1
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
2
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
3
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
$$-\operatorname{euB_0}(\hat{\boldsymbol{i}}-\hat{\boldsymbol{j}})$$
4
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two electrons, $$e_1$$ and $$e_2$$ of mass $$m$$ and charge $$q$$ are injected into the perpendicular direction of the magnetic field $$B$$ such that the kinetic energy of $$e_1$$ is double than that of $$e_2$$. The relation of their frequencies of rotation, $$f_1$$ and $$f_2$$ is

A
$$f_1=f_2$$
B
$$f_1=2 f_2$$
C
$$2 f_1=f_2$$
D
$$4 f_1=f_2$$
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