1
JEE Main 2023 (Online) 10th April Evening Shift
MCQ (Single Correct Answer)
+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
$$3.25 \mathrm{~cm}$$
2
JEE Main 2023 (Online) 10th April Morning Shift
MCQ (Single Correct Answer)
+4
-1

A physical quantity P is given as

$$P = {{{a^2}{b^3}} \over {c\sqrt d }}$$

The percentage error in the measurement of a, b, c and d are 1%, 2%, 3% and 4% respectively. The percentage error in the measurement of quantity P will be

A
12%
B
13%
C
16%
D
14%
3
JEE Main 2023 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

Match List I with List II

LIST I LIST II
A. Torque I. $$\mathrm{ML^{-2}T^{-2}}$$
B. Stress II. $$\mathrm{ML^2T^{-2}}$$
C. Pressure gradient III. $$\mathrm{ML^{-1}T^{-1}}$$
D. Coefficient of viscosity IV. $$\mathrm{ML^{-1}T^{-2}}$$

Choose the correct answer from the options given below:

A
A-II, B-I, C-IV, D-III
B
A-II, B-IV, C-I, D-III
C
A-IV, B-II, C-III, D-I
D
A-III, B-IV, C-I, D-II
4
JEE Main 2023 (Online) 8th April Morning Shift
MCQ (Single Correct Answer)
+4
-1

Dimension of $$\frac{1}{\mu_{0} \in_{0}}$$ should be equal to

A
$$\mathrm{T}^{2} / \mathrm{L}^{2}$$
B
$$\mathrm{T} / \mathrm{L}$$
C
$$\mathrm{L}^{2} / \mathrm{T}^{2}$$
D
$$\mathrm{L} / \mathrm{T}$$
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