Chladni Plate

The whole plate has the same frequency: 345 Hz. So that rules out two of the answers.

Amplitude is the energy. In this case, up and down motion. If the amplitude is high, the grains are going to get bounced about randomly. If the amplitude is low, they will not get bumped hard enough to move. So the grains settle where the amplitude is low.

When the Chladni plate in the gif used for this problem is vibrated with a frequency of 345 hz the parts of the plate that have a resonant frequency of 345 hz vibrate with a larger amplitude than the parts of the plate that do not. The parts of the plate that are not vibrating at the resonant frequency of 345 hz have no or very low amplitudes hence the grains of sand gather in the parts of the plate with lower or no amplitudes. If the experiment is continued with different frequencies the patterns will change depending upon the resonant frequencies of each part of the plate. For a detailed explanation of this phenomenon read:

Physics demonstrations: Chladni patterns

It's the same concept as a standing wave on a string, but extrapolated to 2D. Given the properties of the string including tightness and length, there will be nodes at which the string doesn't go up or down, as the +/- interference cancels perfectly at a single and steady location.

These nodes are seen as lines and loops on the 2D oscillating face, and if you watch YouTube videos (https://youtu.be/1yaqUI4b974) of monotonically increasing pitch, you see that, like standing waves on a string, the patterns seen are quantized. Only certain patterns exist, and only at distinct, definable frequencies. Any frequency that deviates from the quantized frequencies will demonstrate weak pattern formation or complete loss of pattern formation. Finally, as with string standing waves, the higher the frequency, the more sensitive to deviation the standing waves become. That is, high Hz standing waves require much higher precision of quantized frequency matching than low Hz.

First thing you should make out is that the frequency of the entire thing will remain same that is 345hz. hence we can remove the first two options so we are left with two options now imagine the powder at a closer look now we have two cases that are 1. the place is vibrating with larger amplitude: if that is the case then the power would slide towards a lower religion due to the gravitational force on it 2. the place is vibrating with a lower amplitude: hence this is the correct option to be considered. Because the place with lower amplitude can hold the powder between two places of higher amplitude.

Hence the correct option is that "THE PLACES ARE VIBRATING WITH A LOWER AMPLITUDE".

As the frequency is same on the whole plate, so our concern is on the amplitude.. Now where amplitude is more,the energy will be automatically increase. The places whereth powder cant stay are of higher energies. So its obvious for the places where the powder gathers to be of lower energy. So lower amplitude is the correct answer.

When liquids are subjected to vibrations, such as a rock being dropped in the middle of a puddle, the waves radiate out getting lower and lower amplitudes till there is no amplitude at all. The powder spreads out in a similar pattern, forming a picture of the amplitude waves being produced, strongest and highest at the center and dissipating at the outer edges.

345 hz is the 5 th harmonic of super glu's resonant frequency, so it will gather where that combines with that of the gluons.