A point object is kept in front of a plane mirror. The plane mirror is...
The answer is 4cm.
In reflection on a plane mirror the image distance is equal to the object distance.
The size of the image equals to the size of the object.
Therefore the size of the amplitude of the reflected amplitude equals the size of the original amplitude.
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A point object is kept in front of a plane mirror. The plane mirror is...
Explanation:
When an object is placed in front of a plane mirror, its image is formed behind the mirror. The image is a virtual image, which means it cannot be projected onto a screen. The image appears to be located at a distance behind the mirror equal to the distance of the object in front of the mirror.
In this case, the plane mirror is undergoing simple harmonic motion (SHM) along the x-axis. The amplitude of the mirror's motion is given as 2 cm. This means that the mirror moves back and forth along the x-axis, with a maximum displacement of 2 cm from its equilibrium position.
Amplitude of SHM of the Object:
Since the object is kept in front of the mirror, its position remains fixed. It does not move with the mirror. Therefore, the amplitude of the object's motion is zero. The object remains at a fixed distance from the mirror throughout the mirror's motion.
Amplitude of SHM of the Image:
The image of the object is formed behind the mirror. As the mirror moves, the position of the image also changes. The amplitude of the image's motion is equal to the amplitude of the mirror's motion, which is 2 cm. This means that the image moves back and forth along the x-axis with a maximum displacement of 2 cm from its equilibrium position.
Conclusion:
In summary, the amplitude of the object's motion is zero since it remains at a fixed distance from the mirror. The amplitude of the image's motion is 2 cm since it moves with the mirror. Therefore, the correct answer is option C) 4 cm, as the image's amplitude is twice that of the mirror's amplitude.