1
JEE Main 2024 (Online) 27th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Position of an ant ($$\mathrm{S}$$ in metres) moving in $$\mathrm{Y}$$-$$\mathrm{Z}$$ plane is given by $$S=2 t^2 \hat{j}+5 \hat{k}$$ (where $$t$$ is in second). The magnitude and direction of velocity of the ant at $$\mathrm{t}=1 \mathrm{~s}$$ will be :

A
$$16 \mathrm{~m} / \mathrm{s}$$ in $$y$$-direction
B
$$4 \mathrm{~m} / \mathrm{s}$$ in $$x$$-direction
C
$$9 \mathrm{~m} / \mathrm{s}$$ in $$\mathrm{z}$$-direction
D
$$4 \mathrm{~m} / \mathrm{s}$$ in $$y$$-direction
2
JEE Main 2024 (Online) 27th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Given below are two statements :

Statement (I) :Viscosity of gases is greater than that of liquids.

Statement (II) : Surface tension of a liquid decreases due to the presence of insoluble impurities.

In the light of the above statements, choose the most appropriate answer from the options given below :

A
Statement I is correct but statement II is incorrect
B
Statement I is incorrect but Statement II is correct
C
Both Statement I and Statement II are incorrect
D
Both Statement I and Statement II are correct
3
JEE Main 2024 (Online) 27th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If the refractive index of the material of a prism is $$\cot \left(\frac{A}{2}\right)$$, where $$A$$ is the angle of prism then the angle of minimum deviation will be

A
$$\pi-2 \mathrm{~A}$$
B
$$\frac{\pi}{2}-2 \mathrm{~A}$$
C
$$\pi-\mathrm{A}$$
D
$$\frac{\pi}{2}-\mathrm{A}$$
4
JEE Main 2024 (Online) 27th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A proton moving with a constant velocity passes through a region of space without any change in its velocity. If $$\overrightarrow{\mathrm{E}}$$ and $$\overrightarrow{\mathrm{B}}$$ represent the electric and magnetic fields respectively, then the region of space may have :

(A) $$\mathrm{E}=0, \mathrm{~B}=0$$

(B) $$\mathrm{E}=0, \mathrm{~B} \neq 0$$

(C) $$\mathrm{E} \neq 0, \mathrm{~B}=0$$

(D) $$\mathrm{E} \neq 0, \mathrm{~B} \neq 0$$

Choose the most appropriate answer from the options given below :

A
(A), (B) and (C) only
B
(A), (C) and (D) only
C
(A), (B) and (D) only
D
(B), (C) and (D) only
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