355122
A piece of wire cut into two pieces \(A\) and \(B\) and stretched to the same tension and fixed between two rigid walls. Segment \(A\) is longer than segment \(B\). Which of the following quantities will always be larger for waves on \(A\) than for waves on \(B\)
1 Amplitude of the wave
2 Frequency of the fundamental mode
3 Wave velocity
4 Wavelength of fundamental mode
Explanation:
Conceptual Question
PHXI15:WAVES
355123
Equation of a standing wave is generally expressed as \(y=2 A \sin \omega t \cos k x\). In the equation, quantity \(\dfrac{\omega}{k}\) represents
1 The speed of either of the component waves
2 A quantity that is independent of the properties of the string
3 The transeverse speed of the particles of the string
4 The speed of the standing wave
Explanation:
Equation of the component waves are; \(y=A \sin (\omega t-k x) \text { and } y=A \sin (\omega t+k x)\) For both waves the speed of component waves is \(\dfrac{\omega}{k}\)
PHXI15:WAVES
355124
A stretched string is vibrating in the second overtone, then the number of nodes and antinodes between the ends of the string are respectively
1 3 and 2
2 2 and 3
3 4 and 3
4 3 and 4
Explanation:
The vibrations of second overtone (or third harmonic) of a stretched string is shown in the figure.
From figure, number of nodes and antinodes will be 4 and 3 (when the two ends are also included).
KCET - 2015
PHXI15:WAVES
355125
One end of string, in which a tension in maintained, is fixed to a rigid support and the free end is made to oscillate transversely by a vibrator at a frequency \(f\). Then maximum velocity of propagation of wave in the string will be
1 \(2f\,l\)
2 \(4f\,l\)
3 \(6f\,l\)
4 \(f\,l\)
Explanation:
wavelength is maximum for fundamental mode \(\dfrac{\lambda}{4}=l \Rightarrow \lambda_{\max }=4 l\) \(\therefore \quad v_{\text {max }}=f \lambda_{\text {max }}=4 f l \text {. }\)
355122
A piece of wire cut into two pieces \(A\) and \(B\) and stretched to the same tension and fixed between two rigid walls. Segment \(A\) is longer than segment \(B\). Which of the following quantities will always be larger for waves on \(A\) than for waves on \(B\)
1 Amplitude of the wave
2 Frequency of the fundamental mode
3 Wave velocity
4 Wavelength of fundamental mode
Explanation:
Conceptual Question
PHXI15:WAVES
355123
Equation of a standing wave is generally expressed as \(y=2 A \sin \omega t \cos k x\). In the equation, quantity \(\dfrac{\omega}{k}\) represents
1 The speed of either of the component waves
2 A quantity that is independent of the properties of the string
3 The transeverse speed of the particles of the string
4 The speed of the standing wave
Explanation:
Equation of the component waves are; \(y=A \sin (\omega t-k x) \text { and } y=A \sin (\omega t+k x)\) For both waves the speed of component waves is \(\dfrac{\omega}{k}\)
PHXI15:WAVES
355124
A stretched string is vibrating in the second overtone, then the number of nodes and antinodes between the ends of the string are respectively
1 3 and 2
2 2 and 3
3 4 and 3
4 3 and 4
Explanation:
The vibrations of second overtone (or third harmonic) of a stretched string is shown in the figure.
From figure, number of nodes and antinodes will be 4 and 3 (when the two ends are also included).
