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Magnets

Consider the ...

Question

Consider the situation of the previous problem. The directions of the magnetic field due to the dipole are opposite at

(a) P₁ and P₂
(b) Q₁ and Q₂
(c) P₁ and Q₁
(d) P₂ and Q₂

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Solution

(c) P₁ and Q₁
(d) P₂ and Q₂

We know that magnetic field lines are directed from the north pole to the south pole. From the given figure, we can say that the direction of the magnetic field $\underset{B}{\to}$ is opposite at points P₁ and Q₁ and at points P₂ and Q₂.

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Q. Consider a magnetic dipole kept in the north to south direction. Let P₁, P₂, Q₁, Q₂ be four points at the same distance from the dipole towards north, south, east and west of the dipole respectively. The directions of the magnetic field due to the dipole are the same at

(a) P₁ and P₂
(b) Q₁ and Q₂
(c) P₁ and Q₁
(d) P₂ and Q₂

Q. Consider a magnetic dipole kept in the north-south direction. Let

P_{1}, P_{2}, Q_{1}

Q_{2}

be four points at the same distance from the dipole towards north, south, east and west of the dipole respectively. The directions of the magnetic field due to the dipole are the same at

Q. Consider the situation shown in figure (38.E17). The wires

P_{1} Q_{1}

P_{2} Q_{2}

are made to slide on the rails with the same speed

5 c m^{- 1}

. Find the electric current in the

19 Ω

resistor if(a) both the wire move towards right and (b) if

P_{1} Q_{1}

moves towards left but

P_{2} Q_{2}

moves towords right.

Q. Two small dipoles of dipole moment

P_{1}

P_{2}

are placed as shown in figure.

k = \frac{1}{4 π ϵ_{o}}

Q. Consider the following events:

E_{1} :

Six fair dice are rolled and at least one die shows six.

E_{2} :

Twelve fair dice are rolled and at least two dice show six.
Let

p_{1}

be the probability of

E_{1}

p_{2}

be the probability of

E_{2} .

Which of the following is true?

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