MHT CET · Physics · Rotational Motion
The moment of inertia of a circular disc of radius \(2 \mathrm{~m}\) and mass \(1 \mathrm{~kg}\) about an axis \(\mathrm{XY}\) passing through its center of mass and perpendicular to the plane of the disc is \(2 \mathrm{~kg} \mathrm{~m}^2\). The moment of inertia about an axis parallel to the axis \(\mathrm{XY}\) and passing through the edge of the disc is
- A \(6 \mathrm{~kg} \mathrm{~m}^2\)
- B \(4 \mathrm{~kg} \mathrm{~m}^2\)
- C \(10 \mathrm{~kg} \mathrm{~m}^2\)
- D \(8 \mathrm{~kg} \mathrm{~m}^2\)
Answer & Solution
Correct Answer
(A) \(6 \mathrm{~kg} \mathrm{~m}^2\)
Step-by-step Solution
Detailed explanation
About XY axis, \(\mathrm{I}=\frac{1}{2} \mathrm{MR}^2=\frac{1}{2} \times 1 \times(2)^2=2 \mathrm{~kg} \cdot \mathrm{m}^2\)
Moment of inertia about an axis parallel to the axis XY and passing through the edge of the disc,
\(\mathrm{I}^{\prime}=\frac{1}{2} \mathrm{MR}^2+\mathrm{MR}^2=\frac{3}{2} \mathrm{MR}^2=6 \mathrm{~kg} \cdot \mathrm{m}^2\)
Moment of inertia about an axis parallel to the axis XY and passing through the edge of the disc,
\(\mathrm{I}^{\prime}=\frac{1}{2} \mathrm{MR}^2+\mathrm{MR}^2=\frac{3}{2} \mathrm{MR}^2=6 \mathrm{~kg} \cdot \mathrm{m}^2\)
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
- The resultant gate and its Boolean expression for the given circuit is
MHT CET 2020 Easy - The percentage error in the measurement of mass and speed of a particular body is \(3 \%\) and \(4 \%\) respectively. The percentage error in the measurement of kinetic energy isMHT CET 2025 Easy
- In metre-bridge experiment the balance point is obtained if the gaps are closed by \(2 \Omega\) and \(3 \Omega\). A shunt of \(x \Omega\) is added to \(3 \Omega\) resistor to shift the balance point by 22.5 cm . The value of x isMHT CET 2025 Medium
- For an ideal gas the density of the gas is \(\rho_0\) when temperature and pressure of the gas are \(T_0\) and \(\mathrm{P}_0\) respectively. When the temperature of the gas is \(2 \mathrm{~T}_0\), its pressure will be \(3 \mathrm{P}_0\). The new density will beMHT CET 2023 Medium
- A radioactive element A decays into radioactive element C by the following processes in succession.
\(\mathrm{A} \rightarrow \mathrm{~B}+{ }_2 \mathrm{H}_{\mathrm{e}}^4 ; \mathrm{B} \rightarrow \mathrm{C}+2 \mathrm{e}^{-}\)
Then elementsMHT CET 2025 Easy - The size of the real image produced by a convex lens of focal length \(\mathrm{F}\) is ' \(\mathrm{m}\) ' times the size of the object. The image distance from the lens isMHT CET 2023 Medium
More PYQs from MHT CET
- What is the IUPAC name of following compound?
MHT CET 2024 Easy - The minimum value of the function \(f(x)=x \log x\) isMHT CET 2021 Easy
- What type of solid is the silica?MHT CET 2024 Medium
- Considering earth to be a sphere of radius ' \(R\) ' having uniform density ' \(\rho\) ', then value of acceleration due to gravity ' \(g\) ' in terms of R, \(\rho\) and \(\mathrm{G}\) isMHT CET 2023 Hard
- According to reaction, \(\mathrm{Mg}_{(\mathrm{s})}+2 \mathrm{HCl}_{(\mathrm{aq})} \longrightarrow \mathrm{MgCl}_{2(\mathrm{aq})}+\mathrm{H}_{2(\mathrm{~g})} \uparrow\) Calculate the mass of \(\mathrm{Mg}\) required to liberate \(4.48 \mathrm{dm}^3 \mathrm{H}_2\) at STP. \(\left(\right.\) Molar mass of \(\mathrm{Mg}=24 \mathrm{~g} \mathrm{~mol}^{-1}\) )MHT CET 2023 Medium
- Calculate osmotic pressure exerted by a solution containing \(0.822 \mathrm{~g}\) of solute in \(300 \mathrm{~mL}\) of water at \(300 \mathrm{~K}\).
(Molar mass of solute \(=340 \mathrm{~mol}^{-1}, \mathrm{R}=0.0821 \mathrm{~L} \mathrm{~atm} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\) )MHT CET 2021 Medium