# Transmission of Wave

## Trending Questions

**Q.**

What is path difference formula?

**Q.**

What is the difference between TE and TM mode?

**Q.**

If the speed of a wave doubles as it passes from shallow water into deeper water, its wavelength will be:

Unchanged

Doubled

Quadrupled

Halved

**Q.**

If the speed of a transverse wave on a stretched string of length $1m$ is $60m{s}^{-1}$, what is the fundamental frequency of vibration?

**Q.**

A wave of frequency $500Hz$ has a velocity of ${360}^{\xc2\xb0}m{s}^{-1}.$ Calculate the distance between two points that are ${60}^{\xc2\xb0}$ out of phase

$12cm$

$18cm$

$17cm$

$25cm$

**Q.**A composite string is made by joining two strings of different masses per unit length μ and 4μ. The composite string is under the same tension. A transverse wave pulse. y=(6 mm)sin(5t+40x), where 't' is in seconds and 'x' is in meters, is sent along the lighter string towards the joint. The joint is at x=0. The equation of the wave pulse reflected from the joint is y=(2 mm)sin(5t−40x+π). The percentage of the power transmitted to the heavier string through the joint is approximately

- 33%
- 89%
- 67%
- 75%

**Q.**A pulse travelling on string fixed at one end and free at other end as shown figure. Choose the correct option.

- Point A represents node
- Point B represents antinode
- Point B represents node
- Both (a) and (b)

**Q.**Which quantity will always remain same when an incident wave transmits from one medium to other?

- Wave speed
- Amplitude
- Wavelength
- Frequency

**Q.**A pulse (shown here) is reflected from the rigid wall A and then from free end B. The shape of the string after these 2 reflections will be -

**Q.**The figure shows at time t=0 sec, a rectangular and triangular pulse on a uniform wire. They are approaching each other. The pulse speeds are 0.5 cm/s each. The resultant pulse at t=2 sec is

**Q.**Two strings are attached to each other as shown in the figure. The linear mass density of the second string is four times that of the first string and the boundary between the two strings is at x=0. The wave equation of the incident wave at the boundary is yi=Aicos(k1x−ω1t). Then, which of the following correctly represents the equation of the transmitted wave? Assume, tension in the two strings are same.

- yt=32Aicos(k1x−ω1t)
- yt=23Aicos(k1x−ω1t)
- yt=32Aicos(2k1x−ω1t)
- yt=23Aicos(2k1x−ω1t)

**Q.**A pulse (shown here) is first reflected from the free end A and then from the rigid end B. The phase difference between initial incident pulse and final reflected pulse after two reflections is

- π
- 2π
- 0
- 3π

**Q.**Two strings 1 and 2 make a junction of partly reflected and partly transmitted waves. The linear mass density of string 2 is four times that of string 1, and the boundary between the two strings is at x=0. The expression for the incident wave is yi=Aicos(k1x−ω1t). Which of the following relations is correct, if average power carried by the incident wave, transmitted wave and reflected wave are Pi, Pt & Pr respectively? [Assume tension in string 1 and 2 to be the same]

- Pi=Pt−Pr
- Pi=PiPr
- Pi=Pt×Pr
- Pi=Pt+Pr

**Q.**Figure shows an incident pulse P reflected from a rigid support. Which one of the following options represent the reflected pulse?

**Q.**Two strings A and B made of same material are stretched by same tension. The radius of cross-section of string A is double the radius of cross-section of string B. A transverse wave travels through string A with speed vA and through string B with speed vB. The ratio vAvB is

- 12
- 2
- 14
- 4

**Q.**The speed of a transverse wave travelling through a wire having a length 50 cm and mass 5.0 g is 80 m/s. The area of cross-section of the wire is 1.0 mm2 and its Young's modulus is 16×1011 N/m2. Find the extension in the wire with respect to its natural length.

