MHT CET · Physics · Rotational Motion
Three thin rods, each of mass ' \(M\) ' and length ' \(L\) ' are placed along \(X, Y\) and Z axes which are mutually perpendicular. One end of each rod is at origin. M. I. of the system about Z axis is
- A \(\frac{3 \mathrm{ML}^2}{4}\)
- B \(\frac{2 \mathrm{ML}^2}{5}\)
- C \(\frac{2 \mathrm{ML}^2}{3}\)
- D \(\frac{3 \mathrm{ML}^2}{5}\)
Answer & Solution
Correct Answer
(C) \(\frac{2 \mathrm{ML}^2}{3}\)
Step-by-step Solution
Detailed explanation
\(\begin{array}{ll} & I=\mathrm{I}_1+\mathrm{I}_2+\mathrm{I}_3 \\ \therefore \quad & \mathrm{I}=\frac{\mathrm{ML}^2}{3}+\frac{\mathrm{ML}^2}{3}+0 \\ \therefore \quad & \mathrm{I}=\frac{2 \mathrm{ML}^2}{3}\end{array}\)
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 radius of hydrogen a tomin its ground state is \(5.3 \times 10^{-11} \mathrm{~m}\). After collision with an electron
it is found to have a radius of \(21.2 \times 10^{-11} \mathrm{~m}\).
What is the prindpal quantum number \(n\) of the final state of atom?MHT CET 2009 Medium - In a resonance tube the first resonance with a tunning fork occurs at \(16 \mathrm{~cm}\) and second at \(49 \mathrm{~cm} .\) If the velocity of sound is \(330 \mathrm{~m} / \mathrm{s}\), the frequency of tunning fork isMHT CET 2011 Hard
- The molecular mass of a gas having r.m.s. speed four times as that of another gas having molecular mass 32 isMHT CET 2023 Medium
- The logic gate combination circuit shown in the figure performs the logic function of
MHT CET 2023 Easy - The two ends of a rod of length ' x ' and uniform cross-sectional area ' A ' are kept at temperatures ' \(T_1\) ' and ' \(T_2\) ' respectively ( \(T_1>T_2\) ). If the rate of heat transfer is ' \(Q / t\) ', through the rod in steady state, then the coefficient of thermal conductivity ' K ' isMHT CET 2025 Easy
- A shell of mass 'M' initially at rest suddenly explodes in three fragments. Two of
these fragments are of mass 'M \(/ 4\) ' each, which move with velocities \(3 \mathrm{~ms}^{-1}\) and
\(4 \mathrm{~ms}^{-1}\) respectively in mutually perpendicular directions. The magnitude of velocity of the third fragment isMHT CET 2020 Medium
More PYQs from MHT CET
- Which of the following molecule contain \(50 \%\) p character of hybrid orbital in C atom?MHT CET 2020 Easy
- \(2 \cdot 5 \mathrm{~kJ}\) of work is done on the system and it releases \(1500 \mathrm{~J}\) of heat. What is the change in internal energy?MHT CET 2020 Medium
- Limestone is used as a flux in the extraction ofMHT CET 2019 Easy
- Ordinary bodies 'A' and 'B' radiate maximum energy with wavelength difference \(4 \mu \mathrm{m}\). The absolute temperature of body 'A' is 3 times that of ' \(\mathrm{B}\) '. The wavelength at
which body 'B' radiates maximum energy isMHT CET 2020 Easy - The enzymes required for ETS are arranged in/on ____.MHT CET 2022 Medium
- If two vertices of a triangle are \(\mathrm{A}(3,1,4)\) and \(\mathrm{B}(-4,5,-3)\) and the centroid of the triangle is \(\mathrm{G}(-1,2,1)\), then the third vertex \(\mathrm{C}\) of the triangle isMHT CET 2023 Medium