RRB Technician 2014 Ques 23

Question: If the length of second’s pendulum is decreased by 2%, how many seconds it will lose per day?

Options:

A) 216s

B) 432s

C) 864s

D) 1728s

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ T=2\pi \sqrt{\frac{l}{g}},T’=2\pi \sqrt{\frac{98l}{100g}} $ $ \frac{T’}{T}=\sqrt{\frac{98}{100}}={{( 1-\frac{2}{100} )}^{\frac{1}{2}}}=( 1-\frac{1}{100} ) $ by binomial theorem. $ \frac{1}{100}=\frac{T-T’}{T}= $ Change in time per second Change per day = Change in 86400 s $ =\frac{86400\times 1}{100}=864s $