Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Solve! The metallic bob of a simple pendulum has the relative density P. The time period of this pendulum is T. If the metallic bob is immersed in water, then the new time period is given by

The metallic bob of a simple pendulum has the relative density P. The time period of this pendulum is T. If the metallic bob is immersed in water, then the new time period is given by

  • Option 1)

    T \frac{P-1}{P}

  • Option 2)

    T \frac{P}{P-1}

  • Option 3)

    T \sqrt{\frac{P-1}{P}}

  • Option 4)

    T \sqrt{}\frac{P}{P-1}

 

Answers (1)

best_answer

When the bob is immersered in water its effective weight 

\\*= \left[mg - \frac{m}{\rho}g \right ] = mg \left (\frac{\rho -1}{\rho} \right ) \\*\therefore g_{eff} = g\left (\frac{\rho -1}{\rho} \right ) \\* \frac{T'}{T} = \sqrt{\frac{g}{g_{eff}}} \Rightarrow T' =T\sqrt{\left (\frac{\rho -1}{\rho} \right )}

 

Time period of pendulum in a liquid -

T= 2\pi \sqrt{\frac{l}{g\left ( 1-\frac{\rho }{\sigma } \right )}}
 

- wherein

\rho = density of liquid

\sigma = density of  bob

l= length of pendulum.

 

 

 


Option 1)

T \frac{P-1}{P}

This is incorrect.

Option 2)

T \frac{P}{P-1}

This is incorrect.

Option 3)

T \sqrt{\frac{P-1}{P}}

This is incorrect.

Option 4)

T \sqrt{}\frac{P}{P-1}

This is correct.

Posted by

Plabita

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2024 session 2 final answer key soon at jeemain.nta.ac.in; result on April 25
anam-khan

JEE Main 2024 Session 2: Last day to challenge answer key today
anam-khan

BTech admission 2024 without JEE; top government engineering colleges, upcoming entrance exams

Latest Question