You have learnt that a travelling wave in one dimension is repres… - Vidyadip

Question

You have learnt that a travelling wave in one dimension is represented by a function y = f(x, t) where x and t must appear in the combination x – v t or x + v t, i.e. y = f (x ± v t). Is the converse true? Examine if the following functions for y can possibly represent a travelling wave:

(x – vt)²
log[(x + vt)/x₀]
1/(x + vt)

✓

Answer

No, the converse is not true. The basic requirements for a wave function to represent a travelling wave is that for all values of x and t, wave function must have finite value.
Out of the given functions for y, no one satisfies this condition. Therefore, none can represent a travelling wave.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Waves→Waves — all question types→Physics STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

A body is executing S.H.M. of amplitude 1m. Its velocity while passing through the mean position, is 10ms^-1 Find its frequency.

State if each of the following statements is true or false. Give reasons for your answer.
(a) In an elastic collision of two bodies, the momentum and energy of each body is conserved.
(b) Total energy of a system is always conserved, no matter what internal and external forces on the body
are present.
(c) Work done in the motion of a body over a closed loop is zero for every force in nature.
(d) In an inelastic collision, the final kinetic energy is always less than the initial kinetic energy of the system.

Calculate the mean free path of a molecule of a gas at a room temperature and one atmospheric pressure. The radius of the gas molecules (avg) is 2 × 10^-10m?

A steel tube of length 1.00m is struck at one end. A Find the time gap between the two hearings. Use the person with his ear close to the other end hears the table in the text for speeds of sound in various sound of the blow twice, one travelling through the body substances. of the tube and the other through the air in the tube. Find the time gap between the two hearings. Use the table in the text for speeds of sound in various substances.

Find the height over the earth's surface at which the weight of a body becomes half of its value at the surface.

A simple pendulum of a length l and having a bob of mass M is suspended in a car. The car is moving on a circular track of radius R with a uniform speed v. If the pendulum makes small oscillations in a radial direction about its equilibrium position, what will be its time period?

Why does the earth have an atmosphere and the moon does not?

Example 5.4 In a ballistics demonstration a police officer fires a bullet of mass $50.0 g$ with speed $200 m s ^{-1}$ (see Table 5.2) on soft plywood of thickness $2.00 cm$. The bullet emerges with only $10 \%$ of its initial kinetic energy. What is the emergent speed of the bullet?

At any instant, the coordinates of a particle moving with constant angular speed in a circular path are $x= A \cos \omega t$ and $y= A \sin \omega t$. What is the radius of circular path?

Water from a sprinkler comes out with a constant velocity u in all the directions. What is the maximum area of the grass-land that can be watered at any time?