Question

Consider the following statements:

Statement 1: 1 AU = 15.8 millions of a light year

Statement 2: 1 light year = 6.32 $\times$ ${10}^4$ AU

• A. Statement 1 is true; Statement 2 is false
• B. Statement 1 is false; Statement 2 is true
• C. Both statements are true
• D. Both statements are false

Answer 1

The correct option is C

Both statements are true

1 AU = 1.496 $\times$ ${10}^{11}$ m = $\frac{(1.496\times {10}^{11})}{(9.467\times {10}^{15})}$ = 15.8 $\times$ ${10}^{-6}$ light year

1 light year = 9.467 $\times$ ${10}^{15}$ m = $\frac{(9.467\times {10}^{15})}{(1.496\times {10}^{11})}$ = 6.32 $\times$ ${10}^4$ AU