A pendulum has a string of length $99.39$ cm. How much length of the pendulum must be shortened to keep the current time of the pendulum if it loses $4$ s a day?

0.0009

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.009

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

0.09

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.9

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $0.009$ cm
Time lost by pendulum per day = $4 s, d n = - 4 s$
Number of seconds in a day, $n = 24 \times 3600 s$

Let dl be the length by which the pendulum should be shortened to keep the correct time.

$\frac{d n}{n} = - \frac{d l}{2 l} \Rightarrow= \frac{- 4}{24 \times 3600} = \frac{- d l}{2 \times 99.39} \Rightarrow= 0.00920 c m$

Suggest Corrections

Similar questions

100 c m

1.4 s

c m

1.01 m

(g = 9.8 m / s^{2})

A pendulum swings through an angle of 30⁰ and describes an

arc 8.8cm in length. The length of the pendulum is

A pendulum swings through an angle of $30^{\circ}$ and describes an arc 8.8 cm in length. Find the length of pendulum in cm.

81 c m

3

100

121 c m

Join BYJU'S Learning Program