1
WB JEE 2024
MCQ (More than One Correct Answer)
+2
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WB JEE 2024 Physics - Center of Mass Question 2 English

A uniform rod $$\mathrm{AB}$$ of length $$1 \mathrm{~m}$$ and mass $$4 \mathrm{~kg}$$ is sliding along two mutually perpendicular frictionless walls OX and OY. The velocity of the two ends of the $$\operatorname{rod} \mathrm{A}$$ and $$\mathrm{B}$$ are $$3 \mathrm{~m} / \mathrm{s}$$ and $$4 \mathrm{~m} / \mathrm{s}$$ respectively, as shown in the figure. Then which of the following statement(s) is/are correct?

A
The velocity of the centre of mass of the rod is $$2.5 \mathrm{~m} / \mathrm{s}$$.
B
Rotational kinetic energy of the rod is $$\frac{25}{6}$$ joule.
C
The angular velocity of the rod is $$5 \mathrm{~rad} / \mathrm{s}$$ clockwise.
D
The angular velocity of the rod is $$5 \mathrm{~rad} / \mathrm{s}$$ anticlockwise.
2
WB JEE 2024
MCQ (More than One Correct Answer)
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WB JEE 2024 Physics - Alternating Current Question 1 English

The variation of impedance $$\mathrm{Z}$$ of a series $$\mathrm{L C R}$$ circuit with frequency of the source is shown in the figure. Which of the following statement(s) is/are true ?

A
The impedance $$\mathrm{Z}$$ is inductive in the portion $$\mathrm{AC}$$
B
The impedance $$\mathrm{Z}$$ is capacitive in the portion $$\mathrm{BC}$$
C
The impedance $$\mathrm{Z}$$ is inductive in the portion $$\mathrm{BC}$$
D
The impedance $$\mathrm{Z}$$ is capacitive in the portion $$\mathrm{AC}$$
3
WB JEE 2024
MCQ (More than One Correct Answer)
+2
-0
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The electric field of a plane electromagnetic wave in a medium is given by

$$ \overrightarrow{\mathrm{E}}(x, y, z, t)=\mathrm{E}_0 \hat{\mathrm{n}} \mathrm{e}^{i k_o[(x+y+z)-c t]} $$

where $$\mathrm{c}$$ is the speed of light in free space. $$\overrightarrow{\mathrm{E}}$$ field is polarized in the $$x-\mathrm{z}$$ plane. The speed of wave is $$v$$ in the medium. Then

A
$$\hat{\mathrm{n}}=\hat{\mathrm{i}}-\hat{\mathrm{k}} ; v=\mathrm{c}$$.
B
$$\hat{\mathrm{n}}=\frac{\hat{\mathrm{i}}-\hat{\mathrm{k}}}{\sqrt{2}} ; v=\frac{\mathrm{c}}{\sqrt{3}}$$.
C
refractive index of the medium is $$\sqrt{3}$$.
D
$$\hat{\mathrm{n}}=\frac{\hat{\mathrm{i}}+\hat{\mathrm{k}}}{\sqrt{2}} ; v=\frac{\mathrm{c}}{\sqrt{2}}$$.
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