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Q.

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

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a

2

b

8

c

16

d

4

answer is C.

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Detailed Solution

$\begin{array}{l} T = 2 π \sqrt{I / {MB}_{H}} = 4 \sec \\ \Rightarrow T^{1} = 2 π \sqrt{\frac{I / 4}{\frac{M}{4} B_{H}}}; T^{1} = 4 \sec \end{array}$

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