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A new unit of length is chosen such that...

A new unit of length is chosen such that the speed of light in vecuum 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 sec. to cover the distance ?

A

500

B

300

C

200

D

100

Text Solution

Verified by Experts

The correct Answer is:
A
The speed of light in vacuum (c) =1
(new unit of `"length" s^(-1)`)
time taken by liht to reach the earth
t=8 min +20s
`=(8xx60+20)s=500s`
`:.` Distance betweenteh sun and the earth = Speed of light `xx` Time
`x=cxxt`
=1 (new unit of engths `s^(-1)`) `xx500 s`
=500 new unit of length.
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Knowledge Check

  • A new unit of length is so chosen that the speed of light in vacuum is unity. What is the distance (in this new unit) between the sun and the earth if light takes 8 min and 20 second to reach the earth from the sun?

    A
    300
    B
    400
    C
    500
    D
    600

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    A
    1
    B
    4.2
    C
    14.5
    D
    21

  • If light takes 5 yr to reach the Earth from a Star. Find the distance between that Star and the Earth in km.

    A
    `3 xx 10^(8)`
    B
    `15 xx 10^(8)`
    C
    `4.73 xx 10^(13)`
    D
    `9.3 xx 10^(12)`

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