The amplitude of a wave disturbance propagating in the positive x-direction is given by y =1/ (1 + x2) at time t = 0 and by y = 1/[1 + (x – 1)2 at t = 2 seconds, where x and y are in meters. The shape of the wave disturbance does not change during the propagation. The velocity of the wave is
An accurate and reliable audio oscillator is used to standardize a tuning fork marked as 512 Hz. When the oscillator reading is 514, two beats are heard per second. When the oscillator reading is 510, the beat frequency is 6 Hz. The frequency of the tuning fork is
A sound wave of wavelength λ travels towards the right horizontally with a velocity V. It strikes and reflects from a vertical plane surface, travelling at a speed v towards the left. The number of positive crests striking in a time interval of three seconds on the wall is
Two waves represented by y1 = 10 Sin (2000 πt) and y2 = 10 sin (2000 πt + π/2) are superposed at any point at a particular instant. The resultant amplitude is
When two simple harmonic motions of same periods, same amplitude, having phase of 3π/2, and at right angles to each other are super imposed, the resultant wave form is a
A line source emits a cylindrical wave. If the medium absorbs no energy, the amplitude will vary with distance r from the source as proportional to
A transverse wave is described by the equation y = y0 sin 2π(ft – x/a). The maximum particle velocity is equal to four times the wave velocity if a is equal to (a wavelength )
The amplitude of a wave disturbance propagating in the positive x-direction is given by y =1/ (1 + x2) at time t = 0 and by y = 1/[1 + (x – 1)2 at t = 2 seconds, where x and y are in meters. The shape of the wave disturbance does not change during the propagation. The velocity of the wave is
An accurate and reliable audio oscillator is used to standardize a tuning fork marked as 512 Hz. When the oscillator reading is 514, two beats are heard per second. When the oscillator reading is 510, the beat frequency is 6 Hz. The frequency of the tuning fork is
Find the de Broglie wavelength of Earth. Mass of Earth is 6 × 1024 Mean orbital radius of Earth around Sun is 150 × 106 km
An electron is moving with a velocity of c/10. The de-Broglie wavelength associated with it will be -
The velocity at which the mass of a particle becomes twice its rest mass will be
The wavelength of a neutron with energy 1 eV is closest to –
De Broglie wavelength of 05 eV thermal neutron is-
An electron of mass m and charge e initially at rest gets accelerated by a constant electric field E. The negative rate of change of De-Broglie wavelength of this electron at time t is -
A photon of frequency v has a momentum associated with it. If c is the velocity of light, this momentum is -
The energy of an electron of de-Broglie wavelength 1Å is -
If the De –Broglie wavelength of an electron in first Bohr's orbit be λ then the minimum radial distance between the electrons in the first and second Bohr's orbit is –
An electron is accelerated through a potential difference of 1000 volt. The velocity acquired by the electron is -
A proton and an α-particle have K.E. in the ratio of 16 : 1. The ratio of de-Broglie wavelengths associated with them is -
For a given K.E. which of the following has smallest de-Broglie wavelength?
A particle of mass M at rest decays into two masses m1 and m2 with non-zero velocities. The ratio of de Broglie wavelengths of the particles λ1/λ2 is -
The de Broglie wavelength is proportional to
The value of de Broglie wavelength of an electron moving with a speed of 6.6 × 105ms–1 is approximately -
Neglecting variation of mass with velocity, the wavelengths associated with an electron having a kinetic energy E is proportional to