A student shouts facing a tall building 176 meters away and hears the echo after 1 second. What is the speed of sound in air based on this observation?
352 m/s
Between the shout and the echo, the sound wave travels from the student to the building and back, covering twice the wall distance.
Total distance travelled \(= 2 \times 176 = 352\) m in a time interval of \(1\) s.
Speed of sound \(= \dfrac{\text{total distance}}{\text{time}} = \dfrac{352}{1} = 352\) m/s.
Hence, the observed speed of sound in air is 352 m/s.
Which of the following statements is/are true about the loudness and softness of a sound wave?
(i) A loud sound has less amplitude as compared to a soft sound.
(ii) A loud sound has more energy associated with it as compared to a soft sound.
(iii) The loudness of a sound wave is the measure of the response of the ear to the sound.
Which of the following sounds has the lowest pitch?
Which of the following changes will most likely reduce the clarity of an echo in a large room?
If two sounds have the same frequency but different amplitudes, what will be different?
Which of the following statements best explains why sound can NOT travel through a vacuum?
Which of the following actions would most effectively reduce reverberation in a large auditorium?
When a tuning fork vibrates and produces sound, what type of waves is created in the air?
Which of the following conditions is necessary to hear an echo clearly?
If a musical instrument produces a sound with a frequency of 200 Hz, which of the following frequencies will produce a sound of higher pitch than this instrument?
A group of engineers is tasked with designing a lecture hall for maximum speech intelligibility. Which combination of features should they prioritize to minimize reverberation?
Which of the following is related to Doppler effect?
The position of a particle in one dimension changes in discrete steps. With each step it moves to the right, however, the length of the step is drawn from a uniform distribution from the interval \(\left[ {{\rm{λ }}\,{\rm{ - }}\,\frac{{\rm{1}}}{{\rm{2}}}{\rm{w,}}\,{\rm{λ }}\,{\rm{ + }}\,\frac{{\rm{1}}}{{\rm{2}}}{\rm{w}}} \right] \) , where λ and w are positive constants. If X denotes the distance from the starting point after N steps, the standard deviation \(\sqrt {\left\langle {{X^2}} \right\rangle \, - {{\left\langle X \right\rangle }^2}} \) for large values of N is
A particle of mass m in one dimension is in the ground state of a simple harmonic oscillator described by a Hamiltonian \(\frac{{{{\rm{P}}^{\rm{2}}}}}{{{\rm{2m}}}}{\rm{ + }}\frac{{\rm{1}}}{{\rm{2}}}{\rm{m}}{{\rm{\omega }}^{\rm{2}}}{{\rm{x}}^{\rm{2}}} \) in the standard notation. An impulsive force at time t = 0 suddenly imparts a momentum P0 = \(\sqrt {{\rm{hm\omega }}} \) to it. The probability that the particle remains in the original ground state is
In an elastic scattering process at an energy E, the phase shifts satisfy δ 0 ≈ 30°, δ 1≈ 10°, while the other phase shifts are zero. The polar angle at which the differential cross-section peaks is closest to