Verified Answer :

Everest2017

1 astronomical unit 1 AU = 1.4960 10^11 meters
it is the average distance between earth and sun
mercury to sun distance is = 46,000,000 1000 meters
               = 4.6 10^9 meters = 4.6 10^9 / 1.4960 * 10^11  AU
               =  3.0.74 / 100  = 0.0374 AU

Explanation :

Astronomical unit is the unit to find the average distance between the earth and the sun.

\(1\ AU=1.496\times 10^8\ Km\)

So, \(1\ Km=\dfrac{1}{1.496\times 10^8}\ AU\)

46 million kilometers means, \(46\times 10^6\ Km\)

\(46\times 10^6\ Km=\dfrac{46\times 10^6}{1.496\times 10^8}\)

\(46\ million\ Km=0.3074\ AU\)

Hence, this is the required solution.      

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