This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Item 1 (a):
(i) The property of light being investigated is that light travels in a straight line (rectilinear propagation of light).
(ii) If one of the cardboards is displaced slightly, the holes will no longer be aligned. The light from the candle will be blocked by the displaced cardboard, and the observer will not be able to see the light.
(iii)
(iv)
(v)
(vi) Two evidences that prove the existence of rectilinear propagation of light are:
(vii)
Item 1 (b):
(i) An eclipse is caused by the alignment of three celestial bodies (the Sun, Earth, and Moon) in a straight or nearly straight line. This alignment causes one body to block the light from another, casting a shadow.
(ii)
(iii) The eclipse of the Moon (lunar eclipse) lasts longer than the eclipse of the Sun (solar eclipse) because the Earth's shadow is much larger than the Moon's shadow. The Moon takes a longer time to pass through Earth's wider shadow during a lunar eclipse compared to the relatively narrow path of the Moon's shadow across Earth during a solar eclipse.
(iv)
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Item 1 (a): (i) The property of light being investigated is that light travels in a straight line* (rectilinear propagation of light).
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.