MHT CET · Physics · Oscillations
A particle is performing uniform circular motion along the circumference of the circle of diameter 1 m with frequency 4 Hz . The acceleration of the particle in \(\mathrm{m} / \mathrm{s}^2\) is
- A \(8 \pi^2\)
- B \(16 \pi^2\)
- C \(24 \pi^2\)
- D \(32 \pi^2\)
Answer & Solution
Correct Answer
(D) \(32 \pi^2\)
Step-by-step Solution
Detailed explanation
For a body performing U.C.M, \(\mathrm{a}=\omega^2 \mathrm{x}\) and
\(\begin{aligned}
& \omega=2 \pi \mathrm{f} \\
& \mathrm{x}=\frac{\mathrm{d}}{2}=.5 \mathrm{~m}
\end{aligned}\)
\(\begin{aligned} & a=4 \pi^2 f^2 \times .5 \Rightarrow a=4 \pi^2(4)^2 \times .5 \\ \therefore \quad & a=32 \pi^2\end{aligned}\)
\(\begin{aligned}
& \omega=2 \pi \mathrm{f} \\
& \mathrm{x}=\frac{\mathrm{d}}{2}=.5 \mathrm{~m}
\end{aligned}\)
\(\begin{aligned} & a=4 \pi^2 f^2 \times .5 \Rightarrow a=4 \pi^2(4)^2 \times .5 \\ \therefore \quad & a=32 \pi^2\end{aligned}\)
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 voltmeter of range \(3 \mathrm{~V}\) and resistance \(200 \Omega\) cannot be converted to an ammeter of rangeMHT CET 2011 Medium
- A vehicle starts from rest and accelerates along straight path at \(2 \mathrm{~m} / \mathrm{s}^2\). At the starting point of the vehicle, there is a stationary electric siren. How far has the vehicle nearly gone when the driver hears the siren at \(94 \%\) of its value when the vehicle was at rest?
(speed of sound \(=330 \mathrm{~m} / \mathrm{s}\) )MHT CET 2025 Medium - If \(\alpha\) is angular acceleration, \(\omega\) is angular velocity and \(a\) is the centripetal acceleration then, which of the following is true?MHT CET 2009 Easy
- An electron at rest is accelerated by a potential ' \(\mathrm{V}_{1}\) ', in uniform magnetic field
experiences a force 'F \(1^{\prime}\). When potential is changed to \({ }^{\prime} \mathrm{V}_{2}^{\prime}\) ', the force experienced
by the electron gets doubled. The ratio of \(V_{1}\) to \(V_{2}\) isMHT CET 2020 Easy - Find the value of \(-197^{\circ} \mathrm{C}\) temperature in Kelvin.MHT CET 2021 Easy
- A \(1 \mu \mathrm{~F}\) capacitor is charged to 50 V and is then discharged through 10 mH inductor of negligible resistance. The maximum current in the inductor isMHT CET 2024 Easy
More PYQs from MHT CET
- Which among the following compounds has highest boiling point?MHT CET 2020 Hard
- The half life values for two different first order reaction A and \(B\) are 75 minute and 2.5 hour respectively. What is the \(\frac{r_B}{r_A}\) ratio of rate constants?MHT CET 2025 Medium
- What does magnetic quantum number describe?MHT CET 2022 Easy
- The ability to perceive stimulus and to enter a state of activity is the property of nerve fiber. It is calledMHT CET 2024 Hard
- The value of \(\lim _{x \rightarrow \infty}\left(\frac{x^{2}-2 x+1}{x^{2}-4 x+2}\right)^{x}\) isMHT CET 2007 Easy
- Two adjacent of sides parallelogram \(\mathrm{ABCD}\) are given by \(\overline{\mathrm{AB}}=2 \hat{i}+10 \hat{j}+11 \hat{k}\) and \(\overline{\mathrm{AD}}=-\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+2 \hat{\mathrm{k}}\). The side \(\mathrm{AD}\) is rotated by angle \(\alpha\) in plane of parallelogram so that \(\mathrm{AD}\) becomes \(\mathrm{AD}^{\prime}\). If \(\mathrm{AD}^{\prime}\) makes a right angle with the side \(A B\), then the cosine of the angle \(\alpha\) is given byMHT CET 2023 Hard