State the order of magnitude of the following:
(a) Acceleration due to gravity $g = 9.81 m / s^{2}$
(b) The gravitation constant $G = 6.67 \times 10^{- 11} \frac{N m^{2}}{K g^{2}}$
(c) The period of rotation of the earth about its own axis.

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Solution

Order of the magnitude is given by the power of 10 in any quantity.

(a) Acceleration due to gravity, $g = 9.81 m / s^{2}$

So, order is $10^{0}$

(b) Gravitational constant, $G = 6.67 \times 10^{- 11} N m^{2} K g^{- 1}$

So, order is $10^{- 11}$

(c) The period of rotation of the earth about its own axis is
So, order is $23 h r s 56 min s 4 sec s = 86164 sec$
$8.61 * 10^{4}$ sec

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State the order of magnitude of the following:(a) Acceleration due to gravity g=9.81m/s2(b) The gravitation constant G=6.67×10−11Nm2Kg2(c) The period of rotation of the earth about its own axis.

State the order of magnitude of the following:
(a) Acceleration due to gravity $g = 9.81 m / s^{2}$
(b) The gravitation constant $G = 6.67 \times 10^{- 11} \frac{N m^{2}}{K g^{2}}$
(c) The period of rotation of the earth about its own axis.