NEET Questions

A standing wave on a string fixed at both ends is described by $y(x,t) = 0.04\sin(2\pi x)\cos(100\pi t)$ (in SI units). The fundamental frequency of the string is:

Two waves of the same frequency and amplitude are traveling in opposite directions in a string. Which of the following is true about the resulting wave?

A string fixed at both ends vibrates in its third harmonic with a frequency of 600 Hz. If the tension in the string is increased by a factor of 4, keeping the linear mass density constant, what is the new fundamental frequency?

Two identical sinusoidal waves travel in opposite directions along a stretched string. The resultant wave is described by $y(x,t) = 0.02\sin(5\pi x)\cos(100\pi t)$. What is the speed of the individual waves?

A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz, and no other resonant frequencies between these two. What is the fundamental frequency of the string?

A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by $y\left( {x,t} \right) = 0.5\sin \left( {\frac{{5\pi }}{4}x} \right)\cos \left( {200\pi t} \right)$. What is the speed of the travelling wave moving in the positive x direction?

A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by $y\left( {x,t} \right) = 0.5\sin \left( {\frac{{5\pi }}{4}x} \right)\cos \left( {200\pi t} \right)$. What is the speed of the travelling wave moving in the positive x direction?

A standing wave having 5 nodes and 4 antinodes is formed between two atoms having a distance of $2.0\,\mathop {\rm{A}}\limits^{\rm{o}}$ between them. The wavelength of the standing wave is

The transverse displacement of string fixed at both ends is given by $y = 0.06\,\sin \left( {\frac{{2\pi x}}{3}} \right)\cos \left( {120\,\pi t} \right)$, where x and y are in metre and t is in second. The length of the string is 1.5m and its mass is $3 imes {10^{ - 2}}\,\,kg$ . The tension in the string is equal to

A standing wave having 5 nodes and 4 antinodes is formed between two atoms having a distance of $2.0\,\mathop {\rm{A}}\limits^{\rm{o}}$ between them. The wavelength of the standing wave is