Question

For the following questions, statement as well as the reason(s) are given. Each questions has four options. Select the correct option. (a) Statement $-1$ is true, statement $-2$ is true; statement $-2$ is the correct explanation of statement $-1$. (b) Statement $-1$ is true, statement $-2$ is true but statement $-2$ is not the correct explanation of statement $-1$ (c) Statement $-1$ is true, statement $-2$ is false (d) Statement $-1$ is false, statement $-2$ is true Statement $-1:$ Two waves moving in a uniform string having uniform tension cannot have different velocities. Statement $-2:$ Elastic and inertial properties of string are same for all waves in same string. Moreover speed of wave in a string depends on its elastic and inertial properties only. (A) a (B) $b$ (C) $c$ (D) $\mathrm{d}$

Name: Problem 1503, Chapter 10: JEE Physics
Uploaded: 2021-11-11T15:34:41-08:00
Duration: 2 min 21 s
Channel: Akshaya Rs

   For the following questions, statement as well as the reason(s) are given. Each questions has four options. Select the correct option.
(a) Statement $-1$ is true, statement $-2$ is true; statement $-2$ is the correct explanation of statement $-1$.
(b) Statement $-1$ is true, statement $-2$ is true but statement $-2$ is not the correct explanation of statement $-1$
(c) Statement $-1$ is true, statement $-2$ is false
(d) Statement $-1$ is false, statement $-2$ is true
Statement $-1:$ Two waves moving in a uniform string having uniform tension cannot have different velocities. Statement $-2:$ Elastic and inertial properties of string are same for all waves in same string. Moreover speed of wave in a string depends on its elastic and inertial properties only.
(A) a
(B) $b$
(C) $c$
(D) $\mathrm{d}$

JEE Physics

StemEZ 1st Edition

Chapter 10, Problem 1503

Instant Answer

Solved by Expert Akshaya Rs

11/11/2021

Step 1

This formula shows that the speed of the wave depends only on the elastic and inertial properties of the string, not on the characteristics of the wave itself. Show more…

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For the following questions, statement as well as the reason(s) are given. Each questions has four options. Select the correct option. (a) Statement $-1$ is true, statement $-2$ is true; statement $-2$ is the correct explanation of statement $-1$. (b) Statement $-1$ is true, statement $-2$ is true but statement $-2$ is not the correct explanation of statement $-1$ (c) Statement $-1$ is true, statement $-2$ is false (d) Statement $-1$ is false, statement $-2$ is true Statement $-1:$ Two waves moving in a uniform string having uniform tension cannot have different velocities. Statement $-2:$ Elastic and inertial properties of string are same for all waves in same string. Moreover speed of wave in a string depends on its elastic and inertial properties only. (A) a (B) $b$ (C) $c$ (D) $\mathrm{d}$

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Key Concepts

Wave Propagation in Strings

The speed of a wave traveling along a string is determined by the tension in the string and its linear mass density (inertial property). This relation, often expressed as v = ?(T/?), shows that the wave’s speed is fundamentally dependent on the medium’s elastic (tension) and inertial (density) characteristics.

Uniform Medium Properties

A uniform or homogeneous string has consistent physical properties, such as tension and mass density, throughout its length. This uniformity ensures that any wave propagating along the string experiences the same conditions everywhere, leading to a single characteristic speed for all waves in that medium.

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