1
JEE Main 2023 (Online) 25th January Morning Shift
+4
-1

A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2 m long and 0.2 m in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A flows through it is :

A
$$\mathrm{1~A~m^{-1}}$$
B
$$\mathrm{2.4\times10^{-3}~A~m^{-1}}$$
C
$$\mathrm{1.2\times10^{3}~A~m^{-1}}$$
D
$$\mathrm{2.4\times10^{3}~A~m^{-1}}$$
2
JEE Main 2022 (Online) 29th July Evening Shift
+4
-1
Out of Syllabus

The vertical component of the earth's magnetic field is $$6 \times 10^{-5} \mathrm{~T}$$ at any place where the angle of dip is $$37^{\circ}$$. The earth's resultant magnetic field at that place will be $$\left(\right.$$Given $$\left.\tan 37^{\circ}=\frac{3}{4}\right)$$

A
$$8 \times 10^{-5} \mathrm{~T}$$
B
$$6 \times 10^{-5} \mathrm{~T}$$
C
$$5 \times 10^{-4} \mathrm{~T}$$
D
$$1 \times 10^{-4} \mathrm{~T}$$
3
JEE Main 2022 (Online) 27th July Evening Shift
+4
-1
Out of Syllabus

A compass needle of oscillation magnetometer oscillates 20 times per minute at a place $$\mathrm{P}$$ of $$\operatorname{dip} 30^{\circ}$$. The number of oscillations per minute become 10 at another place $$\mathrm{Q}$$ of $$60^{\circ}$$ dip. The ratio of the total magnetic field at the two places $$\left(B_{Q}: B_{P}\right)$$ is :

A
$$\sqrt{3}: 4$$
B
$$4: \sqrt{3}$$
C
$$\sqrt{3}: 2$$
D
$$2: \sqrt{3}$$
4
JEE Main 2022 (Online) 27th July Morning Shift
+4
-1
Out of Syllabus

Two bar magnets oscillate in a horizontal plane in earth's magnetic field with time periods of $$3 \mathrm{~s}$$ and $$4 \mathrm{~s}$$ respectively. If their moments of inertia are in the ratio of $$3: 2$$, then the ratio of their magnetic moments will be:

A
2 : 1
B
8 : 3
C
1 : 3
D
27 : 16
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