For the following questions, statement as well as the...

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 $-1:$ When a sound source moves towards observer, then frequency of sound increases. Statement $-2:$ Wavelength of sound in a medium moving towards the observer decreases. (A) a (B) $\mathrm{b}$ (C) $c$ (D) $\mathrm{d}$

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 $-1:$ When a sound source moves towards observer, then frequency of sound increases. Statement $-2:$ Wavelength of sound in a medium moving towards the observer decreases.
(A) a
(B) $\mathrm{b}$
(C) $c$
(D) $\mathrm{d}$

Key Concepts

Doppler Effect

The Doppler Effect is a phenomenon observed when there is relative motion between a wave source and an observer. This effect causes the observed frequency of the wave to be higher when the source moves towards the observer and lower when it moves away. It plays a key role in understanding how the perceived pitch of sounds or other waves changes due to motion.

Wave Propagation in a Medium

This concept refers to the principle that when waves travel through a medium, such as sound through air, the speed of the wave is determined by the properties of the medium and remains constant irrespective of the source’s motion. Changes in observed frequency or wavelength result from the relative movement of the source or observer rather than from any alteration in the medium itself.

Relationship between Frequency, Wavelength, and Speed

The fundamental wave equation, which states that the wave speed equals the product of frequency and wavelength, is essential for understanding wave behavior. This relationship implies that if the speed of the wave remains constant, any increase in the frequency will be accompanied by a corresponding decrease in the wavelength, and vice versa.

Statement-Reason Analysis in Evaluations

This key concept involves evaluating two related assertions in a question to determine their truth values and the logical connection between them. In such analyses, one must assess whether both statements are correct independently and if one statement provides a proper explanation for the other, which is a common approach in multiple-choice assessments.

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