Part-4 Waves Hard

If the de-Broglie wavelength for a proton and for a α-particle are equal, then the ratio of their velocities will be -

De-Broglie wavelength of an electron moving with velocity 10⁷ m/s -

A small ball is projected with initial speed u and at an angle θ with horizontal from ground. The de-Broglie wavelength of ball at the moment its velocity vector becomes perpendicular to initial velocity vector is -

The speed of an electron having a wavelength of 10^–10 m is -

The de Broglie wavelength of a particle is approximately the same as that of a photon with the same energy -

A proton, a deutron and an alpha particle are accelerated thorough potentials of V, 2V and 4V respectively. Their velocities will bear a ratio -

For a given speed, which of the following has the shortest de-Broglie wavelength?

A proton and anα-particle are accelerated through the same potential difference. The ratio of de-Broglie wavelength of the proton to that of the α-particle will be

An electron is accelerated by a potential difference of 1000 volt. Its velocity will be

The kinetic energy of the electron is E when the incident wavelength is λ. To increase the K.E. of the electron to 2E, the incident wavelength must be

If the de-Broglie waves associated with each of the following particles are to have the same wavelength, which particle must have the smallest velocity?

Monochromatic light of frequency n₁ radiates a photo cell & the stopping potential is found to be V₁. What is the new stopping potential of the cell if it is radiated by monochromatic light of frequency n₂ ?

Two particles of masses m & 2m have equal kinetic energies. Their de-Broglie wavelengths are in ratio of -

Two electron are moving with same speed. One enter a region of uniform electric field along the direction of electric field while other enter a region of uniform magnetic field. After some time if the de-Broglie wavelength of the two electrons are respectively l₁&l₂ then -

The equation of stationary wave is

y = 4sin (πX/15) cos (96πt). The distance between a node and its next antinode is -

Equation of wave traveling on string is given by y = A sin (kx – ωt). It is reflected at x = π/k.

Equation of reflected wave will be –

The speed of a transverse wave in an elastic string is v₀. If the tension in the string is reduced to half, then the speed of the wave is given by -

The equation for the displacement of a stretched string is given by :

y = 4 sin 2π(T/0.02-x/100)

Where y and x are in cm and t in sec. The

(i) Frequency (ii) Velocity of the wave

(iii) Maximum particle velocity are -

When two waves of almost equal frequencies

n₁ and n₂ are produced simultaneously, then the time interval between successive maxima is -