The period of revolution of Jupiter around the sun is 12 times the period of revolution of the earth around the sun. The distance between the Jupiter and sun is n times the distance between the earth and sun. Then the value of n is

Question

The period of revolution of Jupiter around the sun is 12 times the period of revolution of the earth around the sun. The distance between the Jupiter and sun is n times the distance between the earth and sun. Then the value of n is (A) (144)3/2 (B) (144)2/3 (C)  √[3]144  (D)  √[4]144

Tardigrade Admin · Accepted Answer

The time period the earth around the sun T2 propto a3 ?(i) According to the question (12T)2 propto (na)3 ?(ii) ∴ ((12T)2/T2)=((na)3/a3) or 144=n3 or n=√[3]144

Q. The period of revolution of Jupiter around the sun is 12 times the period of revolution of the earth around the sun. The distance between the Jupiter and sun is n times the distance between the earth and sun. Then the value of n is

(144)3/2

(144)2/3

$3144$

$4144$

The time period the earth around the sun $T^{2} \propto a^{3}$ ?(i) According to the question $(12 T)^{2} \propto (na)^{3}$ ?(ii) $∴$ $\frac{( 12 T ) ^{2}}{T ^{2}} = \frac{( na ) ^{3}}{a ^{3}}$ or $144 = n^{3}$ or $n = 3144$

Q. The period of revolution of Jupiter around the sun is 12 times the period of revolution of the earth around the sun. The distance between the Jupiter and sun is n times the distance between the earth and sun. Then the value of n is

(144)3/2

(144)2/3

3144​

4144​

The time period the earth around the sun T2∝a3 ?(i) According to the question (12T)2∝(na)3 ?(ii) ∴ T2(12T)2​=a3(na)3​ or 144=n3 or n=3144​

$3144$

$4144$

The time period the earth around the sun $T^{2} \propto a^{3}$ ?(i) According to the question $(12 T)^{2} \propto (na)^{3}$ ?(ii) $∴$ $\frac{( 12 T ) ^{2}}{T ^{2}} = \frac{( na ) ^{3}}{a ^{3}}$ or $144 = n^{3}$ or $n = 3144$