JEE Main 2024 (Online) 30th January Evening Shift | Units & Measurements Question 84 | Physics

If mass is written as $$m=k \mathrm{c}^{\mathrm{P}} G^{-1 / 2} h^{1 / 2}$$ then the value of $$P$$ will be : (Constants have their usual meaning with $k a$ dimensionless constant)

1/3

$$-$$1/3

1/2

JEE Main 2024 (Online) 30th January Morning Shift

MCQ (Single Correct Answer)

-1

Match List I with List II.

	List I		List II
(A)	Coefficient of viscosity	(I)	$$\left[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^{-2}\right]$$
(B)	Surface tension	(II)	$$\left[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^{-1}\right]$$
(C)	Angular momentum	(III)	$$\left[\mathrm{M} \mathrm{L}^{-1} \mathrm{~T}^{-1}\right]$$
(D)	Rotational kinetic energy	(IV)	$$\left[\mathrm{M} \mathrm{L}^0 \mathrm{~T}^{-2}\right]$$

Choose the correct answer from the options given below :

(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

(A)-(I), (B)-(II), (C)-(III), (D)-(IV)

(A)-(IV), (B)-(III), (C)-(II), (D)-(I)

(A)-(III), (B)-(IV), (C)-(II), (D)-(I)

JEE Main 2024 (Online) 29th January Evening Shift

MCQ (Single Correct Answer)

-1

A physical quantity $$Q$$ is found to depend on quantities $$a, b, c$$ by the relation $$Q=\frac{a^4 b^3}{c^2}$$. The percentage error in $$a, b$$ and $$c$$ are $$3 \%, 4 \%$$ and $$5 \%$$ respectively. Then, the percentage error in $$Q$$ is :

43%

34%

66%

14%

JEE Main 2024 (Online) 29th January Morning Shift

MCQ (Single Correct Answer)

-1

The resistance $$R=\frac{V}{I}$$ where $$\mathrm{V}=(200 \pm 5) \mathrm{V}$$ and $$I=(20 \pm 0.2) \mathrm{A}$$, the percentage error in the measurement of $$\mathrm{R}$$ is :

5.5%

3.5%

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