JEE Mains · Physics · STD 11 - 13. oscillations
A particle executes \(S.H.M.\) of amplitude A along \(x\)-axis. At \(t =0\), the position of the particle is \(x=\frac{A}{2}\) and it moves along positive \(x\)-axis the displacement of particle in time \(t\) is \(x=A \sin (\omega t+\delta)\), then the value \(\delta\) will be
- A \(\frac{\pi}{6}\)
- B \(\frac{\pi}{3}\)
- C \(\frac{\pi}{4}\)
- D \(\frac{\pi}{2}\)
Answer & Solution
Correct Answer
(A) \(\frac{\pi}{6}\)
Step-by-step Solution
Detailed explanation
\(X = A \sin (\omega t +\delta)\) \(V = A \omega \cos (\omega t +\delta)\) \(\frac{ A }{2}= A \sin (\omega t +\delta)\) \(\therefore V \text { is tve, } \delta \text { must be }\) \(\text { At } t =0\) \(\text { in } 1^{\text {st }} \text { quadrant or } 4^{\text {th }}\)…
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 gas molecule of mass \(M\) at the surface of the Earth has kinetic energy equivalent to \(0\,^oC\). If it were to go up straight without colliding with any other molecules, how high it would rise? Assume that the height attained is much less than radius of the earth. (\(k_B\) is Boltzmann constant)JEE Mains 2014 Medium
- A square loop of side \(2\) cm is placed in a time varying magnetic field with magnitude as \(B = 0.4\sin(300t)\) Tesla. The normal to the plane of loop makes an angle of \(60°\) with the field. The maximum induced emf produced in the loop is __________ mV.JEE Mains 2026 Hard
- In series \(LCR\) circuit, the capacitance is changed from \(\mathrm{C}\) to \(4 \mathrm{C}\). To keep the resonance frequency unchanged, the new inductance should be _______.JEE Mains 2024 Hard
- The ratio of the weights of a body on the Earth's surface to that on the surface of a planet is \(9 : 4\). The mass of the planet is \(\frac{1}{9}^{th}\) of that of the Earth. If \('R'\) is the radius of the Earth, what is the radius of the planet ? (Take the planets to have the same mass density)JEE Mains 2019 Medium
- Projectiles \(A\) and \(B\) are thrown at angles of \(45^{\circ}\) and \(60^{\circ}\) with vertical respectively from top of a \(400 \mathrm{~m}\) high tower. If their ranges and times of flight are same, the ratio of their speeds of projection \(v_A: v_B\) is _______.JEE Mains 2024 Hard
- Match List-I with List-II.
LIST - I LIST - II (A) Isobaric (I) ΔQ = ΔW (B) Isochoric (II) ΔQ = ΔU (C) Adiabatic (III) ΔQ = zero (D) Isothermal (IV) ΔQ = ΔU + PΔV
\(\Delta \mathrm{Q}=\) Heat supplied
\(\Delta \mathrm{W}=\) Work done by the system
\(\Delta \mathrm{U}=\) Change in internal energy
\(\mathrm{P}=\) Pressure of the system
\(\Delta \mathrm{V}=\) Change in volume of the system
Choose the correct answer from the options given below:JEE Mains 2025 Easy
More PYQs from JEE Mains
- A satellite revolving around a planet in stationary orbit has time period 6 hours. The mass of planet is one-fourth the mass of earth. The radius orbit of planet is _______. (Given \(=\) Radius of geo-stationary orbit for earth is \(4.2 \times 10^4 \mathrm{~km}\) )JEE Mains 2024 Hard
- Let the mean and standard deviation of marks of class \(A\) of \(100\) students be respectively \(40\) and \(\alpha( > 0)\), and the mean and standard deviation of marks of class \(B\) of \(n\) students be respectively \(55\) and \(30-\alpha\). If the mean and variance of the marks of the combined class of \(100+ n\) students are respectively \(50\) and \(350\),then the sum of variances of classes \(A\) and \(B\) isJEE Mains 2023 Hard
- If \({ }^{20} \mathrm{C}_{\mathrm{r}}\) is the co-efficient of \(\mathrm{x}^{\mathrm{r}}\) in the expansion of \((1+x)^{20}\), then the value of \(\sum_{r=0}^{20} r^{2}\,\,{ }^{20} C_{r}\) is equal to :JEE Mains 2021 Hard
- A rectangular block of mass \(5\,kg\) attached to a horizontal spiral spring executes simple harmonic motion of amplitude \(1\,m\) and time period \(3.14\,s\). The maximum force exerted by spring on block is \(.......N\).JEE Mains 2023 Medium
- Two capacitors having capacitance \(C _{1}\) and \(C _{2}\) respectively are connected as shown in figure. Initially, capacitor \(C _{1}\) is charged to a potential difference \(V\) volt by a battery. The battery is then removed and the charged capacitor \(C_{1}\) is now connected to uncharged capacitor \(C _{2}\) by closing the switch \(S\). The amount of charge on the capacitor \(C _{2}\), after equilibrium is
JEE Mains 2022 Medium - Let \(y=y(x)\) be the solution of the differential equation \(2 \cos x \frac{\mathrm{~d} y}{\mathrm{~d} x}=\sin 2 x-4 y \sin x, x \in\left(0, \frac{\pi}{2}\right)\). If \(y\left(\frac{\pi}{3}\right)=0\), then \(y^{\prime}\left(\frac{\pi}{4}\right)+y\left(\frac{\pi}{4}\right)\) is equal to ________.JEE Mains 2025 Easy