IAT (IISER) 2025 | Waves Question 2 | Physics

Consider two waves, which are given by $y_1(x, t)=A \sin (k x-\omega t)$ and $y_2(x, t)=\sqrt{3} A \cos (k x-\omega t)$, where $k$ is the wave number and $\omega$ is the angular frequency. The amplitude of the resultant waveform obtained by the superposition of the two waves is $A_s$ and its phase difference with $y_1$ is $\phi_s$. What are $A_s$ and $\phi_s$ ?

$$ A_s=2 A \text { and } \phi_s=\frac{\pi}{3} $$

$$ A_s=2 A \text { and } \phi_s=\frac{\pi}{6} $$

$$ A_s=\frac{A}{2} \text { and } \phi_s=\frac{\pi}{3} $$

$$ A_s=\frac{A}{2} \text { and } \phi_s=\frac{\pi}{6} $$

IAT (IISER) 2023

MCQ (Single Correct Answer)

-1

The frequency of the whistle of a train moving with a constant speed is observed by a stationary detector on the platform to be $v_1$. The frequency of the same whistle is detected to be $v_2$ inside another train moving on a parallel track, at a speed $v$ towards the frst train. If the speed of sound in air is taken to be $v_s$ ound, what is the ratio $v / v_s$ ound?

$\frac{v_2-v_1}{v_1}$

$\frac{v_2-v_1}{v_2}$

$\frac{v_2}{v_1}$

$\frac{v_1}{v_2}$

IAT (IISER) 2022

MCQ (Single Correct Answer)

-1

A uniform taut string with two point charges $q$ and $-q$ attached to its ends passes over two massless pullies kept $L$ distance apart as shown in the fgure. If $f$ is the fundamental frequency of the part of the string over pullies, which of the following statements is correct? IAT (IISER) 2022 Physics - Waves Question 3 English

IAT (IISER) 2022 Physics - Waves Question 3 English

$f \propto L^{-2}$

$f \propto L^{-1}$

$f \propto L$

$f \propto L^2$

IAT (IISER) Subjects

Browse all chapters by subject

Biology

Botany

Cell - The Unit of Life Biomolecules Cell Cycle and Cell Division Sexual Reproduction in Flowering Plants Microbes in Human Welfare Anatomy of Flowering Plants Mineral Nutrition Respiration in Plants Biotechnology: Principles and Processes Biodiversity and Conservation Morphology of Flowering Plants Photosynthesis in Higher Plants Principles of Inheritance and Variation Molecular Basis of Inheritance Organisms and Populations Ecosystem

Zoology

Human Health and Diseases Body Fluids and Its Circulation Locomotion and Movement Neural Control and Coordination Reproduction in Organisms Structural Organisation in Animals Digestion and Absorption Excretory Products and Their Elimination Chemical Coordination and Integration Human Reproduction Animal Kingdom Breathing and Exchange of Gases