Final answer:
The assertion that a narrow pulse of light will retain its shape as it travels through a medium is false. Various interactions can cause the pulse to change shape or disperse.
Step-by-step explanation:
Assertion: A narrow pulse of light is sent through a medium. The pulse will retain its shape as it travels through the medium.
This assertion is false. When light travels through a medium, it can undergo various interactions, including reflection, absorption, and transmission. These interactions can cause the pulse of light to change shape or even completely disperse.
For example, when light travels from one medium to another with a different refractive index, it undergoes refraction, which can result in a change in direction and shape of the pulse.
Therefore, the reason given in the question is also false, as it assumes that the pulse will retain its shape regardless of the properties of the medium.
In conclusion, both the assertion and the reason are false.