The nearest star to our solar system is 4.3 light years away. The distance of this star in Parsec is (Mean distance between the earth and the sun = 1.5 × 1011 m and one light year = 9.46 × 1015 m )

Question

The nearest star to our solar system is 4.3 light years away. The distance of this star in Parsec is (Mean distance between the earth and the sun = 1.5 × 1011 m and one light year = 9.46 × 1015 m ) (A)  1.3  (B)  8.0  (C)  13.0  (D)  3.3 × 104

Tardigrade Admin · Accepted Answer

Since, we know that 1 light year = 9.46 × 1015 m ∴ 4.3 light year =4.3 × 9.46× 1015 m and 1 parsec =3.1× 1016 m ∴ 4.3 light year =(4.3× 9.46× 1015/31× 1016) parsec =13.12×10 =1.3 parsec

Q. The nearest star to our solar system is $4.3$ light years away. The distance of this star in Parsec is (Mean distance between the earth and the sun $= 1.5 \times 1 0^{11} m$ and one light year $= 9.46 \times 1 0^{15} m$ )

$1.3$

$8.0$

$13.0$

$3.3 \times 1 0^{4}$

Since, we know that
$1$ light year $= 9.46 \times 1 0^{15} m$
$∴ 4.3$ light year $= 4.3 \times 9.46 \times 1 0^{15} m$
and $1$ parsec $= 3.1 \times 1 0^{16} m$
$∴ 4.3$ light year $= \frac{4.3 \times 9.46 \times 1 0 ^{15}}{31 \times 1 0 ^{16}}$ parsec
$= 13.12 \times 10$
$= 1.3$ parsec

Q. The nearest star to our solar system is 4.3 light years away. The distance of this star in Parsec is (Mean distance between the earth and the sun =1.5×1011m and one light year =9.46×1015m )

1.3

8.0

13.0

3.3×104