JEE Main 2023 (Online) 15th April Morning Shift | Units & Measurements Question 34 | Physics

The speed of a wave produced in water is given by $v=\lambda^{a} g^{b} \rho^{c}$. Where $\lambda, g$ and $\rho$ are wavelength of wave, acceleration due to gravity and density of water respectively. The values of $a, b$ and $c$ respectively, are :

$\frac{1}{2}, 0, \frac{1}{2}$

$1,1,0$

$1,-1,0$

$\frac{1}{2}, \frac{1}{2}, 0$

JEE Main 2023 (Online) 13th April Evening Shift

MCQ (Single Correct Answer)

-1

In the equation $$\left[X+\frac{a}{Y^{2}}\right][Y-b]=\mathrm{R} T, X$$ is pressure, $$Y$$ is volume, $$\mathrm{R}$$ is universal gas constant and $$T$$ is temperature. The physical quantity equivalent to the ratio $$\frac{a}{b}$$ is:

Impulse

Energy

Pressure gradient

Coefficient of viscosity

JEE Main 2023 (Online) 13th April Morning Shift

MCQ (Single Correct Answer)

-1

A body of mass $$(5 \pm 0.5) ~\mathrm{kg}$$ is moving with a velocity of $$(20 \pm 0.4) ~\mathrm{m} / \mathrm{s}$$. Its kinetic energy will be

$$(1000 \pm 140) ~\mathrm{J}$$

$$(500 \pm 0.14) ~\mathrm{J}$$

$$(1000 \pm 0.14) ~\mathrm{J}$$

$$(500 \pm 140) ~\mathrm{J}$$

JEE Main 2023 (Online) 12th April Morning Shift

MCQ (Single Correct Answer)

-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.	$$\mathrm{[ML^2T^{-1}]}$$