NEET Physics Oscillations Oscillations Due To Spring MCQs

Two identical springs, each with spring constant $k$, are connected in series and then in parallel. A mass $m$ is attached to each configuration. The ratio of the time period of oscillation in the series configuration to that in the parallel configuration is:

A spring of spring constant $k$ is cut into three equal parts. Two of these parts are connected in series, and this combination is then connected in parallel with the third part. If a mass $m$ is attached to the final combination, the time period of oscillation is:

A mass $m$ hangs vertically from a spring of spring constant $k$. The spring is then cut into two equal parts, and the mass is hung from one of the parts. The ratio of the frequencies of oscillation before and after cutting the spring is:

A block of mass $m$ attached to a spring of spring constant $k$ oscillates on a smooth horizontal surface with amplitude $A$. At what displacement from the equilibrium position is the kinetic energy equal to three times the potential energy?

A spring-mass system oscillates vertically with a time period $T$. If the spring is cut into four equal parts and the same mass is attached to one part, the new time period will be:

A mass $m$ is suspended from a spring of spring constant $k$. The spring is then cut into $n$ equal parts, and the mass is attached to one such part. The frequency of oscillation will change by a factor of:

A spring of force constant $k$ is cut into two equal halves. What is the spring constant of each half?

A mass $m$ attached to a spring of spring constant $k$ oscillates with a time period $T$. If the mass is doubled, what will be the new time period?

Two springs with spring constants $k_1$ and $k_2$ are connected in series. What is the effective spring constant of the combination?

A spring with spring constant $k$ is stretched by a distance $x$. What is the maximum speed of a mass $m$ attached to the spring during its oscillation?