Two sine waves travelling in the same direction through the same region, have eq

Sail E0 Webinar

Question

Two sine waves travelling in the same direction through the same region, have equal frequencies, wavelengths and amplitudes. If the amplitude of each wave is 4 mm and the phase difference between the waves is 90

^{\circ}

, what is the resultant amplitude?

Options:

A . 8 mm

B . 4√3mm

C . 2√2mm

D . 4√2mm

Answer: Option D
:
D
Giventhe frequency and wavelength of the wave is same, the phase method of calculating resultant amplitude can be used. Here given is that phase difference

ϕ

is

\frac{π}{2}

Resultant amplitude

A = \sqrt{a_{1}^{2} + a_{2}^{2} + 2 a_{1} a_{2} c o s ϕ}

Also

a_{1} = a_{2} = 4 m m

A = 4 \sqrt{2} m m

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. The extension in a string, obeying Hook's law, is x. The speed of sound in the stretched string is v. If the e....increased to 1.5 x, the speed of sound will be :

Question 2. Two waves passing through a region are represented by y = 1.0 cmsin [ (3.14 cm−1)&....x = 4.5 cm at time t = 5.0 ms.

Question 3. On December 2006, a great earthquake occurred off the coast of Sumatra and triggered immense waves (Tsunami) that killed....of 1 hr. what was the speed of the wave?

Question 4. A sinusoidal wave propagates along a string in figure (a) and (b). 'y' represents displacement of particle from the mean....the wave2. Maximum velocity and maximum acceleration of the particles

Question 5. A wave propagates on a string in the positive x-direction at a velocity v. The shape of the string at t = t0 i....(xa) Write the wave equation for a general time t.

Question 6. A string of length 0.4 m and mass 10−2 kg is tightly clampled at its ends. The tension in the string is 1.6 N. id....∆t, which allows constructive interference between succesive pulses, is :

Question 7. The equation of a wave travelling on a string stretched along the X-axis is given by y=A e−(xa+tT)2 Where i....the maximum of the pulse located at t = T?

Question 8. A tuning fork of frequency 480 Hz is used to vibrate a sono-meter wire having natural frequency 240 Hz. The wire will vi....240 Hz. The wire will vibrate with a frequency of

Question 9. Consider two waves passing through the same string. Principle of superposition for displacement says that the net displa....of the particle. Such a principle will be valid for

Question 10. A wave pulse is travelling on a string with a speed v towards the positive X-axis. The shape of the string at t = 0 is g....a general time t, if the wave speed is v.

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

DSP Combined 1 Free Revision Test SAIL JO E-0

GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0

BSP Plant Specific Review Test SAIL JO E-0

BSL Combined 1 Free Revision Test SAIL JO E-0

GFM Combined 1 Free Revision Test SAIL JO E-0