JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion
A thin circular disc is in the \(xy\) plane as shown in the figure. The ratio of its moment of inertia about \(z\) and \(z'\) axes will be

- A \(1:2\)
- B \(1:4\)
- C \(1:3\)
- D \(1:5\)
Answer & Solution
Correct Answer
(C) \(1:3\)
Step-by-step Solution
Detailed explanation
As we know, moment of inertia of a disc about an axis passing through \(C.G.\) and perpendicular to its plane, \({I_z}\, = \frac{{m{R^2}}}{2}\) Moment of inertia of a disc about a tangential axis perpendicular to its own plane, \({I_z}'\, = \frac{3}{{20}}m{R^2}\)…
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 green light is incident from the water to the air - water interface at the critical angle \((\theta)\). Select the correct statement .JEE Mains 2014 Easy
- A triangular shaped wire carrying \(10 A\) current is placed in a uniform magnetic field of \(0.5\,T\), as shown in figure. The magnetic force on segment \(CD\) is \(....N\) \((\) Given \(BC = CD = BD =5\,cm )\).
JEE Mains 2022 Medium - A disc is rolling without slipping on a surface. The radius of the disc is \(R\). At \(t=0\), the top most point on the disc is \(A\) as shown in figure. When the disc completes half of its rotation, the displacement of point \(A\) from its initial position is
JEE Mains 2023 Medium - Two capacitors \(C_1\) and \(C_2\) are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are \(U_1\) and \(U_2\), respectively. Which of the given statements is true?
JEE Mains 2025 Medium - \(0.056 \,kg\) of Nitrogen is enclosed in a vessel at a temperature of \(127\,^{\circ} C\). The amount of heat required to double the speed of its molecules is k cal. (Take \(R =2\) \(cal \,mole\) \(^{-1} K ^{-1}\) )JEE Mains 2022 Medium
- A set of \(20\) tuning forks is arranged in a series of increasing frequencies. If each fork gives \(4\) beats with respect to the preceding fork and the frequency of the last fork is twice the frequency of the first, then the frequency of last fork is \(\dots \; Hz\).JEE Mains 2022 Easy
More PYQs from JEE Mains
- For the given circuit, comment on the type of transformer used:
JEE Mains 2021 Medium - In a screw gauge, there are \(100\) divisions on the circular scale and the main scale moves by \(0.5\,mm\) on a complete rotation of the circular scale. The zero of circular scale lies \(6\) divisions below the line of graduation when two studs are brought in contact with each other. When a wire is placed between the studs, \(4\) linear scale divisions are clearly visible while \(46^{\text {th }}\) division the circular scale coincide with the reference line. The diameter of the wire is \(...........\times 10^{-2}\,mm\)JEE Mains 2023 Hard
- The acute angle between two lines such that the direction cosines \(l, m, n,\) of each of them satisfy the equations \(l+ m + n = 0\) and \(l^2 + m^2 - n^2 = 0\) is ..…… \(^o\)JEE Mains 2013 Hard
- The number of \(4\) letter words (with or without meaning) that can be formed from the eleven letters of the word \('EXAMINATION'\) isJEE Mains 2020 Hard
- Let \(A\) be a non-singular matrix of order \(3\). If \(\det(3 \, \operatorname{adj}(2 \, \operatorname{adj}((\det A)A))) = 3^{-13} \cdot 2^{-10}\) and \(\det(3 \, \operatorname{adj}(2A)) = 2^{m} \cdot 3^{n}\), then \(|3m + 2n|\) is equal to ______.JEE Mains 2024 Hard
- Which of the following points lies on the locus of the foot of perpendicular drawn upon any tangent to the ellipse, \(\frac{x^{2}}{4}+\frac{y^{2}}{2}=1\) from any of its foci?JEE Mains 2020 Hard