When a body moves constantly from one position to the other and back to the initial position, then this motion of the body is called vibration.

Vibration is a rapid to and fro motion of the object. 

All vibration produces sound. In some cases vibrations are visible to our naked eyes but Observe that sound is produced by vibration in some cases they can only be felt not seen. In all the above activities sound can be produced.

yes, sound waves are mechanical waves.

all vibrating bodies produce sound

Ghatam is not a percussion instrument, whereas it is a ghana vadya.

Sound is a form of energy produced and transmitted by vibrating matter. Sound travels in waves. When sound moves through matter (solid, liquid, or a gas), the molecules of the matter move backward and forward in the direction in which the wave is travelling. This movement is called a vibration. Sound travels more quickly through solids than through liquids and gases because the molecules of a solid are closer together. Sound travels the lowest through gases because the molecules of a gas are farthest apart. In a vacuum sound cannot travel because there is no matter for it to move through.
Hence, the sound waves transfer vibrations or disturbance to produce sound.

    Periodic motion is defined as the motion which is repeated identically after a fixed interval of time , to and fro motion is not necessary here .

   When we put air in a bamboo flute by our mouth , we give energy to the air inside the flute and air inside the bamboo flute starts vibrating and we get a sweet sound .

The vibrations produced in the air while blowing a whistle, produces sound.

When the sticks hit on the surface of the membrane, the membrane vibrates and results in the production of sounds.

Answer is C.

The top of the tabla drum is covered with a stretched, layered leather membrane held in place by leather braces. The wooden pegs between the braces and the drum adjust the tension in the braces, thus controlling the pitch of the instrument.
Hence, to increase the pitch of the sound produced the player tightens the skin by stretching the string around it.

When a glass filled with water is struck with a stick, it vibrates and this vibration creates ripples in the water. These ripples prove that the glass vibrates. Also, a sound is produced due to the vibration of the glass.

Flute is played by blowing air into the instrument. So, it is a blow / wind instrument. Drums are played by hitting on its stretched membrane. So, it is a beat instrument.

When a guitarist plucks the strings of a guitar, the strings vibrate and force the entire guitar to vibrate as well. The sound that we hear is produced due to the vibration of the entire instrument. If the strings are not tight enough the entire instrument may not vibrate and the correct sound may not be obtained.

vibrations in the string makes or produces notes .

Pitch of sound depends on frequency. The frequency of sound emitted by a stretched string depends upon the tension on the string.  Greater tension means greater frequency, which means greater pitch. When we tighten the string of an instrument we are increasing the tension on the string. This increases the frequency. Hence pitch increases

tuning  fork has two metal prongs which are vibrated and sound is produced so the answer is A.

all the instruments given here correctly matches with their vibrating parts.

Wind instruments are those which are played by blowing air into them through the human mouth.  They include saxophone,  trumpet, flute etc. In any wind instrument,  it is the air column which vibrates with a specific tone and produces music.

tunning peg is used to adjust the string for getting right pitch in violin

Percussion instruments are those which are played by hitting on the membrane of that instrument. They include instruments such as tabla, bell drum, cymbals etc.

String instruments are those which are played by manually vibrating the strings made of metal. When these strings are made to vibrate they emit a sound of a specific tone and produce music. Examples of such instruments are Banjo, guitar,  violin and so on. 

Considering $n=k{l}^{a}{d}^{b}{y}^{c}$--------(A) 

String vibration is there in sitar.

A body of whistle is responsible for the whistle to produce sound.

Percussion instruments are musical instruments that are played by banging and shaking both.

Due to change in air column the wavelength and fundamental frequency changes. So the pitch of the sound changes which results in difference in the produced sounds .

In violin and guitar, only the string is responsible for sound production. Whereas in Tabla, the diaphragm, as well as the air in the Tabla, produce sound.