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The distance order of magnitude of a mil...

The distance order of magnitude of a milkywave is `10^(25)m.` If this distance is covered with the speed of light, then the order of magnitude of time to cover this distance will be (speed of light `= 3 xx 10^(8)`m/s)

A

`10 ^(10) S`

B

`10 ^(14) S`

C

`10 ^(15) S`

D

`10 ^(17) S`

Text Solution

Verified by Experts

The correct Answer is:
D
Distance `= 10^(25 )m, `speed=`3 xx 10 m//s `
`therefore` Time `= ("Distance")/("Speed" ) = ( 10 ^(25))/( 3 xx 10 ^(3)) = 3.33 xx 10 ^(16)`
But the number 3.3 is greater than
`sqrt10 = 3.16`
It can be written. `10^(1).` Hence, the order of magnitude of time `= 10 ^(1) xx 10 ^(16) = 10 ^(17) s.`
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