The extension in a string, obeying Hooke’s law, is x. The speed of sound in the stretched string is v. If the extension in the string is increased to 1.5x, the speed of sound will be
1.22v
0.61v
1.50v
0.75v
A traveling wave in a stretched string is described by the equation y = A sin (kx-(t). The maximum particle velocity is
A(
( /k
D( /dk
X/t
Two vibrating string of the same material but lengths L and 2 L have radii 2r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental nodes, the one of length L with frequency v1 and the other with frequency v2. The ratio v1/v2 is given by
2
4
8
1
The ends of a stretched wire of length L are fixed at x=0 and x=L. In one experiment, the displacement of the wire is y1=Asin(( x/L)sin (t and energy is E1 and in another experiment its displacement is y2=A sin (2 ( x/L)sin 2(t and energy is
E2 = E1
E2 = 2E1
E2 = 4E1
E2 = 16E1
A wave equation which gives the displacement along the y-direction is given by = 10-4 sin (60t + 2x) where x and y are in metres and t is time in seconds. This represents a wave
Traveling with a velocity of 30 m/s in the negative x direction
Of wavelength ( m
Of frequency 30/( hertz.
Of amplitude 10-4 m traveling along the negative x-direction
All of above
The displacement of particles in string stretched in the x-direction is represented by y. Among the following expressions for y. those describing wave notion are:
Cos kx sin (t
K2x2- (2t2
Cos2 (kx+(t)
Cos (k2x2- (2t2)
A string of length 0.4 and mass 10-2 kg is tightly clamped at its ends. The tension in the strings is 1.6 N. Identical wave pulses are produced at one end at equal intervals of time, which allows constructive interference between successive pulses is
0.05 s
0.10 s
0.20 s
0.40 s