Question

The pendulum of a certain clock has time period 2.04 s. How fast or slow does the clock run during 24 hours?

• A. 28.8 minutes
• B. 28.8 hours
• C. 1728 minutes
• D. none of these

Answer 1

The correct option is A

28.8 minutes

The pendulum of the clock has time period 2.04 sec.

Now, number or oscillation in 1 day = $24\times \frac{3600}{2}=43200$

But, in each oscillation it is slower by (2.04 - 2.00) = 0.04 sec.

So, in one day it is slower by,

$=43200\times \left(0.04\right)=12sec=28.8min$

So, the clock runs 28.8 minutes slower in one day.