NEET UG 2016 — Waves & Oscillations

A uniform rope of length $L$ and mass ${m}_{1}$, hangs vertically from a rigid support. A block of mass ${m}_{2}$ is attached to the free end of the rope. A transverse pulse of wavelength ${\lambda }_{1}$ is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is ${\lambda }_{2}$. The ratio $\frac{{\lambda }_{2}}{{\lambda }_{1}}$ is:

The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe which is $L$ meter long. The length of the open pipe will be

A body of mass, $m$ is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass $m$ is slightly pulled down and released, it oscillates with a time period of $3s$. When the mass $m$ is increased by $1\mathrm{kg}$, the time period of oscillations becomes $5s$. The value of $m$ in $\mathrm{kg}$ is

Three sound waves of equal amplitudes have frequencies, $(n – 1), n, (n + 1)$. They superimpose to give beats. The number of beats produced per second will be

An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is $50 \text{cm}$. The next larger length of the column resonating with the same tuning fork is: