The mid points of two small magnetic dipoles of length d in end-on positions, are separated by a distance $x$ , $(x >> d)$ . The force between them is proportional to $x^{- n}$ where $n$ is :

1

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Solution

The correct option is D $4$
Magnetic field due to dipole, $B \propto \frac{1}{x^{3}}$
The interaction energy of two dipole is $U = - m \cdot B, U \propto x^{- 3}$
The force between them, $F = - \frac{d U}{d x}, F \propto x^{- 4}$

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The mid points of two small magnetic dipoles of length d in end-on positions, are separated by a distance x, (x>>d). The force between them is proportional to x−n where n is :

The correct option is D 4Magnetic field due to dipole, B∝1x3The interaction energy of two dipole is U=−m⋅B,U∝x−3The force between them, F=−dUdx,F∝x−4

The mid points of two small magnetic dipoles of length d in end-on positions, are separated by a distance $x$ , $(x >> d)$ . The force between them is proportional to $x^{- n}$ where $n$ is :

The correct option is D $4$
Magnetic field due to dipole, $B \propto \frac{1}{x^{3}}$
The interaction energy of two dipole is $U = - m \cdot B, U \propto x^{- 3}$
The force between them, $F = - \frac{d U}{d x}, F \propto x^{- 4}$