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) 21st January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A spherical body of radius $r$ and density $\sigma$ falls freely through a viscous liquid having density $\rho$ and viscosity $\eta$ and attains a terminal velocity $v_0$. Estimated maximum error in the quantity $\eta$ is : (Ignore errors associated with $\sigma$, $\rho$ and $g$, gravitational acceleration)

A

$2 \left[ \frac{\Delta r}{r} - \frac{\Delta v_0}{v_0} \right]$

B

$2 \left[ \frac{\Delta r}{r} + \frac{\Delta v_0}{v_0} \right]$

C

$\frac{2 \Delta r}{r} + \frac{\Delta v_0}{v_0}$

D

$2 \frac{\Delta r}{r} - \frac{\Delta v_0}{v_0}$

3
JEE Main 2026 (Online) 21st January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Keeping the significant figures in view, the sum of the physical quantities 52.01 m, 153.2 m and 0.123 m is :

A

205.3 m

B

205 m

C

205.333 m

D

205.33 m

4
JEE Main 2026 (Online) 21st January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

In an experiment the values of two spring constants were measured as $k_1=(10 \pm 0.2) \mathrm{N} / \mathrm{m}$ and $k_2=(20 \pm 0.3) \mathrm{N} / \mathrm{m}$. If these springs are connected in parallel, then the percentage error in equivalent spring constant is :

A

1.33%

B

$2.67 \%$

C

1.67%

D

$2.33 \%$

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