Question:
Which of the following expressions corresponds to simple harmonic motion along a straight line, where x is displacement and a,b,c are positive constants?
Which of the following expressions corresponds to simple harmonic motion along a straight line, where x is displacement and a,b,c are positive constants?
Show Hint
Negative sign ensures restoring nature.
Updated On: Mar 18, 2026
- a+bx-cx²
- bx²
- a-bx+cx²
- -bx
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: SHM condition.
Restoring force ∝ displacement and opposite in direction.
Step 2: Correct form.
F -x
Was this answer helpful?
0
0
Top Questions on Waves and Oscillations
- A cylindrical block of mass $M$ and area of cross section $A$ is floating in a liquid of density $\rho$ with its axis vertical. When depressed a little and released the block starts oscillating. The period of oscillation is ___.
- JEE Main - 2026
- Physics
- Waves and Oscillations
- The time period of a simple harmonic oscillator is \[ T=2\pi\sqrt{\frac{m}{k}}. \] Measured value of mass \(m\) has an accuracy of \(10%\) and time for 50 oscillations of the spring is found to be \(60\,\text{s}\) using a watch of 2 s resolution. Percentage error in determination of spring constant \(k\) is:
- JEE Main - 2026
- Physics
- Waves and Oscillations
Using a variable frequency ac voltage source the maximum current measured in the given LCR circuit is 50 mA for V = 5 sin (100t) The values of L and R are shown in the figure. The capacitance of the capacitor (C) used is_______ µF.
- JEE Main - 2026
- Physics
- Waves and Oscillations
- Detector \( D \) moves from \( A \) to \( B \) and observes the frequencies are differing by 10 Hz. The source is emitting frequency \( f_0 \) as shown: Speed of detector is 35 times less than speed of sound. Then \( f_0 \) is.
- JEE Main - 2026
- Physics
- Waves and Oscillations
- The displacement of a particle executing simple harmonic motion with time period \(T\) is expressed as \[ x(t)=A\sin\omega t, \] where \(A\) is the amplitude of oscillation. If the maximum value of the potential energy of the oscillator is found at \[ t=\frac{T}{2\beta}, \] then the value of \(\beta\) is ________.
- JEE Main - 2026
- Physics
- Waves and Oscillations
View More Questions
Questions Asked in BITSAT exam
- What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?
- BITSAT - 2025
- Vector Algebra
- A block of mass 5 kg is placed on a frictionless incline of angle $30^\circ$. What is the acceleration of the block down the incline? (Take $g = 9.8\, m/s^2$)
- BITSAT - 2025
- Projectile motion
- Find the value of $ \sin 75^\circ \cos 15^\circ + \cos 75^\circ \sin 15^\circ $.
- BITSAT - 2025
- Trigonometric Identities
- The equivalent resistance between points A and B in a circuit with two resistors of 6 \(\Omega\) each connected in parallel is:
- BITSAT - 2025
- Current electricity
- A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower’s hand?
- BITSAT - 2025
- Kinematics
View More Questions