JEE Mains · Physics · STD 11 - 5. work,energy,power and collision
Given below are two statements: one is labelled as Assertion \(\mathbf{A}\) and the other is labelled as Reason \(\mathbf{R}\)
Assertion A: In a central force field, the work done is independent of the path chosen.
Reason R: Every force encountered in mechanics does not have an associated potential energy.
In the light of the above statements, choose the most appropriate answer from the options given below
- A \(\mathbf{A}\) is false but \(\mathbf{R}\) is true
- B Both \(\mathbf{A}\) and \(\mathbf{R}\) are true but \(\mathbf{R}\) is NOT the correct explanation of \(\mathbf{A}\)
- C \(\mathbf{A}\) is true but \(\mathbf{R}\) is false
- D Both \(\mathbf{A}\) and \(\mathbf{R}\) are true and \(\mathbf{R}\) is the correct explanation of \(\mathbf{A}\)
Answer & Solution
Correct Answer
(B) Both \(\mathbf{A}\) and \(\mathbf{R}\) are true but \(\mathbf{R}\) is NOT the correct explanation of \(\mathbf{A}\)
Step-by-step Solution
Detailed explanation
Assertion is correct as central forces are conservative in nature, i.e. work done is independent of path. Reason is true as some forces in mechanics like, friction are non-conservative because work done depends on path and only conservative forces have an associated potential…
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 gas can be taken from \(A\) to \(B\) via two different processes \(ACB\) and \(ADB\). When path \(ACB\) is used \(60\, J\) of heat flows into the system and \(30\, J\) of work is done by the system. If path \(ADB\) is used work down by the system is \(10\, J\). the heat flow into the system in path \(ADB\) is ..... \(J\)
JEE Mains 2019 Medium - The radius of electron's second stationary orbit in Bohr's atom is \(R\). The radius of the third orbit will beJEE Mains 2023 Medium
- Arrange the following in the ascending order of wavelength \((\lambda)\) :
(A) Microwaves \(\left(\lambda_1\right)\)
(B) Ultraviolet rays \(\left(\lambda_2\right)\)
(C) Infrared rays \(\left(\lambda_3\right)\)
(D) X-rays \(\left(\lambda_4\right)\)
Choose the most appropriate answer from the options given below :JEE Mains 2025 Medium - Assume that an electric field \(\vec E = 30{x^2}\hat i\) exists in space. Then the potential difference \(V_A-V_O\) where \(V_O\) is the potential at the origin and \(V_A\) the potential at \(x = 2\ m\) is....\(V\)JEE Mains 2014 Medium
- If the distance between object and its two times magnified virtual image produced by a curved mirror is \(15 \mathrm{~cm}\), the focal length of the mirror must be _______.JEE Mains 2024 Hard
- The de-Broglie wavelength of an electron is the same as that of a photon. If velocity of electron is \(25 \%\) of the velocity of light, then the ratio of \(K.E.\) of electron and \(K.E.\) of photon will be:JEE Mains 2024 Hard
More PYQs from JEE Mains
- The value of \(\tan 9^{\circ}-\tan 27^{\circ}-\tan 63^{\circ}+\tan 81^{\circ}\) is \(............\).JEE Mains 2023 Medium
- The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by \(0.02 \%\) is ______ \(\mathrm{m}\). (Take density of sea water \(=10^3 \mathrm{kgm}^{-3}\), Bulk modulus of rubber \(=9 \times 10^8 \mathrm{Nm}^{-2}\), and \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) )JEE Mains 2024 Hard
- Given below are two statements:
Statement I: An object moves from position \( r_{1} \) to position \( r_{2} \) under a conservative force field \( \vec{F} \). The work done by the force is \( W=-\int_{r_{1}}^{r_{2}}\vec{F}\cdot d\vec{r} \).
Statement II Any object moving from one location to another location can follow infinite number of paths. Therefore, the amount of work done by the object changes with the path it follows for a conservative force.
In the light of above statement, choose the correct answer from the options given below:JEE Mains 2026 Medium - Consider an arithmetic series and a geometric series having four initial terms from the set \(\{11,8,21,16,26,32,4\}\) If the last terms of these series are the maximum possible four digit numbers, then the number of common terms in these two series is equal to .......JEE Mains 2021 Medium
- Let \(\vec{\alpha}=4 \hat{ i }+3 \hat{ j }+5 \hat{ k }\) and \(\vec{\beta}=\hat{ i }+2 \hat{ j }-4 \hat{ k }\). Let \(\vec{\beta}_1\) be parallel to \(\vec{\alpha}\) and \(\vec{\beta}_2\) be perpendicular to \(\vec{\alpha}\). If \(\vec{\beta}=\vec{\beta}_1+\vec{\beta}_2\), then the value of \(5 \vec{\beta}_2 \cdot(\hat{ i }+\hat{ j }+\hat{ k })\) isJEE Mains 2023 Hard
- If \(A\) and \(B\) are two events such that \(P(A)=0.7\), \(\mathrm{P}(\mathrm{B})=0.4\) and \(\mathrm{P}(\mathrm{A} \cap \overline{\mathrm{B}})=0.5\), where \(\overline{\mathrm{B}}\) denotes the complement of \(B\), then \(P(B \mid(A \cup \bar{B}))\) is equal:-JEE Mains 2025 Medium