Questions in Oscillations

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Five identical springs are used in the following three configurations. The time periods of vertical oscillations in configurations (i), (ii) and (iii) are in the ratio Question Image
A mass $m$ performs oscillations of period $T$ when hanged by spring of force constant $K$. If spring is cut in two parts and arranged in parallel and same mass is oscillated by them, then the new time period will be Question Image
If a watch with a wound spring is taken on to the moon, it
What will be the force constant of the spring system shown in the figure Question Image
Two springs have spring constants ${{K}_{A}}$ and ${{K}_{B}}$ and ${{K}_{A}}>{{K}_{B}}$. The work required to stretch them by same extension will be
The effective spring constant of two spring system as shown in figure will be Question Image
A mass m attached to a spring oscillates every 2 sec. If the mass is increased by 2 kg, then time-period increases by 1 sec. The initial mass is
A mass $M$ is suspended by two springs of force constants $K_1$ and $K_2$ respectively as shown in the diagram. The total elongation (stretch) of the two springs is Question Image
The frequency of oscillation of the springs shown in the figure will be Question Image
The scale of a spring balance reading from 0 to 10 kg is 0.25 m long. A body suspended from the balance oscillates vertically with a period of $\pi /10$ second. The mass suspended is (neglect the mass of the spring)

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