Question

The pendulum of a certain clock has time period $2.04s$. Fast or slow does the clock run during $24$ hours is

• A. 29 minutes slow
• B. 29 minutes fast
• C. 36 minutes slow
• D. 36 minutes fast

Answer 1

The correct option is A 29 minutes slow

$\therefore$ For 1 sec time taken is $\frac{T}{2}$
$=1.02$
$\Delta T=1.02-1$
=0.02

This difference is generated in 1 sec
$\therefore$ in $24hrs$
$=0.02\times 60\times 24min$
$=28.8min$
$\therefore 28.8\cong 29min$ slower than the original clock