A day contains 86400 seconds. How long is a second in days? Incorporate scientific notation into your response.

see full answer

Want to Fund your own JEE / NEET / Foundation preparation ??

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*

An Intiative by Sri Chaitanya

1.1574 × 10 − 5

1.1574 × 10 − 2

1.1574 × 10 − 6

1.1574 × 10 − 9

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

It is given a day containing 86400 seconds.
In exponents the standard form of a number is written as a decimal number between and, multiplied by power of 10.
There are 86400 seconds in a day
A second is

186400

long.
Rewriting the above expression in decimal form A second is 0.000011574 long.
Rewriting the above expression in its usual form

⇒ 00000115741000000000 ⇒ 115741000000000 ⇒ 1.1574 100000 ⇒ 1.1574 105

Using the exponent law,

x − m = 1 x m

we get,

⇒ 1.1574 105 = 1.1574 × 10 − 5

Therefore, a second is long in a day is

1.1574 × 10 − 5

.
Hence option (1) is correct.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET