1
JEE Main 2023 (Online) 12th April Morning Shift
+4
-1

Match List I with List II

LIST I LIST II
A. Spring constant I. $$\mathrm{[T^{-1}]}$$
B. Angular speed II. $$\mathrm{[MT^{-2}]}$$
C. Angular momentum III. $$\mathrm{[ML^2]}$$
D. Moment of inertia IV. $$\mathrm{[ML^2T^{-1}]}$$

Choose the correct answer from the options given below:

A
A-IV, B-I, C-III, D-II
B
A-II, B-III, C-I, D-IV
C
A-II, B-I, C-IV, D-III
D
A-I, B-III, C-II, D-IV
2
JEE Main 2023 (Online) 11th April Evening Shift
+4
-1

If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be :

A
$$\mathrm{FV}^{-2} \mathrm{~T}^{2}$$
B
$$\mathrm{FV}^{4} \mathrm{~T}^{-6}$$
C
$$\mathrm{F}^{2} \mathrm{~V}^{-2} \mathrm{~T}^{6}$$
D
$$\mathrm{FV}^{-4} \mathrm{~T}^{-2}$$
3
JEE Main 2023 (Online) 11th April Morning Shift
+4
-1

Given below are two statements :

Statements I : Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical distances.

Statements II : $$\mathrm{Au} < \mathrm{Parsec} (\mathrm{Pc}) < \mathrm{ly}$$

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

A
Both Statements I and Statements II are incorrect.
B
Both Statements I and Statements II are correct,
C
Statements I is incorrect but Statements II is correct.
D
Statements I is correct but Statements II is incorrect.
4
JEE Main 2023 (Online) 10th April Evening Shift
+4
-1

In an experiment with vernier callipers of least count $$0.1 \mathrm{~mm}$$, when two jaws are joined together the zero of vernier scale lies right to the zero of the main scale and 6th division of vernier scale coincides with the main scale division. While measuring the diameter of a spherical bob, the zero of vernier scale lies in between $$3.2 \mathrm{~cm}$$ and $$3.3 \mathrm{~cm}$$ marks, and 4th division of vernier scale coincides with the main scale division. The diameter of bob is measured as

A
$$3 .18 \mathrm{~cm}$$
B
$$3.22 \mathrm{~cm}$$
C
$$3.26 \mathrm{~cm}$$
D
$$3.25 \mathrm{~cm}$$
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