a) How many seconds are there in 1 year?
b) How many nanoseconds in 1 year?
c) How many years in 1 second?
[Ans. ( a) 3.1536 x 10⁷s, (b) 3.1536 x 10¹⁶ns (c) 3.1 x 10⁻⁸ yr]


To find: 

a) Seconds in 1 year = ?
b) Nanoseconds in 1 year = ?
c) Years in 1 second = ?


Solution:  

a) Seconds in 1 year 

We know that 
1 year = 24 hours
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds

So, 

1 year = 365 ï½˜ 24 ｘ 60 ｘ 60 s

1 year = 31536000 s

1 year = 3.1536 ï½˜ 10⁷s -- Ans

b) Nanoseconds in 1 year 

To solve this problem we will express 1 second in prefix (nano) So,

1 second = 10⁹ nanoseconds

as [ ∴ 1 year = 3.1536 ï½˜ 10⁷ seconds] so,

1 year = 3.1536 ï½˜ 10⁷  ï½˜ 10⁹ nanoseconds 

1 year = 3.1536 ï½˜ 10⁷⁺⁹ nanoseconds 

1 year = 3.1536 ï½˜ 10¹⁶ nanoseconds  -- Ans

c) Years in 1 second

As [ ∴ 1 year = 3.1536 ï½˜ 10⁷ seconds ] so by unitary method,

3.1536 ï½˜ 10⁷ seconds = 1 year

1 second = `\frac{1}{3.1536 ｘ 10⁷}` year

by simplifying we get

1 second = 0.317 ï½˜ 10⁻⁷ year

or

1 second = 0.317 ï½˜ 10⁻⁸ year--------Ans

Similar Questions:

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Numerical Problem 1.2
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List of 11th Physics Numerical Problems of Chapter - 1
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