A hospital uses an ultrasonic scanner to locate tumours in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is 1.7 km s–1 ? The operating frequency of the scanner is 4.2 MHz
Solution and Explanation
Speed of sound in the tissue, v = 1.7 km/s = 1.7 × 103 m/s
Operating frequency of the scanner, ν = 4.2 MHz = 4.2× 106 Hz
The wavelength of sound in the tissue is given as:
\(λ=\frac{v}{v}\)
\(=\frac{1.7×10^3}{4.2×10^6}=4.1×10^{-4}\,m\)
Top Questions on Transverse and longitudinal waves
- The velocity of a transverse wave propagating on a stretched string represented by the equation, $y = 0.5sin(x)(\frac{\pi}2 t + \frac{\pi}3 x)$ is (where x and y are in metres and / in seconds)
- KEAM - 2021
- Physics
- Transverse and longitudinal waves
- A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is $2.7×10^3 kg/m^3$ and its Young's modulus is $9.27×10^{10} Pa$. What will be the fundamental frequency of the longitudinal vibrations?
- Physics
- Transverse and longitudinal waves
- A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at 20 °C = 343 m s–1 .
- CBSE Class XI
- Physics
- Transverse and longitudinal waves
A wire stretched between two rigid supports vibrates in its fundamental mode with a frequency of 45 Hz. The mass of the wire is 3.5 × 10–2 kg and its linear mass density is 4.0 × 10–2 kg m–1. What is (a) the speed of a transverse wave on the string, and (b) the tension in the string?
- CBSE Class XI
- Physics
- Transverse and longitudinal waves
For the travelling harmonic wave
y(x, t) = 2.0 cos 2π (10t – 0.0080 x + 0.35)
where x and y are in cm and t in s. Calculate the phase difference between oscillatory motion of two points separated by a distance of
(a) 4 m,
(b) 0.5 m,
(c) \(\frac{λ}{2}\),
(d) \(\frac{3λ}{4}\)
- CBSE Class XI
- Physics
- Transverse and longitudinal waves
Questions Asked in CBSE Class XI exam
- Consider the reactions:
- H3PO2(aq) + 4 AgNO3(aq) + 2 H2O(l) \(\rightarrow\) H3PO4(aq) + 4Ag(s) + 4HNO3(aq)
- H3PO2(aq) + 2CuSO4(aq) + 2 H2O(l) \(\rightarrow\) H3PO4(aq) + 2Cu(s) + H2SO4(aq)
- C6H5CHO(l) + 2[Ag (NH3)2]+(aq) + 3OH- (aq) \(\rightarrow\) C6H5COO- (aq) + 2Ag(s) + 4NH3(aq) + 2 H2O(l)
- C6H5CHO(l) + 2Cu2+(aq) + 5OH-(aq) \(\rightarrow\) No change observed.
What inference do you draw about the behaviour of Ag+ and Cu2+ from these reactions?
- CBSE Class XI
- Redox Reactions In Terms Of Electron Transfer Reactions
- Find \((x + 1)^6 - (x - 1)^6\). Hence or otherwise evaluate \((\sqrt2 + 1)^6 + (\sqrt2 - 1)^6.\)
- CBSE Class XI
- Binomial Theorem for Positive Integral Indices
- If U = {a, b, c, d, e, f, g, h}, find the complements of the following sets:
(i) A = {a, b, c}
(ii) B = {d, e, f, g}
(iii) C = {a, c, e, g}
(iv) D = {f, g, h, a}- CBSE Class XI
- Complement of a Set
- Consider the following species: N3- , O2-, F-, Na+, Mg2+ and Al3+
- What is common in them?
- Arrange them in the order of increasing ionic radii.
- CBSE Class XI
- Modern Periodic Law And The Present Form Of The Periodic Table
- Find and write down structures of 10 interesting small molecular weight biomolecules. Find if there is any industry which manufactures the compounds by isolation. Find out who are the buyers.
- CBSE Class XI
- How To Analyse Chemical Composition?