When a pebble is dropped into a pond of still water, what happens?
a) Particles move b) Waves move c) The pebble moves d) Water moves Solution: b) Waves move When a pebble... View Article
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A string of mass 3 kg is under tension of 400 N. the length of the stretched string is 25 cm. If the transverse jerk is stuck at tone end of the string how long does the disturbance take to reach the other end?
(a) 25 π2ms-2 (b) 5 π2ms-2 (c) -5 π2ms-2 (d) -25 π2ms-2 Solution: (c) -5 π2ms-2 We know, ω =... View Article
With propagation of longitudinal waves through a medium, the quantity transmitted is
(a) matter(b) energy(c) energy and matter(d) energy, matter and momentumSolution: (b) energyLongitudinal waves are propagated by propagation of energy by... View Article
A metallic wire of 1 m length has a mass of 10 × 10-3 kg. If a tension of 100 N is applied to a wire, what is the speed of the transverse wave?
(a) 10 ms-1 (b) 0.1 ms-1 (c) 100 ms-1 (d) 200 ms-1 Solution: (c) 100 ms-1 Linear mass density is... View Article
A 40 cm wire having a mass of 3.2 g is stretched between two fixed supports 40.05 cm apart. In its fundamental mode, the wire vibrates at 220 Hz. If the area of cross section of the wire is 1.0 mm2, find its Young modulus.
Strain = ΔI/I = 0.125 x 10-2 and f = 1/2L √(T/m) => T = 248.19 N Now, stress =... View Article
The equation of a standing wave, produced on a string fixed at both ends, is
Question: The equation of a standing wave, produced on a string fixed at both ends, is y = (0.4 cm)... View Article
The equation for the vibration of a string, fixed at both ends vibrating in its third harmonic, is given by
y = (0.4 cm) sin[(0.314 cm−1)x] cos[(600π s−1)t] (a) What is the frequency of vibration? (b) What are the positions... View Article
A 2 m-long string fixed at both ends is set into vibrations in its first overtone. The wave speed on the string is 200 m s−1 and amplitude is 0.5 cm.
(a) Find the wavelength and the frequency. (b) Write the equation giving the displacement of different points as a function... View Article
A string of length L fixed at both ends vibrates in its fundamental mode at a frequency v and a maximum amplitude A.
(a) Find the wavelength and the wave number k. (b) Take the origin at one end of the string and... View Article
Figure shows an aluminium wire of length 60 cm joined to the steel wire of length 80 cm and stretched between two fixed supports.
Question: Figure (below) shows an aluminium wire of length 60 cm joined to the steel wire of length 80 cm... View Article
A uniform horizontal rod of length 40 cm and mass 1.2 kg is supported by two identical wires as shown in figure
Question: A uniform horizontal rod of length 40 cm and mass 1.2 kg is supported by two identical wires as... View Article
Two wires are kept right between the same pair of supports. The tensions in the wires are in the ratio 2:1, the radii are in the ratio 3:1 and the densities are in the ratio 1 : 2. Find the ratio of their fundamental frequencies.
The ratio of mass per unit length of the wires: ρ1/ρ2 x r12/r22 = (1/2) x (9/1)= 9/2 Fundamental frequency... View Article
Three resonant frequencies of the string are 90, 150 and 210 Hz.
(a) Find the highest possible fundamental frequency of vibration of this string. (b) Which harmonics of the fundamental are the... View Article
A steel wire fixed at both ends has a fundamental frequency of 200 Hz. A person can hear sound of maximum frequency 14 kHz. What is the highest harmonic that can be played on this string which is audible to the person?
Fundamental frequency = fo =200 Hz nth harmonic = f’ = n × fundamental frequency and frequency of the highest... View Article
A particular guitar wire is 30.0 cm long and vibrates at a frequency of 196 Hz when no finger is placed on it. The next higher notes on the scale are 220 Hz, 247 Hz, 262 Hz and 294 Hz. How far from the end of the string must the finger be placed to play these notes?
We know that, f ∝ 1/l or f = v/l (where v = constant for a medium) l1 = 30... View Article
A 660 Hz tuning fork sets up vibration in a string clamped at both ends. The wave speed for a transverse wave on this string is 220 m s−1 and the string vibrates in three loops.
Solution : f = 660 Hz and v = 220 m/s Wave length = λ = v/f = 1/3 m... View Article
A string, fixed at both ends, vibrates in a resonant mode with a separation of 2.0 cm between the consecutive nodes. For the next higher resonant frequency, this separation is reduced to 1.6 cm. Find the length of the string.
Let n be the frequency, L is length of the string and λ be the distance between two consecutive nodes.... View Article
A wire, fixed at both ends is seen to vibrate at a resonant frequency of 240 Hz and also at 320 Hz.
(a) What could be the maximum value of the fundamental frequency? (b) If transverse waves can travel on this string... View Article
A one-metre long stretched string having a mass of 40 g is attached to a tuning fork. The fork vibrates at 128 Hz in a direction perpendicular to the string. What should be the tension in the string if it is to vibrate in four loops?
Using relation, L = nλ/2 Here n = 4 and L = 1 m => λ = 0.5 Also, v... View Article
The length of the wire shown in figure (below) between the pulley is 1.5 m and its mass is 12.0 g. Find the frequency of vibration with which the wire vibrates in two loops leaving the middle point of the wire between the pulleys at rest.
Solution: Mass of the wire = 12 gm Length of the wire between two pulleys (L) = 1.5 m so,... View Article
