1
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
$$-\operatorname{euB_0}(\hat{\boldsymbol{i}}-\hat{\boldsymbol{j}})$$
2
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
$$4 f_1=f_2$$
3
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

A compass needle oscillates 20 times per minute at a place where the dip is $$45^{\circ}$$ and the magnetic field is $$B_1$$. The same needle oscillates 30 times per minute at a place where the dip is $$30^{\circ}$$ and magnetic field is $$B_2$$. Then, $$B_1: B_2$$ is

A
$$9 \sqrt{3}: 4 \sqrt{2}$$
B
$$4 \sqrt{2}: 9 \sqrt{3}$$
C
$$3 \sqrt{3}: 2 \sqrt{2}$$
D
$$2 \sqrt{2}: 3 \sqrt{3}$$
4
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

A plane electromagnetic wave travels in free space along $$Z$$-axis. At a particular point in space, the electric field along $$X$$-axis is $$8.7 \mathrm{~Vm}^{-1}$$. The magnetic field along $$Y$$-axis is

A
$$2.9 \times 10^{-8} \mathrm{~T}$$
B
$$3 \times 10^{-6} \mathrm{~T}$$
C
$$8.7 \times 10^{-6} \mathrm{~T}$$
D
$$3 \times 10^{-5} \mathrm{~T}$$
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