1
JEE Main 2024 (Online) 6th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Match List I with List II

LIST I LIST II
A. Torque I. $$
\left[M^1 L^1 T^{-2} A^{-2}\right]
$$
B. Magnetic field II. $$
\left[L^2 A^1\right]
$$
C. Magnetic moment III. $$
\left[M^1 T^{-2} A^{-1}\right]
$$
D. Permeability of free space IV. $$
\left[M^1 L^2 T^{-2}\right]
$$

Choose the correct answer from the options given below:

A
A-I, B-III, C-II, D-IV
B
A-IV, B-II, C-III, D-I
C
A-III, B-I, C-II, D-IV
D
A-IV, B-III, C-II, D-I
2
JEE Main 2024 (Online) 6th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

While measuring diameter of wire using screw gauge the following readings were noted. Main scale reading is $$1 \mathrm{~mm}$$ and circular scale reading is equal to 42 divisions. Pitch of screw gauge is $$1 \mathrm{~mm}$$ and it has 100 divisions on circular scale. The diameter of the wire is $$\frac{x}{50} \mathrm{~mm}$$. The value of $$x$$ is :

A
42
B
71
C
21
D
142
3
JEE Main 2024 (Online) 5th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

What is the dimensional formula of $$a b^{-1}$$ in the equation $$\left(\mathrm{P}+\frac{\mathrm{a}}{\mathrm{V}^2}\right)(\mathrm{V}-\mathrm{b})=\mathrm{RT}$$, where letters have their usual meaning.

A
$$[\mathrm{M}^6 \mathrm{~L}^7 \mathrm{~T}^4]$$
B
$$[\mathrm{M}^{-1} \mathrm{~L}^5 \mathrm{~T}^3]$$
C
$$[\mathrm{M}^0 \mathrm{~L}^3 \mathrm{~T}^{-2}]$$
D
$$[\mathrm{ML}^2 \mathrm{~T}^{-2}]$$
4
JEE Main 2024 (Online) 5th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A vernier callipers has 20 divisions on the vernier scale, which coincides with $$1^{\text {th }}$$ division on the main scale. The least count of the instrument is $$0.1 \mathrm{~mm}$$. One main scale division is equal to ________ mm.

A
5
B
2
C
1
D
0.5
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