Question

Find the time period of a cube of side length 10 cm and mass 10 g oscillating in water. (density of water = \(10^3 \ kg/m^3\) and g = \(10\ m/s^2\))

(1) \(\frac{\pi}{25}\text{second}\)

(2) \(\frac{\pi}{50}\text{second}\)

(3) \(\frac{\pi}{100}\text{second}\)

(4) \(\frac{2\pi}{25}\text{second}\)

Answer 1

Correct option is : (2) \(\frac{\pi}{50}\text{second}\) 

\(\Rightarrow\ \omega = 100\ rad / s\)

\(T = \frac{2\pi}{\omega} = \frac{\pi}{50}s\)