A thin rectangular magnet suspended freely has a period of oscillation equal to `T`. Now it is broken into two equal halves (each having half of the original length) and one piece is made to oscillate freely in the same field. If its period of oscillation is `T^(')`, then ratio `T^(')/T` is
Text Solution
AI Generated Solution
To solve the problem, we need to analyze the changes in the time period of oscillation when a rectangular magnet is cut in half. The time period of a magnet oscillating in a magnetic field can be expressed using the formula:
\[
T = 2\pi \sqrt{\frac{I}{mB}}
\]
where:
- \( T \) is the time period of oscillation,
...
Topper's Solved these Questions
MAGNETISM AND MATTER
DC PANDEY ENGLISH|Exercise 5.1|15 Videos
MAGNETISM AND MATTER
DC PANDEY ENGLISH|Exercise 5.2|15 Videos
MAGNETICS
DC PANDEY ENGLISH|Exercise MCQ_TYPE|1 Videos
MODERN PHYSICS
DC PANDEY ENGLISH|Exercise Integer Type Questions|17 Videos
Similar Questions
Explore conceptually related problems
A spring has a certain mass suspended from it and its period for vertical oscillations is T_(1) . The spring is now cut into two equal halves and the same mass is suspended from one of the half. The period of vertical oscillation is now T_(2) . The ratio of T_(2)//T_(1) is
A uniform spring has a centain block suspended from it and its period for vertical oscillation is T_(1) . The spring is now cut into two parts of lengths (1)/(3) rd and (2)/(3) rd of original length and these springs are connected to the same block as shown in the figure. If time period of oscillation now is T_(2) " then " T_(1)//T_(2) .
One mass m is suspended from a spring. Time period of oscilation is T. now if spring is divided into n pieces & these are joined in parallel order then time period of oscillation if same mass is suspended.
If the same weight is suspended from three springs having length in the ratio 1 : 3 : 5 , the period of oscillations shall be the ratio of
A block of mass M suspended from a spring oscillates with time period T . If spring is cut in to two equal parts and same mass M is suspended from one part, new period os oscillation is
A block of mass M suspended from a spring oscillates with time period T . If spring is cut in to two equal parts and same mass M is suspended from one part, new period os oscillation is
A thin magnetic needle oscillates in a horizontal plane with a period T. It is broken into n equals parts. The time period of each part will be
An object suspended from a spring exhibits oscillations of period T. Now the spring is cut in two halves and the same object is suspended with two halves as shown in figure. The new time period of oscillation will become
A pendulum is suspended in a ligt and its period of oscillation when the lift is stationary is T_(a) . What must be the accleraion of the lift for the period of oscillation of the pendulum to be T_(0)//2 ?
In a simple pendulum the period of oscillation (T) is related to the length of the pendulum (L) as
DC PANDEY ENGLISH-MAGNETISM AND MATTER-Medical gallery
