What is the maximum value of a plane angle an | vedclass

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Question

(A) The plane angle is defined as the ratio of the arc length to the radius of a circle. For a full circle,the arc length is $2 \pi r$,so the maximum

Vedclass · Accepted Answer

$2 \pi \; rad$ and $4 \pi \; sr$

Vedclass · Answer

(A) The plane angle is defined as the ratio of the arc length to the radius of a circle. For a full circle,the arc length is $2 \pi r$,so the maximum plane angle is $\frac{2 \pi r}{r} = 2 \pi \; rad$.The solid angle is defined as the ratio of the area of a spherical cap to the square of the radius of the sphere. For a full sphere,the surface area is $4 \pi r^2$,so the maximum solid angle is $\frac{4 \pi r^2}{r^2} = 4 \pi \; sr$.

Column-$I$	Column-$II$
$(1)$ Distance between Earth and stars	$(a)$ Kilometer
$(2)$ Wavelength of infrared radiation	$(b)$ Light-year
	$(c)$ $\mathring{A}$

What is the maximum value of a plane angle and a solid angle?

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Match the items in Column-$I$ with the appropriate units in Column-$II$.
Column-$I$ Column-$II$
$(1)$ Distance between Earth and stars $(a)$ Kilometer
$(2)$ Wavelength of infrared radiation $(b)$ Light-year
$(c)$ $\mathring{A}$

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