the rate \(5 \mathrm{cal} / \mathrm{cm}^{2}-\mathrm{s} .\) At a temperature of \(727^{\circ} \mathrm{C}\), the rate of heat radiated per unit area in \(\mathrm{cal} / \mathrm{cm}^{2}\) will beMHT CET 2011 Hard
- The unknown resistances are connected in two gaps of a metre bridge. The null point is at \(20 \mathrm{~cm}\) from zero end. A resistance of \(15 \Omega\) is connected in series with the smaller of the two. The null point shifts to \(40 \mathrm{~cm}\). The smaller resistance isMHT CET 2020 Medium
- A string fixed at both the ends forms standing wave with node separation of \(5 \mathrm{~cm}\). If the velocity of the wave on the string is \(2 \mathrm{~m} / \mathrm{s}\), then the frequency of vibration of the string isMHT CET 2023 Medium
- Two galvanometers ' \(\mathrm{G}_{1}\) ' and ' \(\mathrm{G}_{2}\) ' require \(2 \mathrm{~mA}\) and \(3 \mathrm{~mA}\) respectively to produce the same deflection. ThenMHT CET 2020 Easy
- Same current is flowing in two alternating circuits. The first circuit contains only inductance and the other contains only a capacitor. If the frequency of the emf of \(\mathrm{AC}\) is increased, the effecton the value of the current will beMHT CET 2009 Medium
More PYQs from MHT CET
- The tiger census in our national parks is often based on _________.MHT CET 2023 Easy
- A string is vibrating in its fifth overtone between two rigid supports 2.4 apart. The distance between successive node and antinode isMHT CET 2018 Easy
- Which from following compounds is an example of primary amines?MHT CET 2025 Easy
- Moment of inertia of a solid sphere about its diameter is 'I'. It is then casted into 27 small spheres of same diameter. The moment of inertia of each small sphere about its diameter isMHT CET 2025 Medium
- In a triangle \(\mathrm{ABC}\), with usual notations \(\angle A=60^{\circ}\), then \(\left(1+\frac{a}{c}+\frac{b}{c}\right)\left(1+\frac{c}{b}-\frac{a}{b}\right)=\)MHT CET 2022 Medium
- What is the value of effective magnetic moment found in \(+3\) oxidation state of Chromium \((\mathrm{Z}=24) ?\)MHT CET 2020 Medium