### Pendulum Demonstration and Periods#### Diagrams Explanation:The image displays a graphical representation of two pendulums of different lengths oscillating back and forth, attached to a common horizontal support structure. The shorter pendulum on the right has a period labeled "Period: 3 s," while the longer pendulum on the left has a period labeled "Period: 6 s". Here’s a detailed breakdown of the diagram:1. **Support Structure**: - A horizontal structure, depicted in yellow (possibly a pencil for illustration purposes), is holding the pendulums. 2. **Pendulums**: - **Right Pendulum**: Shorter in length with a periodic motion of 3 seconds. - **Left Pendulum**: Longer in length with a periodic motion of 6 seconds. 3. **Motion Paths**: - The pendulums show a curved path of oscillation, indicated by dashed lines and arrows, representing their movement back and forth. Each pendulum swings to and fro with a distinct period, demonstrating the fundamental principle of pendulum motion where the period is dependent on the length of the pendulum.#### Question:What type of wave phenomenon is illustrated by the two pendulums with different periods?- Constructive interference- Resonance- Destructive interference- Standing waveSelect the most appropriate option from the above.This question relates to the concept of wave phenomena and demands identification of the specific type of interaction depicted by the oscillating pendulums with marked periods. >>> **Note**: The image is used to illustrate wave phenomena in the context of mechanical systems and periodic motion. ### Understanding Resonance in Mechanical Systems**Question 3:**Neha provides an explanation for the Electromotive Brain Transducer 3000 as shown below. She states that when you shake the pencil with a period of 6.0 seconds, the long paperclip will swing with a large amplitude, while the shorter paperclip will not swing much at all. What is the technical term for what causes the long paperclip to vibrate with a large amplitude, but not the short paperclip?**Illustration:**The image below demonstrates a pencil with two paperclips attached to it. One paperclip is longer, and the other is shorter. The pencil is being shaken back and forth. The long paperclip has a swinging period marked as 6 seconds, whereas the shorter paperclip has a swinging period marked as 3 seconds.![Illustration](data:image...)**Explanation:**This concept is best explained by **resonance** in mechanical systems. Resonance occurs when a system oscillates with greater amplitude at specific frequencies. The frequency at which the maximum amplitude of oscillation happens is called the resonant frequency. For the case of the attached paperclips:- The **long paperclip** matches its natural period of oscillation (6 seconds) with the shaking period of the pencil, leading it to swing with a larger amplitude. - The **shorter paperclip**, with a natural period of 3 seconds, does not match the shaking period of the pencil and thus does not swing as significantly.**Key Term:****Resonance** - The phenomenon that occurs when the frequency of externally applied vibrations matches an object's natural frequency, leading to a significant increase in amplitude.

3 Neha gives an explanation for the Electromotive Brain Transducer 3000 shown below. She says that when you shake the pencil with a period of 6.0 seconds, the long paperclip will swing with a large amplitude, but the shorter paperclip will not swing much at allI. What is the technical term for what causes the long paperclip to vibrate with a large amplitude, but not the short paperclip? 1 Period: 3 s Period: 6 s

3 Neha gives an explanation for the Electromotive Brain Transducer 3000 shown below. She says that when you shake the pencil with a period of 6.0 seconds, the long paperclip will swing with a large amplitude, but the shorter paperclip will not swing much at allI. What is the technical term for what causes the long paperclip to vibrate with a large amplitude, but not the short paperclip? 1 Period: 3 s Period: 6 s