Introduction:
When we strike a steel tumbler with a metal spoon, the sound produced depends on the force applied. If we strike it lightly, we hear a feeble sound, while hitting it hard produces a loud sound. This phenomenon can be explained by understanding the concepts of vibrations, sound waves, and resonance.

Vibrations and Sound Waves:
When an object is struck, it starts to vibrate. These vibrations travel through the object in the form of sound waves. Sound waves are a series of compressions and rarefactions that propagate through a medium, such as air or a solid object.

Relation between Force and Sound:
The force with which the spoon strikes the tumbler determines the amplitude of the vibrations produced. The amplitude is the maximum displacement of the particles in the medium from their equilibrium position. A higher force leads to a larger amplitude of vibrations.

Feeble Sound:
When the tumbler is struck lightly, the force applied is relatively small. As a result, the amplitude of vibrations produced in the tumbler is also small. The small amplitude generates sound waves with low energy. These sound waves have a lower pressure variation in the surrounding air, resulting in a feeble sound being produced. The feeble sound is a result of less energy being transferred to the air molecules.

Loud Sound:
When the tumbler is struck hard, a larger force is applied. This larger force leads to a larger amplitude of vibrations in the tumbler. The increased amplitude generates sound waves with higher energy. These sound waves have a greater pressure variation in the surrounding air, resulting in a louder sound being produced. The loud sound is a result of more energy being transferred to the air molecules.

Resonance:
In addition to the force applied, the shape and material of the tumbler also play a role in the sound produced. The tumbler has its own natural frequency of vibrations. When the force applied matches the natural frequency of the tumbler, resonance occurs. Resonance amplifies the vibrations in the tumbler, leading to a louder sound being produced.

Conclusion:
In conclusion, when we strike a steel tumbler with a metal spoon lightly, a feeble sound is heard due to the small amplitude of vibrations and low energy transfer. However, when the tumbler is struck hard, a loud sound is produced due to the larger amplitude of vibrations and higher energy transfer. The shape and material of the tumbler, along with resonance, also influence the sound produced.

AS GREATER THE VIBRATIONS WOULD BE  , THE SOUND PRODUCED   WOULD BE LOUDER. IF WE STRIKE A STEEL TUMBLER WITH A METAL SPOON LIGHTLY, THE ENERGY  WILL BE LESS ( SUPPLIED TO IT ) . IF WE STRIKE IT HARDLY, THE ENERGY  WILL BE MORE AS COMPARED EARLIER .