If the velocity of helium atom is 1363 ms -1, then the
de-Broglie wavelength of helium atom at room temperature is
(a) 66x10^-24m
(b) 4.39 x 10^-10 m
(c) 7.32 x10^-14m
(d) 2.335x 10^-20 m
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As a good rational approximation for the square root of two, with a reasonably small denominator, the fraction 99/70 (≈ 1.4142857) is sometimes used.
The sequence A002193 in the OEIS consists of the digits in the decimal expansion of the square root of 2, here truncated to 65 decimal places:
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