A saturn year is 29.5 times the earth year. How far is the saturn from the sun if the earth is 1.50 × 10^(8) km away from the sun ?

A saturn year is 29.5 times the earth year. How far is the saturn from

1.	A saturn year is 29.5 times the earth year. How far is the saturn from the sun if the earth is 1.50 × 10^(8) km away from the sun ?
Answer» <html><body><p></p>Solution :`implies` <a href="https://interviewquestions.tuteehub.com/tag/time-19467" style="font-weight:bold;" target="_blank" title="Click to know more about TIME">TIME</a> period of earth = 1 yr<br/> Time period of planet Saturn = 29.5 yr <br/><a href="https://interviewquestions.tuteehub.com/tag/orbital-1138169" style="font-weight:bold;" target="_blank" title="Click to know more about ORBITAL">ORBITAL</a> radius of earth `R_E = 1.5 <a href="https://interviewquestions.tuteehub.com/tag/xx-747671" style="font-weight:bold;" target="_blank" title="Click to know more about XX">XX</a> 10^(8)`km<br/> Orbital radius of planet Saturn `= R_S` <br/>According to Kepler.s <a href="https://interviewquestions.tuteehub.com/tag/third-1414358" style="font-weight:bold;" target="_blank" title="Click to know more about THIRD">THIRD</a> law, <br/> `T^(2) prop r^3` <br/> `:. ((T_E)/(T_s))^2 = (R_E/R_S)^3` <br/> `:. (1/(29.5))^2 =((1.5xx10^8)/(R_s))^3` <br/> `:. R_s^3 = (29.5)^2 (1.5 xx10^8)^3`<br/> `= 2.947 xx 10^(27) km` <br/> `:. R_s= 1.43 xx10^(<a href="https://interviewquestions.tuteehub.com/tag/9-340408" style="font-weight:bold;" target="_blank" title="Click to know more about 9">9</a>) km` <br/> `= 1.43 xx10^(12) m`</body></html>