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1 attometer is ………. Nanometre
(A) 109
(B) 108
(C) 107
(D) 109

Answer
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Hint: 1 attometre is equal to 1×1018 metres. 1 nanometer is equal to 1×109 meters. Using the two relations, we can multiply or divide them using the unit as a guide.

Complete Step-by-Step solution:
By the phrasal of the question, we are to find the equivalent of 1 attometre (a unit of length) in nanometre. To do this, we can use the knowledge of their conversion to metres. What is meant by this is to use the knowledge of the equivalent of attometre to metre, and the equivalent of 1 nanometre to metres.
1 attometre is equal to 1×1018 metres i.e. 1am=1018m and this also implies that 1018 attometre makes 1 metre that is 1018am=1m. This can be written as 1018amm
1 nanometre is equal to 1×109 metres i.e. 1nm=109m and this can be written as 109mnm
Hence to find the equivalent of attometre in nanometre, we shall do as follows
109mnm×1018amm
Hence, by computation and cancellation of m, we have
109amnm
Then this means that 109 is equal to 1 nm.
Thus, by inverting 109amnm, we have
1109nmam which is equivalent to 109amnm. This implies that the 109 nanometre makes 1 attometer

Hence, the correct option is A.

Note: Alternatively, we could reason as follows, if
1018 am is 1 m, then 109 m would be equal to
1091018 am, and this is equal to 109am.
Now, but 109 m is 1 nm. Then 109 am is actually equal to 1 nm.
Then 1 am is equal 1109am. And this is equal to 109nm.
Then 1 attometre is, indeed, equal to 109nm, which is identical to as calculated in step by step solution.
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