JEE PYQ: Oscillations Question 36
Question 36 - 2019 (10 Jan 2019 Shift 2)
A cylindrical plastic bottle of negligible mass is filled with 310 ml of water and left floating in a pond with still water. If pressed downward slightly and released, it starts performing simple harmonic motion at angular frequency $\omega$. If the radius of the bottle is 2.5 cm then $\omega$ is close to: (density of water $= 10^3$ kg/m$^3$)
(1) 3.75 rad s$^{-1}$
(2) 7.95 rad s$^{-1}$
(3) 2.50 rad s$^{-1}$
(4) 5.00 rad s$^{-1}$
Show Answer
Answer: (2)
Solution
$\omega = \sqrt{\frac{\pi r^2 \rho g}{m}} = 7.95$ rad/s.
BETA
