The Length of magnet is large compared to width and breadth . The time period of its oscillation in a vibration magnetometer is 2s . The magnet is cut along its length into three equal parts and three parts are then placed on each other with their like poles together .The time period of this combination will be [AIEEE 2004]
Answers
Answer:
The time period of this combination will be 2/3s
Explanation:
The time period of oscillation of magnet
T = 2π√(L/MH)__________(1)
Where , I = moment of inertia of magnet
= mL²/12 [m, being the mass of magnet ]
M = pole strength ×L
and H = horizantal component of the earth's magnetic field .
When the three equal parts of magnet are placed on one another with their like poles together ,then
I' = 1/12(m/3)× (L/3)² × 3 = 1/12ML²/9 = I/9
and M' = pole strength ×L/3 ×3 = M
Hence, T' = 2π √(I/9/MH ) or T' = 1/3T
or, T' = 2/3s Answer
Explanation:
Answer:
The time period of this combination will be 2/3s
Explanation:
The time period of oscillation of magnet
T = 2π√(L/MH)__________(1)
Where , I = moment of inertia of magnet
= mL²/12 [m, being the mass of magnet ]
M = pole strength ×L
and H = horizantal component of the earth's magnetic field .
When the three equal parts of magnet are placed on one another with their like poles together ,then
I' = 1/12(m/3)× (L/3)² × 3 = 1/12ML²/9 = I/9
and M' = pole strength ×L/3 ×3 = M
Hence, T' = 2π √(I/9/MH ) or T' = 1/3T
or, T' = 2/3s Answer