- 0.01 mm
- 0.3 mm
- 0.02 mm
- 0.04 mm

**Q.**If a wave is going from one medium to another, then

- its frequency changes
- its wavelength does not change
- its speed does not change
- its amplitude may change

**Q.**A string of length 7 m has a mass of 0.035 kg. If the tension in the string is 60.5 N, then speed of a wave on the string is:

- 77 m/s
- 102 m/s
- 110 m/s
- 165 m/s

**Q.**A composite string is made up by joining two strings of different mass per unit length μ and 4μ. The composite string is under the same tension. A transverse wave pulse is sent along the lighter string towards the joint. The ratio of wave number of incident wave to the transmitted wave is

- 2:1
- 1:2
- 3:2
- 2:3

**Q.**Equation of a plane progressive wave is given by y=0.5 sin 3π(t−x3). On reflection from a denser medium its amplitude becomes 25 of the amplitude of the incident wave. The equation of the reflected wave is

- 0.2 sin (π(3t+x))
- −0.2 sin (3πt+πx)
- 0.5 sin (πt+x)
- 0.2 sin(π(3t−x))

**Q.**A harmonic wave is travelling on string 1. At the junction with string 2, it is partly reflected and partly transmitted. The linear mass density of string 2 is 9 times that of string 1, and that the boundary between the two strings is at x=0. If the expression for the incident wave is

yi=(3 cm)cos[(3.14 cm−1)x−(314 rad s−1)t]. What is the expression for the transmitted waves?

- yt=(3 cm)cos[(3.14 cm−1)x−(314 rad s−1)t)]
- yt=(1.5 cm)cos[(3 cm−1)x−(9.42 rad s−1)t]
- yt=(3 cm)cos[(9.42 cm−1)x−(3.14 rad s−1)t]
- yt=(1.5 cm)cos[(9.42 cm−1)x−(314 rad s−1)t]

**Q.**

The harmonic wave yi = (2.0 × 10−3) cos π (2.0 x −50t) travels along a string toward a boundary at x = 0 with a second string. The wave speed on the second string is 50 m/s. What are the expressions for reflected and transmitted waves. Assume SI units

6.67 × 10−4 cos π (2.0x + 50t), 2.67 × 10−3 cos π (x − 50t)

6.67 × 10−4 cos π (2.0x − 50t), 2.67 × 10−3 cos π (x − 50t)

6.67 × 10−4 cos π(2.0x + 50t + π), 2.67 × 10−3 cos π (x − 50t)

6.67 × 10−4 cos π(2.0x − 50t + π), 2.67 × 10−3 cos π (x − 50t)

**Q.**Figure shows a string of linear mass density 1.0 g/cm on which a wave pulse is travelling.

Find the time taken by the pulse in travelling through a distance of 50 cm on the string. Take g=10 m/s2

- 0.04 s
- 0.03 s
- 0.05 s
- 0.08s

**Q.**

The wavelength of waves produced on the surface of the water is 20 cm. If the wave velocity is 24 m/s calculate the number of waves produced in one second.

**Q.**The T.V transmission tower in Delhi has a height of 240 m. The distance up to which the broadcast can be received (taking the radius of earth to be 6.4×106m) is (in km)

**Q.**A wave travelling on a string is transmitted to other string of different density, gets partially reflected at the junction. The reflected wave is inverted in shape as compared to the incident wave. If the incident wave has wavelength λ1 and the transmitted wave λ2, then

- λ2>λ1
- λ2=λ1
- λ2<λ1
- Cannot be predicted

**Q.**Two strings are attached to each other as shown in the figure. The linear mass density of the second string is 16 times that of the first string and the boundary between the two strings is at x=0. The incident wave is given by y=0.01cos(20x−100t). Then, the ratio of amplitude of reflected wave to amplitude of transmitted wave is:

[Assume, tension in both the strings is same]

- 2:3
- 3:2
- 5:9
- 9:5

**Q.**The pulse shown is figure has a speed 8 cm/s. The linear mass density of right string is 4 times that of the left string. What is ratio of the heights of the transmitted pulse and the reflected pulse?

[Assume tension to be same]

- 4
- 1
- 2
- 6

**Q.**A pulse is travelling on a stretched string fixed at one end with velocity 2 cm/s as shown in the figure. At t=0 s, center of pulse is 4 cm apart from the fixed end. The shape of string at t=2 s is

**Q.**A sinusoidal wave represented as yi=0.004cosπ(4x−100t) m travels along a string towards a boundary at x=0 with a second string. If the wave speed on the second string is 50 m/s , then which of the following statement(s) is/are correct?

- Amplitude of the reflected wave is 43×10−3 m.
- Amplitude of the transmitted wave is 163×10−3 m.
- Amplitude of the reflected wave is 163×10−3 m.
- Amplitude of the transmitted wave is 43×10−3 m.