JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion
A circular disc reaches from top to bottom of an inclined plane of length \(l\). When it slips down the plane, if takes \(\mathrm{t} \mathrm{s}\). When it rolls down the plane then it takes \(\left(\frac{\alpha}{2}\right)^{1 / 2} \mathrm{t} s\), where \(\alpha\) is. _______.
- A \(3\)
- B \(4\)
- C \(5\)
- D \(6\)
Answer & Solution
Correct Answer
(A) \(3\)
Step-by-step Solution
Detailed explanation
For slipping \(\mathrm{a}=\mathrm{g} \sin \theta\) \(\ell=\frac{1}{2} \mathrm{at}^2 \Rightarrow \mathrm{t}=\sqrt{\frac{2 \ell}{\mathrm{g} \sin \theta}}\) For rolling…
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
- Match List-I with List-II.
List-I List-II A. Meter (L) I. \(\sqrt{\dfrac{hc}{G}}\) B. Second (S) II. \(\sqrt{\dfrac{Gh}{c^5}}\) C. Kilogram (M) III. \(\sqrt{\dfrac{K^2L^2c^3}{Gh}}\) D. Kelvin (K) IV. \(\sqrt{\dfrac{Gh}{c^3}}\)
where \(h\) (Planck's constant), \(G\) (gravitational constant) and \(c\) (speed of light in vacuum) as fundamental units.
Choose the correct answer from the options given below :JEE Mains 2026 Hard - In a circuit for finding the resistance of a galvanometer by half deflection method, a \(6\,V\) battery and a high resistance of \(11\,k\Omega \) are used. The figure of merit of the galvanometer \(60\,\mu A/\) division. In the absence of shunt resistance, the galvanometer produces a deflection of \(\theta = 9\) divisions when current flows in the circuit. The value of the shunt resistance that can cause the deflection of \(\theta /2 ,\) is closest to .................. \(\Omega\)JEE Mains 2018 Hard
- Identify the physical quantity that cannot be measured using spherometer :JEE Mains 2024 Hard
- A butterfly is flying with a velocity \(4 \sqrt{2} \,{m} / {s}\) in North-East direction. Wind is slowly blowing at \(1\) \({m} / {s}\) from North to South. The resultant displacement of the butterfly in \(3\, seconds\) is \(....\,{m}.\)JEE Mains 2021 Hard
- A microscope was initially placed in air (refractive index \(1)\). It is then immersed in oil (refractive index \(2)\). For a light whose wavelength in air is \(\lambda\), calculate the change of microscope's resolving power due to oil and choose the correct option.JEE Mains 2022 Medium
- Given below are two statements: one is labelled as Assertion \(A\) and the other is labelled as Reason \(R.\) Assertion \(A:\) An electric fan continues to rotate for some time after the current is switched off. Reason \(R:\) Fan continuous to rotate due to inertia of motion. In the light of above statements, choose the most appropriate answer from the options given below.JEE Mains 2023 Medium
More PYQs from JEE Mains
- Let \(S=\{1,2,3, \ldots, 2022\}\). Then the probability, that a randomly chosen number \(n\) from the set \(S\) such that \(\operatorname{HCF}( n , 2022)=1\), is.JEE Mains 2022 Hard
- A capacitor of capacitance \(900\,\mu F\) is charged by a \(100\,V\) battery. The capacitor is disconnected from the battery and connected to another uncharged identical capacitor such that one plate of uncharged capacitor connected to positive plate and another plate of uncharged capacitor connected to negative plate of the charged capacitor. The loss of energy in this process is measured as \(x \times 10^{-2}\,J\). The value of \(x\) is \(..............\)JEE Mains 2023 Medium
- An massless equilateral triangle \(EFG\) of side \('a'\) (As shown in figure) has three particles of mass \(m\) situated at its vertices. The moment of intertia of the system about the line \(EX\) perpendicular to \(EG\) in the plane of \(EFG\) is \(\frac{ N }{20}\, ma ^{2}\) where \(N\) is an integer. The value of \(N\) is
JEE Mains 2020 Medium - A closely wounded circular coil of radius \(5\,cm\) produces a magnetic field of \(37.68 \times 10^{-4}\,T\) at its center. The current through the coil is \(......A\). [Given, number of turns in the coil is \(100\) and \(\pi=3.14]\)JEE Mains 2022 Easy
- Match List\(-I\) with List\(-II:\)
Choose the correct answer from the options given below:List\(-I\) List\(-II\) \((A)\) \(3\) Translational degrees of freedom \((I)\) Monoatomic gases \((B)\) \(3\) Translational,\(2\) rotational degrees of freedoms \((II)\) Polyatomic gases \((C)\) \(3\) Translational,\(2\) rotational and \(1\) vibrational degrees of freedom \((III)\) Rigid diatomic gases \((D)\) \(3\) Translational,\(3\) rotational and more than one vibrational degrees of freedom \((IV)\) Nonrigid diatomic gases JEE Mains 2023 Medium - Let \(\mathrm{Q}\) and \(\mathrm{R}\) be the feet of perpendiculars from the point \(\mathrm{P}(\mathrm{a}, \mathrm{a}, \mathrm{a})\) on the lines \(\mathrm{x}=\mathrm{y}, \mathrm{z}=1\) and \(\mathrm{x}=-\mathrm{y}\), \(\mathrm{z}=-1\) respectively. If \(\angle \mathrm{QPR}\) is a right angle, then \(12 \mathrm{a}^2\) is equal toJEE Mains 2024 Hard