If the length of the pendulum in pendulum clock increases by 0 . 1 % , then the error in time per day is:

Open MARKS Web Download App

Search any question & find its solution

Question: Answered & Verified by Expert

If the length of the pendulum in pendulum clock increases by

0.1 %

, then the error in time per day is:

PhysicsMathematics in PhysicsJEE MainJEE Main 2021 (26 Aug Shift 2)

Options:

A $43.2 s$
B $8.64 s$
C $86.4 s$
D $4.32 s$

Solution:

1678 Upvotes Verified Answer

The correct answer is:

43.2 s

$T = 2 π \sqrt{\frac{l}{g}}$

$T \propto l^{\frac{1}{2}}$

$\frac{Δ T}{T} = \frac{1}{2} \frac{Δ l}{l}$

$\frac{Δ T}{24 \times 3600} = \frac{1}{2} \times \frac{0.1}{100}$

$Δ T = \frac{1}{2} \times \frac{0.1}{100} \times 24 \times 3600$

$Δ T = 43.2 s$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.

Use on iOS or Desktop Download from Google Play