Select True or False for the following sentences:

$1.$A telescope's light$-$collecting area is determined by its shape, not its diameter. $$TrueFalse

$2.$A $10-$meter telescope has $25$ times the light$-$collecting area of a $2-$meter telescope due to the square relationship between diameter and area. $$TrueFalse

$3.$The angular resolution of the human eye is about $60$ arcseconds$.$TrueFalse

$4.$Larger telescopes always have better angular resolution than smaller telescopes. $$TrueFalse

$5.$The diffraction limit of a telescope depends on the diameter of its primary mirror and the wavelength of the observed light. $$TrueFalse

$6.$Radio telescopes can achieve better angular resolution than visible$-$light telescopes with the same diameter. $$TrueFalse

$7.$Earth$\text{'}$s atmosphere has no impact on a telescope's angular resolution. $$TrueFalse