KCET - 2015
PHXI15:WAVES
355125
One end of string, in which a tension in maintained, is fixed to a rigid support and the free end is made to oscillate transversely by a vibrator at a frequency \(f\). Then maximum velocity of propagation of wave in the string will be
1 \(2f\,l\)
2 \(4f\,l\)
3 \(6f\,l\)
4 \(f\,l\)
Explanation:
wavelength is maximum for fundamental mode \(\dfrac{\lambda}{4}=l \Rightarrow \lambda_{\max }=4 l\) \(\therefore \quad v_{\text {max }}=f \lambda_{\text {max }}=4 f l \text {. }\)
355122
A piece of wire cut into two pieces \(A\) and \(B\) and stretched to the same tension and fixed between two rigid walls. Segment \(A\) is longer than segment \(B\). Which of the following quantities will always be larger for waves on \(A\) than for waves on \(B\)
1 Amplitude of the wave
2 Frequency of the fundamental mode
3 Wave velocity
4 Wavelength of fundamental mode
Explanation:
Conceptual Question
PHXI15:WAVES
355123
Equation of a standing wave is generally expressed as \(y=2 A \sin \omega t \cos k x\). In the equation, quantity \(\dfrac{\omega}{k}\) represents
1 The speed of either of the component waves
2 A quantity that is independent of the properties of the string
3 The transeverse speed of the particles of the string
4 The speed of the standing wave
Explanation:
Equation of the component waves are; \(y=A \sin (\omega t-k x) \text { and } y=A \sin (\omega t+k x)\) For both waves the speed of component waves is \(\dfrac{\omega}{k}\)
PHXI15:WAVES
355124
A stretched string is vibrating in the second overtone, then the number of nodes and antinodes between the ends of the string are respectively
1 3 and 2
2 2 and 3
3 4 and 3
4 3 and 4
Explanation:
The vibrations of second overtone (or third harmonic) of a stretched string is shown in the figure.
From figure, number of nodes and antinodes will be 4 and 3 (when the two ends are also included).
KCET - 2015
PHXI15:WAVES
355125
One end of string, in which a tension in maintained, is fixed to a rigid support and the free end is made to oscillate transversely by a vibrator at a frequency \(f\). Then maximum velocity of propagation of wave in the string will be
1 \(2f\,l\)
2 \(4f\,l\)
3 \(6f\,l\)
4 \(f\,l\)
Explanation:
wavelength is maximum for fundamental mode \(\dfrac{\lambda}{4}=l \Rightarrow \lambda_{\max }=4 l\) \(\therefore \quad v_{\text {max }}=f \lambda_{\text {max }}=4 f l \text {. }\)
355122
A piece of wire cut into two pieces \(A\) and \(B\) and stretched to the same tension and fixed between two rigid walls. Segment \(A\) is longer than segment \(B\). Which of the following quantities will always be larger for waves on \(A\) than for waves on \(B\)
1 Amplitude of the wave
2 Frequency of the fundamental mode
3 Wave velocity
4 Wavelength of fundamental mode
Explanation:
Conceptual Question
PHXI15:WAVES
355123
Equation of a standing wave is generally expressed as \(y=2 A \sin \omega t \cos k x\). In the equation, quantity \(\dfrac{\omega}{k}\) represents
1 The speed of either of the component waves
2 A quantity that is independent of the properties of the string
3 The transeverse speed of the particles of the string
4 The speed of the standing wave
Explanation:
Equation of the component waves are; \(y=A \sin (\omega t-k x) \text { and } y=A \sin (\omega t+k x)\) For both waves the speed of component waves is \(\dfrac{\omega}{k}\)
PHXI15:WAVES
355124
A stretched string is vibrating in the second overtone, then the number of nodes and antinodes between the ends of the string are respectively
1 3 and 2
2 2 and 3
3 4 and 3
4 3 and 4
Explanation:
The vibrations of second overtone (or third harmonic) of a stretched string is shown in the figure.
From figure, number of nodes and antinodes will be 4 and 3 (when the two ends are also included).
KCET - 2015
PHXI15:WAVES
355125
One end of string, in which a tension in maintained, is fixed to a rigid support and the free end is made to oscillate transversely by a vibrator at a frequency \(f\). Then maximum velocity of propagation of wave in the string will be
1 \(2f\,l\)
2 \(4f\,l\)
3 \(6f\,l\)
4 \(f\,l\)
Explanation:
wavelength is maximum for fundamental mode \(\dfrac{\lambda}{4}=l \Rightarrow \lambda_{\max }=4 l\) \(\therefore \quad v_{\text {max }}=f \lambda_{\text {max }}=4 f l \text {. }\)
