The nearest star to our solar system is 4.29 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Distance of the star from the solar system $D = 4.29 	ext{ ly}$.$1 	ext{ light year} = 9.46 	imes 10^{15} 	ext{ m}$.$D = 4.29 	imes 9.46 	im

Vedclass · Accepted Answer

$1.52''$

Vedclass · Answer

(A) Distance of the star from the solar system $D = 4.29 	ext{ ly}$.$1 	ext{ light year} = 9.46 	imes 10^{15} 	ext{ m}$.$D = 4.29 	imes 9.46 	imes 10^{15} 	ext{ m} \approx 4.058 	imes 10^{16} 	ext{ m}$.Since $1 	ext{ parsec} = 3.08 	imes 10^{16} 	ext{ m}$,the distance in parsecs is $D = \frac{4.058 	imes 10^{16}}{3.08 	imes 10^{16}} \approx 1.32 	ext{ parsec}$.For parallax,the baseline $d$ is the diameter of Earth's orbit,$d = 3 	imes 10^{11} 	ext{ m}$.The parallax angle $	heta = \frac{d}{D} = \frac{3 	imes 10^{11}}{4.058 	imes 10^{16}} 	ext{ radians}$.$	heta \approx 7.39 	imes 10^{-6} 	ext{ radians}$.Since $1'' = 4.85 	imes 10^{-6} 	ext{ radians}$,we have $	heta = \frac{7.39 	imes 10^{-6}}{4.85 	imes 10^{-6}} \approx 1.52''$.

The nearest star to our solar system is $4.29$ light years away. How much is this distance in terms of parsecs? How much parallax would this star (named Alpha Centauri) show when viewed from two locations of the Earth six months apart in its orbit around the Sun?

Similar Questions

Calculate the solid angle subtended by the periphery of an area of $1 \, cm^2$ at a point situated symmetrically at a distance of $5 \, cm$ from the area. (in $, sr$)

What is mass? Write the effect of external factors on mass.

The Sun's angular diameter is measured to be $1920^{\prime \prime}$. The distance $D$ of the Sun from the Earth is $1.496 \times 10^{11} \ m$. What is the diameter of the Sun?

$A$ cuboidal block has dimensions $(1.5 \times 1.5 \times 1.0) \ cm$. What is the total surface area of the cuboid (in $cm^2$)?

Explain the method for the measurement of the diameter of a planet or star.

Vedclass Test Series

Exam Paper Generator

Online Exam Module