A new unit of length is chosen such that the speed of light in vacuum is unity. What
is the distance between the Sun and the Earth in terms of the new unit if light takes
8 min and 20 s to cover this distance ?

Solution

Distance space between space sun space and space earth space is comma space speed space of space light space cross times space time space taken space by space light space to space cover space the space distance space Given comma space Speed space of space light space equals space 1 space unit Time space taken comma space straight t space equals space 8 space min space 20 space sec space equals space 500 space straight s space So comma space Distance space between space the space sun space and space the space earth space equals space 1 cross times space 500 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 500 space units

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