1
JEE Main 2023 (Online) 10th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

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%
2
JEE Main 2023 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

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
3
JEE Main 2023 (Online) 8th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

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
$$\mathrm{L} / \mathrm{T}$$
4
JEE Main 2023 (Online) 8th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A cylindrical wire of mass $$(0.4 \pm 0.01) \mathrm{g}$$ has length $$(8 \pm 0.04) \mathrm{cm}$$ and radius $$(6 \pm 0.03) \mathrm{mm}$$. The maximum error in its density will be:

A
1%
B
5%
C
4%
D
3.5%
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