1
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

An electron having kinetic energy of 100 eV circulates in a path of radius 10 cm in a magnetic field. The magnitude of magnetic field $$|\mathbf{B}|$$ is approximately [Mass of electron $$=0.5 \mathrm{~MeV} \mathrm{c}^{-2}$$, where c is the velocity of light].

A
$$3.3 \times 10^{-4} \mathrm{~T}$$
B
$$2.6 \times 10^{-4} \mathrm{~T}$$
C
$$1.70 \times 10^{-4} \mathrm{~T}$$
D
$$4.3 \times 10^{-4} \mathrm{~T}$$
2
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

A particle of mass $$2.2 \times 10^{-30} \mathrm{~kg}$$ and charge $$1.6 \times 10^{-19} \mathrm{C}$$ is moving at a speed of $$10 \mathrm{~km} \mathrm{~s}^{-1}$$ in a circular path of radius 2.8 cm inside a solenoid. The solenoid has $$25 \frac{\text { turns }}{\mathrm{cm}}$$ and its magnetic field is perpendicular to the plane of the particle's path. The current in the solenoid is

(Take, $$\mu_0=4 \pi \times 10^{-7} \mathrm{~Hm}^{-1}$$)

A
1.25 mA
B
10.20 mA
C
2.50 mA
D
1.56 mA
3
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

A toroid has a non ferromagnetic core of inner radius 24 cm and outer radius 25 cm , around which 4900 turns of a wire are wound. If the current in the wire is 12 A , the magnetic field inside the core of the toroid is

A
56 mT
B
54 mT
C
42 mT
D
48 mT
4
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two infinitely long wires each carrying the same current and pointing in $$+y$$ direction are placed in the $$x y$$-plane, at $$x=-2 \mathrm{~cm}$$ and $$x=1 \mathrm{~cm}$$. An electron is fired with speed $$u$$ from the origin making an angle of $$+45^{\circ}$$ from the $$X$$-axis. The force on the electron at the instant it is fired is

[$$B_0$$ is the magnitude of the field at origin due to the wire at $$x=1 \mathrm{~cm}$$ alone].

A
$$\frac{-e u B_0}{2 \sqrt{2}}(\hat{\boldsymbol{i}}-\hat{\boldsymbol{j}})$$
B
$$\frac{-e u B_0}{2}(\hat{\boldsymbol{i}}-\hat{\boldsymbol{j}})$$
C
$$\frac{-e u B_0}{\sqrt{2}}(\hat{\boldsymbol{i}}-\hat{\boldsymbol{j}})$$
D
$$-\operatorname{euB_0}(\hat{\boldsymbol{i}}-\hat{\boldsymbol{j}})$$
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