Question:medium
A mass m is suspended from a spring of force constant k and another identical spring is fixed to the floor as shown. The time period of small oscillations is:
A mass m is suspended from a spring of force constant k and another identical spring is fixed to the floor as shown. The time period of small oscillations is:
Show Hint
Springs in series reduce effective stiffness.
Updated On: Mar 18, 2026
- 2π√((m)/(k))
- π√((m)/(k))+π√((m)/(2k))
- π√((m)/(3k/2))
- π√((m)/(k))+π√((m)/(2k))
Show Solution
The Correct Option is D
Solution and Explanation
Was this answer helpful?
0
Top Questions on 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
- 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
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
- Want to practice more? Try solving extra ecology questions todayView All Questions