1 dyne (a unit of force in CGS system) equals to

1 dyne (a unit of force in CGS system) equals to

$10^3$ g cm/s²
$10^{-3}$ g cm/s²
$10^5$ kg m/s²
$10^{-5}$ kg m/s²
This question was previously asked in
UPSC NDA-1 – 2019
1 dyne, a unit of force in the CGS system, is equal to $10^{-5}$ kg m/s² in the SI system.
– The CGS unit of force is the dyne, defined as 1 g ⋅ cm/s².
– The SI unit of force is the Newton (N), defined as 1 kg ⋅ m/s².
– To convert dyne to Newton, we convert the units:
– 1 gram (g) = $10^{-3}$ kilogram (kg)
– 1 centimeter (cm) = $10^{-2}$ meter (m)
– So, 1 dyne = 1 g ⋅ cm/s² = ($10^{-3}$ kg) ⋅ ($10^{-2}$ m) / s² = $10^{-3} \times 10^{-2}$ kg ⋅ m/s² = $10^{-5}$ kg ⋅ m/s².
Therefore, 1 dyne = $10^{-5}$ N. Conversely, 1 Newton = $10^5$ dyne. Understanding unit conversions between different systems like CGS and SI is fundamental in physics.