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Q.

Charge of an electron is 0.000,000,000,000,000,000,16 coulomb. The correct standard form in coulomb is given by which option?

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a

1.6 × 10 − 17 coulomb

b

1.6 × 10 − 18 coulomb

c

1.6 × 10 − 19 coulomb

d

1.6 × 10 − 20 coulomb

answer is C.

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Detailed Solution

Given that,
Charge of an electron = 0.000,000,000,000,000,000,16 coulomb.
We know standard form is a way of representing a number as a product of decimal numbers and powers of 10.
The number 0.000,000,000,000,000,000,16 contains 18 zeros after the decimal point and is less than 1.
So, the power is negative in nature.
If we include the first non-zero digit after the decimal point, then the power of 10 will be 19.
So,

0.00000000000000000016 = 1.6 × 10 − 19

.
Therefore, the standard form is

1.6 × 10 − 19 coulomb

.
Hence, option 3 is correct.

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