Name: Accuracy and Precision
Uploaded: 2019-07-19
Duration: 6 min 1 s
Description: Precision and accuracy are two terms that have been twisting many brains into thinking they are synonymous with each other. In reality, they are two very dif...

Question

Consider a sun like a star at a distance of

2 parsec

. When it is seen through a telescope with magnification, what should be angular size of the star? Sun appears to be

(1 / 2) °

from the earth due to atmospheric fluctuations, eye cannot resolve objects smaller than

1

arc minute.

Accepted Answer

At $1 A . U .$ sun's angular diameter is $(1 / 2) °$ .

Angular diameter of the sun like star at a distance of $2 parsec$ .

Since, $1 parsec$ is $2 \times 10^{5} A . U .$ then angular diameter of sun like star at a distance of $2 parsec$ will be:

$θ = \frac{(1 / 2) °}{2 \times 10^{5}} = {(\frac{1}{8} \times 10^{- 5})}^{\circ}$

Converting degree to arc min: ${(\frac{1}{8} \times 10^{- 5})}^{\circ} \times 60' = 7.5 \times 10^{- 5} arc \min$

The angular diameter of the star seen using a telescope of $100$ magnification will be:

$100 \times (7.5 \times 10^{- 5} arc \min) = 7.5 \times 10^{- 3} arc \min$

Since the eye cannot resolve smaller than $1 arc \min$ due to atmospheric fluctuations.

So, angular size of sun like star appears as $1 arc \min$ .

Consider a sun like a star at a distance of $2 parsec$ . When it is seen through a telescope with magnification, what should be angular size of the star? Sun appears to be $(1 / 2) °$ from the earth due to atmospheric fluctuations, eye cannot resolve objects smaller than $1$ arc minute.

Important Questions on Units and Measurement

Learn and Prepare for any exam you want !

Consider a sun like a star at a distance of 2 parsec. When it is seen through a telescope with magnification, what should be angular size of the star? Sun appears to be 1/2° from the earth due to atmospheric fluctuations, eye cannot resolve objects smaller than 1 arc minute.

Important Questions on Units and Measurement

Learn and Prepare for any exam you want !

Consider a sun like a star at a distance of $2 parsec$ . When it is seen through a telescope with magnification, what should be angular size of the star? Sun appears to be $(1 / 2) °$ from the earth due to atmospheric fluctuations, eye cannot resolve objects smaller than $1$ arc minute.