WBJEE · Physics · Oscillations
What is the phase difference between two simple harmonic motions represented by \(x_{1}=A \sin \left(\omega t+\frac{\pi}{6}\right)\) and \(x_{2}=A \cos (\omega t) ?\)
- A \(\frac{\pi}{6}\)
- B \(\frac{\pi}{3}\)
- C \(\frac{\pi}{2}\)
- D \(\frac{2 \pi}{3}\)
Answer & Solution
Correct Answer
(B) \(\frac{\pi}{3}\)
Step-by-step Solution
Detailed explanation
Given, \[ \begin{array}{l} x_{1}=A \sin \left(\omega t+\frac{\pi}{6}\right) \\ x_{2}=A \cos (\omega t) \\ x_{2}=A \operatorname{sin}\left(\omega t+\frac{\pi}{2}\right) \end{array} \] Phase difference \[ \Delta \phi=\phi_{2}-\phi_{1} \]…
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
- The number of atoms of a radioactive substance of half-life \(T\) is \(N_{0}\) at \(t=0 .\) The time necessary to decay from \(N_{0} / 2\) atoms to \(N_{0} / 10\) atoms will beWBJEE 2013 Medium
- A body starts from rest, under the action of an engine working at a constant power and moves along a straight line. The displacement s is given as a function of time ( \(f\) asWBJEE 2019 Medium
- Given \(\overrightarrow{\mathrm{C}}=\overrightarrow{\mathrm{A}} \times \overrightarrow{\mathrm{B}}\) and \(\overrightarrow{\mathrm{D}}=\overrightarrow{\mathrm{B}} \times \overrightarrow{\mathrm{A}}\). What is the angle between \(\overrightarrow{\mathrm{C}}\) and \(\overrightarrow{\mathrm{D}}\) ?WBJEE 2009 Easy
- When a \(60 \mathrm{mH}\) inductor and a resistor are connected in series with an AC voltage source, the voltage leads the current by \(60^{\circ}\). If the inductor is replaced by a \(0.5 \mu \mathrm{F}\) capacitor, the voltage lags behind the current by \(30^{\circ} .\) What is the frequency of the AC supply?WBJEE 2019 Medium
- A body when fully immersed in a liquid of specific gravity 1.2 weighs 44 gwt. The same body when fully immersed in water weighs 50 gwt. The mass of the body isWBJEE 2012 Medium
- A ray of light strikes a glass plate at an angle of \(60^{\circ}\). If the reflected and refracted rays are perpendicular to each other, the refractive index of glass isWBJEE 2016 Medium
More PYQs from WBJEE
- Let \(f:[1,3] \rightarrow R\) be a continuous function that is differentiable in (1,3) an \(f^{\prime}(x)=|f(x)|^{2}+4\) for all \(x \in(1,3).\) Then,WBJEE 2019 Medium
- For \(\mathrm{BCl}_{3}, \mathrm{AlCl}_{3}\) and \(\mathrm{GaCl}_{3}\) the increasing order of ionic character isWBJEE 2013 Easy
- The acceleration \(f \mathrm{ft} / \mathrm{sec}^2\) of a particle after a time \(t\) sec starting from rest is given by \(f=6-\sqrt{1.2 t}\). Then the maximum velocity v and time T at attend this velocity areWBJEE 2024 Easy
- A mouse of mass \(\mathrm{m}\) jumps on the outside edge of a rotating ceiling fan of moment of inertia I and radius \(\mathrm{R}\). The fractional loss of angular velocity of the fan as a result isWBJEE 2023 Medium
- The equation of circle of radius \(\sqrt{17}\) unit, with centre on the positive side of \(x\) -axis and through the point \((0,1)\) isWBJEE 2020 Easy
- Let \(f(x)=\sin x+\cos a x\) be periodic function. ThenWBJEE 2020 Easy