MHT CET · Physics · Laws of Motion
When a disc is rotating with angular velocity \(\omega\), a particle situated at a distance of \(4 \mathrm{~cm}\) just begins to slip. If the angular velocity is doubled, at what distance will the particle start to slip?
- A \(1 \mathrm{~cm}\)
- B \(2 \mathrm{~cm}\)
- C \(3 \mathrm{~cm}\)
- D \(4 \mathrm{~cm}\)
Answer & Solution
Correct Answer
(A) \(1 \mathrm{~cm}\)
Step-by-step Solution
Detailed explanation
Angular velocity \(=\omega\) Centripetal force \(F=m r \omega^{2}\)
or \(\quad r \propto \frac{1}{\omega^{2}}\)
\(\therefore\) \(\frac{r_{1}}{r_{2}}=\frac{\omega_{2}^{2}}{\omega_{1}^{2}}\)
or
\(\frac{4}{r_{2}}=\frac{4 \omega^{2}}{\omega^{2}}\)
or \(r_{2}=1 \mathrm{~cm}\)
or \(\quad r \propto \frac{1}{\omega^{2}}\)
\(\therefore\) \(\frac{r_{1}}{r_{2}}=\frac{\omega_{2}^{2}}{\omega_{1}^{2}}\)
or
\(\frac{4}{r_{2}}=\frac{4 \omega^{2}}{\omega^{2}}\)
or \(r_{2}=1 \mathrm{~cm}\)
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
- For a body of mas ' \(\mathrm{m}\) ', the acceleration due to gravity at a distance ' \(R\) ' from the surface of the earth is \(\left(\frac{g}{4}\right)\). Its value at a distance \(\left(\frac{R}{2}\right)\) from the surface of the earth is \((R=\) radius of the earth, \(g\) = acceleration due to gravity)MHT CET 2021 Medium
- If the frequency of the input voltage is \(50 \mathrm{~Hz}\), applied to a (a) half wave rectifier and (b) full wave rectifier. The output frequency in both cases is respectivelyMHT CET 2023 Medium
- A 2.5 V battery is connected to a potentiometer wire. A cell of e.m.f. 1.08 V is balanced by the voltage drop across 2.16 m of wire. The length of the potentiometer wire isMHT CET 2025 Medium
- A bar of iron having magnetic moment \(2 \cdot 4 \mathrm{Am}^2\) weighs 66 g . If the density of the material of the bar is \(7700 \mathrm{~kg} / \mathrm{m}^3\), the intensity of magnetisation in \(\mathrm{Am}^{-1}\) isMHT CET 2025 Medium
- A particle performs linear S.H.M. at a particular instant, velocity of the particle is ' \(u\) ' and acceleration is ' \(a_1\) ' while at another instant velocity is ' \(V\) ' and acceleration is \(' \mathrm{a}_2\) ' \(\left(\mathrm{o} \lt \mathrm{a}_1 \lt \mathrm{a}_2\right)\). The distance between the two position isMHT CET 2024 Hard
- Ratio of kinetic energy at mean position to potential energy at \(A / 2\) of a partide performing SHMMHT CET 2009 Medium
More PYQs from MHT CET
- \(\frac{1^{2}}{2}+\frac{1^{2}+2^{2}}{3}+\frac{1^{2}+2^{2}+3^{2}}{4}+\frac{1^{2}+2^{2}+3^{2}+4^{2}}{5}+\ldots \ldots \ldots \ldots\) upto 8 terms \(=\)MHT CET 2020 Medium
- Find solubility of \(\mathrm{PbI}_2\) if its solubility product is \(7.0 \times 10^{-9}\).MHT CET 2023 Medium
- Ammonia and oxygen react at high temperature as
\(
4 \mathrm{NH}_{3(\mathrm{~g})}+5 \mathrm{O}_{2(\mathrm{~g})} \longrightarrow \mathrm{NO}_{(\mathrm{g})}+6 \mathrm{H}_2 \mathrm{O}_{(\mathrm{g})} \text {. }
\)
If rate of formation of \(\mathrm{NO}_{(\mathrm{g})}\) is \(3.6 \times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}\) then rate of disappearance of ammonia isMHT CET 2021 Medium - The centre of the hyperbola \(9 x^{2}-36 x-16 y^{2}+96 y-252=0\) is Ans \(\times\) i. \((-2,-3)\)MHT CET 2020 Medium
- Ethylidene dichloride is obtained by the reaction of excess of \(\mathrm{HCl}\) withMHT CET 2009 Medium
- If \(\bar{a}=2 \hat{i}+3 \hat{j}+2 \hat{k}, \bar{b}=2 \hat{i}+\hat{j}-\hat{k}\) and \(\bar{c}=3 \hat{i}-\hat{j} \quad\) are such that \(\bar{a}+\lambda \bar{b}\) is perpendicular to \(\bar{c}\), then the value of \(\lambda\) isMHT CET 2023 Easy