Time Period of Torsional pendulum case - (Formula)

T=2\pi \sqrt{\frac{I}{K}}

I= moment of inertia

K= torsional constant

  • Exam
  •  
  • Questions

Question

In a pendulum bar magnet is osciallating in the magnetic field with time period  'T' if its mass is increased by four times then its time period will be

 Your Option is correct !!

A.

4T

B.

2T

C.

T

D.

\frac{T}{}2

Answers (1)

By changing only the mass of the bar magnet we only change the moment of inertia and not the torsional constant as that depends on the magnetization of the magnet and the magnetic field

Moment of inertia of rod of mass M and length L = I1 =\frac{ML^{2}}{12}

Time period of rod of mass M and length L = T = 2\pi \sqrt{\frac{I_{1}}{k}}

Moment of inertia of rod of mass 4M and length L= I2 = \frac{4ML^{2}}{12}=\frac{ML^{2}}{3} = 4I1

Time period of rod of mass M and length L = T'

\\T'=2\pi \sqrt{\frac{I_{2}}{k}}\\ T'=2\pi \sqrt{\frac{4I_{1}}{k}}\\ T'=4\pi \sqrt{\frac{I_{1}}{k}}\\ T'=2T

The new time period will be 2T.

Most Viewed Questions

Preparation Products

JEE Foundation + Knockout JEE Main 2024 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
Knockout VITEEE 2022

An exhaustive program for the complete preparation of Physics Chemistry Mathematics English and Aptitude of VITEEE, Adaptive Time Table, Chapterwise Questions, Concepts Flashcards for Quick and Effective Revision, Unlimited Chapter wise Subject wise and Full mock test for enhancing Speed & Accuracy,.

₹ 2999/- ₹ 1999/-
Buy Now
Knockout BITSAT 2022

An exhaustive program for the complete preparation of Physics Chemistry Mathematics English & Logical Reasoning of BITSAT exam, Adaptive Time Table, Chapterwise Questions, Concepts Flashcards for Quick and Effective Revision, Unlimited Chapter wise Subject wise and Full mock test for enhancing Speed & Accuracy,.

₹ 2999/- ₹ 1999/-
Buy Now
Engineering Prep Combo

An exhaustive e-learning program to boost your preparation for the leading engineering entrance exams like:-, BITSAT, VITEEE, MET, SRMJEEE, AEEE, MHT CET, AP EAPCET, TS EAMCET, Unlimited Mock Test for each exam..

₹ 9999/- ₹ 2999/-
Buy Now
Knockout MHT CET 2022

An exhaustive program for the complete preparation of Physics Chemistry and Mathematics of MHT-CET exam, Adaptive Time Table, Chapterwise Questions, Concepts Flashcards for Quick and Effective Revision, Unlimited Chapter wise Subject wise and Full mock test for enhancing Speed & Accuracy,.

₹ 2999/- ₹ 1999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions