Q. 915.0( 2 Votes )

# A light year is the distance that light can travel in one year.

1 light year = 9,460,000,000,000 km.

(a) Express one light year in scientific notation.

(b) The average distance between Earth and Sun is 1.496 × 10^{8} km. Is the distance between Earth and the Sun greater than, less than or equal to one light year?

Answer :

(a) For the standard form notation, only one number is kept before the decimal point and rest all numbers are written after decimal point.

The power of 10 denotes the number of terms shifted after the decimal point.

So for 9,460,000,000,000

Here only one number will be kept before decimal point that is 9.

Number of terms to be shifted after decimal point = 12

9,460,000,000,000 = 9.46 × 10^{12} km

(b) One light year = 9.46 × 10^{12} km

Distance between Sun and Earth = 1.496 × 10^{8} km

It is clearly seen that one light year is greater than the distance between sun and earth.

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