1
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Current density in a cylindrical wire of radius $$R$$ varies with radial distance as $$\beta\left(r+r_0\right)^2$$. The current through the section of the wire shown in the figure is

AP EAPCET 2022 - 4th July Morning Shift Physics - Current Electricity Question 5 English

A
$$\pi \beta\left[\frac{R^4}{12}+\frac{r_0^2 R^2}{6}+\frac{2 r_0 R^3}{9}\right]$$
B
$$\pi \beta\left[\frac{R^4}{6}+\frac{r_0^2 R^2}{12}+\frac{r_0 R^3}{9}\right]$$
C
$$\pi \beta\left[\frac{R^4}{12}+\frac{r_0^2 R^2}{12}+\frac{r_0 R^3}{9}\right]$$
D
$$\pi \beta\left[\frac{R^4}{8}+\frac{r_0^2 R^2}{6}+\frac{r_0 R^3}{12}\right]$$
2
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

A cell can supply currents of 1 A and 0.5 A via resistances of $$2.5 \Omega$$ and $$10 \Omega$$, respectively. The internal resistance of the cell is

A
$$2 \Omega$$
B
$$3 \Omega$$
C
$$4 \Omega$$
D
$$5 \Omega$$
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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