1
JEE Main 2026 (Online) 22nd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

$$ \text { Match the LIST-I with LIST-II } $$

List-I List-II
A. Spring constant I. M L 2 T 2 K 1 M L 2 T 2 K 1 ML^(2)T^(-2)K^(-1)
B. Thermal conductivity II. ML 0 T 2 ML 0 T 2 ML^(0)T^(-2)
C. Boltzmann constant III. M L 2 T 3 A 2 M L 2 T 3 A 2 ML^(2)T^(-3)A^(-2)
D. Inductive reactance IV. M L T 3 K 1 M L T 3 K 1 MLT^(-3)K^(-1)
Choose the correct answer from the options given below:
A

A-III, B-II, C-IV, D-I

B

A-I, B-IV, C-II, D-III

C

A-II, B-I, C-IV, D-III

D

A-II, B-IV, C-I, D-III

2
JEE Main 2026 (Online) 22nd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Given below are two statements :

Statement I : Pressure of a fluid is exerted only on a solid surface in contact as the fluid-pressure does not exist everywhere in a still fluid.

Statement II : Excess potential energy of the molecules on the surface of a liquid, when compared to interior, results in surface tension.

In the light of the above statements, choose the correct answer from the options given below

A

Statement I is false but Statement II is true

B

Statement I is true but Statement II is false

C

Both Statement I and Statement II are false

D

Both Statement I and Statement II are true

3
JEE Main 2026 (Online) 22nd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A solid sphere of mass 5 kg and radius 10 cm is kept in contact with another solid sphere of mass 10 kg and radius 20 cm . The moment of inertia of this pair of spheres about the tangent passing through the point of contact is $\_\_\_\_$ $\mathrm{kg} \cdot \mathrm{m}^2$.

A

0.18

B

0.72

C

0.36

D

0.63

4
JEE Main 2026 (Online) 22nd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A simple pendulum has a bob with mass $m$ and charge $q$. The pendulum string has negligible mass. When a uniform and horizontal electric field $\vec{E}$ is applied, the tension in the string changes. The final tension in the string, when pendulum attains an equilibrium position is $\_\_\_\_$ .

A

$m g-q E$

B

$\sqrt{m^2 g^2+q^2 E^2}$

C

$m \mathrm{~g}+q E$

D

$\sqrt{m^2 g^2-q^2 E^2}$

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