00. Magnet and Magnetic Dipole
Magnetism and Matter

154007 If mass is increased 4 times, then the time period of a magnetometer when suspended in earth's magnetic field becomes

1 double
2 quadruple
3 half
4 decreases 4 times
Magnetism and Matter

154008 Two identical magnetic dipoles of magnetic moment $2 \mathrm{Am}^{2}$ are placed at a separation of 2 $m$ with their axes perpendicular to each other in air. The resultant magnetic field at a mid point between to dipoles is

1 $4 \sqrt{5} \times 10^{-5} \mathrm{~T}$
2 $2 \sqrt{5} \times 10^{-5} \mathrm{~T}$
3 $4 \sqrt{5} \times 10^{-7} \mathrm{~T}$
4 $2 \sqrt{5} \times 10^{-7} \mathrm{~T}$
Magnetism and Matter

154009 If a magnet of pole strength $m$ is divided into four parts such that the length and width of each small part is half that of initial one, then the pole strength of each part will be

1 $\frac{m}{4}$
2 $\frac{m}{2}$
3 $\frac{m}{8}$
4 $4 \mathrm{~m}$
Magnetism and Matter

154010 Two identical bar magnets of magnetic moment $M$ each, are placed along $X$ and $Y$-axes, respectively at a distance $\mathrm{d}$ from the origin (as shown in the figure). The origin lies on perpendicular bisector of magnet placed on $\mathrm{X}$ axis and on the magnetic axis of magnet placed on Y-axis. If the magnitude of total magnetic field at the origin is $B=\alpha\left[\frac{\mu_{0} M}{4 \pi d^{3}}\right]$, then the value of constant $\alpha$ will be $(\mathrm{d}>>l$, where $l$ is the length of the bar magnets and direction of $\mathbf{N}$ to $\mathrm{S}$ in magnets is opposite with respect to each other)

1 2
2 1
3 3
4 $\sqrt{5}$
Magnetism and Matter

154007 If mass is increased 4 times, then the time period of a magnetometer when suspended in earth's magnetic field becomes

1 double
2 quadruple
3 half
4 decreases 4 times
Magnetism and Matter

154008 Two identical magnetic dipoles of magnetic moment $2 \mathrm{Am}^{2}$ are placed at a separation of 2 $m$ with their axes perpendicular to each other in air. The resultant magnetic field at a mid point between to dipoles is

1 $4 \sqrt{5} \times 10^{-5} \mathrm{~T}$
2 $2 \sqrt{5} \times 10^{-5} \mathrm{~T}$
3 $4 \sqrt{5} \times 10^{-7} \mathrm{~T}$
4 $2 \sqrt{5} \times 10^{-7} \mathrm{~T}$
Magnetism and Matter

154009 If a magnet of pole strength $m$ is divided into four parts such that the length and width of each small part is half that of initial one, then the pole strength of each part will be

1 $\frac{m}{4}$
2 $\frac{m}{2}$
3 $\frac{m}{8}$
4 $4 \mathrm{~m}$
Magnetism and Matter

154010 Two identical bar magnets of magnetic moment $M$ each, are placed along $X$ and $Y$-axes, respectively at a distance $\mathrm{d}$ from the origin (as shown in the figure). The origin lies on perpendicular bisector of magnet placed on $\mathrm{X}$ axis and on the magnetic axis of magnet placed on Y-axis. If the magnitude of total magnetic field at the origin is $B=\alpha\left[\frac{\mu_{0} M}{4 \pi d^{3}}\right]$, then the value of constant $\alpha$ will be $(\mathrm{d}>>l$, where $l$ is the length of the bar magnets and direction of $\mathbf{N}$ to $\mathrm{S}$ in magnets is opposite with respect to each other)

1 2
2 1
3 3
4 $\sqrt{5}$
Magnetism and Matter

154007 If mass is increased 4 times, then the time period of a magnetometer when suspended in earth's magnetic field becomes

1 double
2 quadruple
3 half
4 decreases 4 times
Magnetism and Matter

154008 Two identical magnetic dipoles of magnetic moment $2 \mathrm{Am}^{2}$ are placed at a separation of 2 $m$ with their axes perpendicular to each other in air. The resultant magnetic field at a mid point between to dipoles is

1 $4 \sqrt{5} \times 10^{-5} \mathrm{~T}$
2 $2 \sqrt{5} \times 10^{-5} \mathrm{~T}$
3 $4 \sqrt{5} \times 10^{-7} \mathrm{~T}$
4 $2 \sqrt{5} \times 10^{-7} \mathrm{~T}$
Magnetism and Matter

154009 If a magnet of pole strength $m$ is divided into four parts such that the length and width of each small part is half that of initial one, then the pole strength of each part will be

1 $\frac{m}{4}$
2 $\frac{m}{2}$
3 $\frac{m}{8}$
4 $4 \mathrm{~m}$
Magnetism and Matter

154010 Two identical bar magnets of magnetic moment $M$ each, are placed along $X$ and $Y$-axes, respectively at a distance $\mathrm{d}$ from the origin (as shown in the figure). The origin lies on perpendicular bisector of magnet placed on $\mathrm{X}$ axis and on the magnetic axis of magnet placed on Y-axis. If the magnitude of total magnetic field at the origin is $B=\alpha\left[\frac{\mu_{0} M}{4 \pi d^{3}}\right]$, then the value of constant $\alpha$ will be $(\mathrm{d}>>l$, where $l$ is the length of the bar magnets and direction of $\mathbf{N}$ to $\mathrm{S}$ in magnets is opposite with respect to each other)

1 2
2 1
3 3
4 $\sqrt{5}$
Magnetism and Matter

154007 If mass is increased 4 times, then the time period of a magnetometer when suspended in earth's magnetic field becomes

1 double
2 quadruple
3 half
4 decreases 4 times
Magnetism and Matter

154008 Two identical magnetic dipoles of magnetic moment $2 \mathrm{Am}^{2}$ are placed at a separation of 2 $m$ with their axes perpendicular to each other in air. The resultant magnetic field at a mid point between to dipoles is

1 $4 \sqrt{5} \times 10^{-5} \mathrm{~T}$
2 $2 \sqrt{5} \times 10^{-5} \mathrm{~T}$
3 $4 \sqrt{5} \times 10^{-7} \mathrm{~T}$
4 $2 \sqrt{5} \times 10^{-7} \mathrm{~T}$
Magnetism and Matter

154009 If a magnet of pole strength $m$ is divided into four parts such that the length and width of each small part is half that of initial one, then the pole strength of each part will be

1 $\frac{m}{4}$
2 $\frac{m}{2}$
3 $\frac{m}{8}$
4 $4 \mathrm{~m}$
Magnetism and Matter

154010 Two identical bar magnets of magnetic moment $M$ each, are placed along $X$ and $Y$-axes, respectively at a distance $\mathrm{d}$ from the origin (as shown in the figure). The origin lies on perpendicular bisector of magnet placed on $\mathrm{X}$ axis and on the magnetic axis of magnet placed on Y-axis. If the magnitude of total magnetic field at the origin is $B=\alpha\left[\frac{\mu_{0} M}{4 \pi d^{3}}\right]$, then the value of constant $\alpha$ will be $(\mathrm{d}>>l$, where $l$ is the length of the bar magnets and direction of $\mathbf{N}$ to $\mathrm{S}$ in magnets is opposite with respect to each other)

1 2
2 1
3 3
4 $\sqrt{5}$