+91-8076753736 support@wiredfaculty.com
logo
logo

Sponsor Area

Mechanical Properties Of Fluids

Question
CBSEENPH11018768
Wired Faculty App

For a travelling harmonic wave y(x,t) = 2.0 cos [2straight pi (10t – 0.008x + 0.35)] what is the phase difference between oscillatory motion at two points separated by a distance of
(i) 4m (ii) 0.5m (iii) λ/2?
Here x and y are in cm and t in seconds?

Solution
The given travelling wave is, 
      space straight y left parenthesis straight x comma space straight t right parenthesis space equals space 2.0 space cos open square brackets 2 straight pi left parenthesis 10 straight t minus 0.008 straight x plus 0.35 right parenthesis close square brackets space space space space space space space space space space space space space equals 2.0 space cos open square brackets 20 πt minus 0.016 πx plus 0.7 straight pi close square brackets  
On comparing with general wave equation, 
straight y left parenthesis straight x comma space straight t right parenthesis space space equals space straight A space sin left parenthesis ωt minus kx plus straight ϕ right parenthesis comma we space get comma 
        straight k equals 0.016 straight pi space cm to the power of negative 1 end exponent space equals space 1.6 πm to the power of negative 1 end exponent 
We know the phase different between two points separated by distance space Δx is, 
             increment straight ϕ equals straight k increment straight x 
(i) Distance of seperation, <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre> 
              increment straight ϕ space equals space left parenthesis 1.6 straight pi right parenthesis 4 space equals space 6.4 straight pi space rad 
(ii) Distance of seperation, increment straight x space equals space 0.5 straight m         

              increment straight x equals straight lambda divided by 2 
           <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre> 

Some More Questions From Mechanical Properties of Fluids Chapter

How sound is produced?

Can sound travel in vacuum?

Can two persons hear each other on the moon? Explain.

Can electromagnetic wave propagate in vacuum?

Can we listen in vacuum?

Which of the two moves forward during wave motion - particle or disturbance?

What type of wave is sound wave when it travels in air?

What type of wave is sound wave when it travels in solids?

Which of the two - sound or light is longitudinal in nature?

In what form the sound travels in air?

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation