1
JEE Main 2025 (Online) 2nd April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the $x$-direction in 0.3 sec . The crest P is at $x=0$ at $\mathrm{t}=0 \mathrm{sec}$ and maximum displacement of the wave is 2 cm . Which equation correctly represents this wave?
A
$y=2 \cos (0.83 x-3.35 t) \mathrm{cm}$
B
$y=2 \sin (0.83 x-3.5 \mathrm{t}) \mathrm{cm}$
C
$y=2 \cos (0.13 x-0.5 t) \mathrm{cm}$
D
$y=2 \cos (3.35 x-0.83 \mathrm{t}) \mathrm{cm}$
2
JEE Main 2025 (Online) 28th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason $\mathbf{R}$

Assertion A: A sound wave has higher speed in solids than gases.

Reason R: Gases have higher value of Bulk modulus than solids.

In the light of the above statements, choose the correct answer from the options given below

A
Both $\mathbf{A}$ and $\mathbf{R}$ are true and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$
B
$\mathbf{A}$ is false but $\mathbf{R}$ is true
C
$\mathbf{A}$ is true but $\mathbf{R}$ is false
D
Both $\mathbf{A}$ and $\mathbf{R}$ are true but $\mathbf{R}$ is NOT the correct explanation of $\mathbf{A}$
3
JEE Main 2025 (Online) 23rd January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The equation of a transverse wave travelling along a string is $y(x, t)=4.0 \sin \left[20 \times 10^{-3} x+600 t\right] \mathrm{mm}$, where $x$ is in mm and $t$ is in second. The velocity of the wave is :

A
$-60 \mathrm{~m} / \mathrm{s}$
B
$+60 \mathrm{~m} / \mathrm{s}$
C
$+30 \mathrm{~m} / \mathrm{s}$
D
$-30 \mathrm{~m} / \mathrm{s}$
4
JEE Main 2025 (Online) 22nd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities $\rho_1$ and $\rho_2$, respectively. The frequency of $9^{\text {th }}$ harmonic of closed tube is identical with $4^{\text {th }}$ harmonic of open tube. If the length of the closed tube is 10 cm and the density ratio of the gases is $\rho_1: \rho_2=1: 16$, then the length of the open tube is :

A
$\frac{15}{7} \mathrm{~cm}$
B
$\frac{20}{9} \mathrm{~cm}$
C
$\frac{20}{7} \mathrm{~cm}$
D
$\frac{15}{9} \mathrm{~cm}$
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