With a standard rectangular bar magnet,the ti | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The time period of a vibration magnetometer is given by $T = 2 \pi \sqrt{\frac{I}{MB}}$.When a bar magnet is cut parallel to its length into $4$ e

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(C) The time period of a vibration magnetometer is given by $T = 2 \pi \sqrt{\frac{I}{MB}}$.When a bar magnet is cut parallel to its length into $4$ equal pieces,the mass of each piece becomes $m' = \frac{m}{4}$.The magnetic moment of each piece becomes $M' = \frac{M}{4}$.The moment of inertia of each piece about the axis of rotation becomes $I' = \frac{I}{4}$.Substituting these into the formula for the new time period $T'$:$T' = 2 \pi \sqrt{\frac{I'}{M'B}} = 2 \pi \sqrt{\frac{I/4}{(M/4)B}} = 2 \pi \sqrt{\frac{I}{MB}}$.Thus,$T' = T = 4 ~s$.

With a standard rectangular bar magnet,the time period of a vibration magnetometer is $4 ~s$. The bar magnet is cut parallel to its length into four equal pieces. The time period of the vibration magnetometer when one piece is used (in seconds) (bar magnet breadth is small) is

Similar Questions

Needles $N_1, N_2$ and $N_3$ are made of a ferromagnetic,a paramagnetic and a diamagnetic substance respectively. $A$ magnet when brought close to them will

$A$ certain radioactive substance reduces to $25\%$ of its initial value in $16$ days. Its half-life is ........ $days$.

Consider a titration of potassium dichromate solution with acidified Mohr's salt solution using diphenylamine as an indicator. The number of moles of Mohr's salt required per mole of dichromate is

Two cells $A$ and $B$ are connected in the secondary circuit of a potentiometer one at a time,and the balancing lengths are $400 \ cm$ and $440 \ cm$ respectively. The emf of cell $A$ is $1.08 \ V$. The emf of the second cell $B$ in volts is:

Which of the following biomolecules acts as specific catalysts in biological reactions?

Vedclass Test Series

Exam Paper Generator

Online Exam Module