What is meant by the angular diameter of the moon?

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(N/A) The angular diameter of the moon is defined as the angle subtended by the two ends of the moon's diameter at a point on the surface of the Earth.

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What is parallax? Explain the parallax method to measure the distance between the Earth and a planet.

$A$ man wishes to estimate the distance of a nearby tower from him. He stands at a point $A$ in front of the tower $C$ and spots a very distant object $O$ in line with $AC$. He then walks perpendicular to $AC$ up to $B$,a distance of $100 \; m$,and looks at $O$ and $C$ again. Since $O$ is very distant,the direction $BO$ is practically the same as $AO$; but he finds the line of sight of $C$ shifted from the original line of sight by an angle $\theta = 40^{\circ}$ ($\theta$ is known as 'parallax'). Estimate the distance (in $m$) of the tower $C$ from his original position $A$.

The true length of a wire is $3.678 \,cm$. When the length of this wire is measured using instrument $A$,the length is $3.5 \,cm$. When the length of the wire is measured using instrument $B$,it is found to be $3.38 \,cm$. Then,the:

Match List-$I$ (Event) with List-$II$ (Order of the time interval for happening of the event) and select the correct option from the options given below the lists:
List-$I$ List-$II$
$(1)$ Rotation period of earth $(i)$ $10^5\, s$
$(2)$ Revolution period of earth $(ii)$ $10^7\, s$
$(3)$ Period of light wave $(iii)$ $10^{-15}\, s$
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During a total solar eclipse,the moon almost entirely covers the sphere of the sun. Write the relation between the distances and sizes of the sun and moon.

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