Question

(b) The length of seconds pendulum dec by 2% so it looses …………………… sec per day.

​

Answer 1

Answer:

864 s

Explanation:

As we know, T = 2π$\sqrt{ \frac{l}{g} }$

∴ T ∝ √L

∴ $\frac{dT}{T} * 100 = \frac{1}{2} (\frac{dL}{L} * 100 )$

⇒ $\frac{dT}{T} = \frac{1}{2} (\frac{dL}{L})$

Let initial length be x,

⇒ $\frac{dT}{T} = \frac{1}{2} (\frac{\frac{2x}{100} }{x})$

⇒ $\frac{dT}{T} = 0.01$

⇒ ΔT = 0.01(T)

(ΔT = dT)

∴ Loss of time per day = 0.01 × 24 × 60 × 60 = 864 s

Hoping that I have not made any mistakes, You're welcome.

Hope you have found my answer useful. If my answer deserves a brainliest, do mark it.

GeniusH