Kinematics Question 411

Question: A stone is dropped into a well in which the level of water is h below the top of the well. If v it’s velocity of sound, the time T after which the splash it’s heard it’s given by

Options:

A) $ T=2h/v $

B) $ \text{T=}\sqrt{( \frac{2h}{g} )\text{+}\frac{h}{v}} $

C) $ \text{T=}\sqrt{( \frac{2h}{g} )}\text{+}\frac{h}{g} $

D) $ \text{T=}\sqrt{( \frac{h}{2g} )}\text{+}\frac{2h}{v} $

Show Answer

Answer:

Correct Answer: B

Solution:

Time taken by the stone to reach the water level $ t _{1}=\sqrt{\frac{2h}{g}} $

Time taken by sound to come to the mouth of the well, $ t _{2}=\frac{h}{v} $
$ \therefore $

Total time $ t _{1}\text{+}{{t} _{2}}\text{=}\sqrt{\frac{2h}{g}}\text{+}\frac{h}{v} $



sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें