MHT CET · Physics · Oscillations
The displacement of particle in S.H.M. is \(x=A \cos (\omega t+\pi / 6)\). Its speed will be maximum at time \(\left(\operatorname{Sin} 90^{\circ}=1\right)\)
- A \(\frac{\pi}{3 \omega} s\)
- B \(\frac{\pi}{2 \omega} s\)
- C \(\frac{\pi}{\omega} s\)
- D \(\frac{\pi}{4 \omega} s\)
Answer & Solution
Correct Answer
(A) \(\frac{\pi}{3 \omega} s\)
Step-by-step Solution
Detailed explanation
\(v = \frac{d}{dt} (A \cos (\omega t+\pi / 6)) = -A \omega \sin (\omega t+\pi / 6)\) \(|v|_{max}\) when \(\sin (\omega t+\pi / 6) = \pm 1\)
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 particle moving in a circle with constant angular speed, which of the following statements is 'false'?MHT CET 2025 Easy
- The ratio of radii of gyration of a circular ring and circular disc of the same mass and radius, about an axis passing through their centres and perpendicular to their planes isMHT CET 2021 Easy
- On a photosensitive material, when the frequency of incident radiation is increased by , the kinetic energy of emitted photoelectrons increases from to . The work function of the surface isMHT CET 2017 Medium
- In an n-p-n transistor amplifier, the collector current is 8 mA . If \(80 \%\) of the electrons from the emitter reach the collector, then ( \(\alpha\) and \(\beta\) are current ratios)MHT CET 2025 Medium
- Two coils P and Q are kept near each other. When no current flows through coil \(P\) and current increases in coil \(Q\) at the rate of \(10 \mathrm{~A} / \mathrm{s}\), the e.m.f. in coil \(P\) is 15 mV. When coil \(Q\) carries no current and current of 1.8 A flows through coil P, the magnetic flux linked with coil Q isMHT CET 2025 Medium
- What is the phase difference between the flux linked with a coil rotating in a uniform magnetic field and the induced e.m.f. produced in it?MHT CET 2025 Easy
More PYQs from MHT CET
- The equation of the plane which passes through \((2,-3,1)\) and is normal to the line joining the points \((3,4,-1)\) and \((2,-1,5)\), is given byMHT CET 2010 Easy
- Differentiation of \(\tan ^{-1}\left(\frac{\sqrt{1+x^2}-1}{x}\right)\) w.r.t. \(\cos ^{-1}\left(\sqrt{\frac{1+\sqrt{1+x^2}}{2 \sqrt{1+x^2}}}\right)\), isMHT CET 2023 Hard
- Identify representation of standard hydrogen electrode?MHT CET 2022 Easy
- Calculate the molar mass of metal having density \(22.24 \mathrm{~g} \mathrm{~cm}^{-3}\), crystallizes to form unit cell containing 4 particles.
\(\left(\mathrm{a}^3=5.6 \times 10^{-23} \mathrm{~cm}^3\right)\)MHT CET 2022 Medium - If \(\overline{\mathrm{a}}, \overline{\mathrm{b}}, \overline{\mathrm{c}}\) are three vectors, \(|\overline{\mathrm{a}}|=2,|\overline{\mathrm{b}}|=4,|\overline{\mathrm{c}}|=1\), \(|\overline{\mathrm{b}} \times \overline{\mathrm{c}}|=\sqrt{15}\) and \(\overline{\mathrm{b}}=2 \overline{\mathrm{c}}+\lambda \overline{\mathrm{a}}\), then the value of \(\lambda\), isMHT CET 2023 Medium
- If \(f(x)=k x-\sin x\) is monotonically increasing, thenMHT CET 2007 Easy