1
JEE Main 2023 (Online) 31st January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Match List I with List II

LIST I LIST II
A. Angular momentum I. $\left[\mathrm{ML}^{2} \mathrm{~T}^{-2}\right]$
B. Torque II. $\left[\mathrm{ML}^{-2} \mathrm{~T}^{-2}\right]$
C. Stress III $\left[\mathrm{ML}^{2} \mathrm{~T}^{-1}\right]$
D. Pressure gradient IV. $\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}\right]$

Choose the correct answer from the options given below:
A
A - I, B - IV, C - III, D - II
B
A - III, B - I, C - IV, D - II
C
A - IV, B - II, C - I, D - III
D
A - II, B - III, C - IV, D - I
2
JEE Main 2023 (Online) 31st January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Under the same load, wire A having length $5.0 \mathrm{~m}$ and cross section $2.5 \times 10^{-5} \mathrm{~m}^{2}$ stretches uniformly by the same amount as another wire B of length $6.0 \mathrm{~m}$ and a cross section of $3.0 \times 10^{-5}$ $\mathrm{m}^{2}$ stretches. The ratio of the Young's modulus of wire A to that of wire $B$ will be :
A
$1: 2$
B
$1: 4$
C
$1: 1$
D
$1: 10$
3
JEE Main 2023 (Online) 31st January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
An alternating voltage source $\mathrm{V}=260 \sin (628 \mathrm{t}$ ) is connected across a pure inductor of $5 \mathrm{mH}$ Inductive reactance in the circuit is :
A
$6.28 \Omega$
B
$0.318 \Omega$
C
$0.5 \Omega$
D
$3.14 \Omega$
4
JEE Main 2023 (Online) 31st January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A stone of mass $1 \mathrm{~kg}$ is tied to end of a massless string of length $1 \mathrm{~m}$. If the breaking tension of the string is $400 \mathrm{~N}$, then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is :
A
$20 \mathrm{~ms}^{-1}$
B
$40 \mathrm{~ms}^{-1}$
C
$400 \mathrm{~ms}^{-1}$
D
$10 \mathrm{~ms}^{-1}$
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