HARD
KVPY Aptitude Test - Stream SX
IMPORTANT
Earn 100

Instead of angular momentum quantization a student posits that energy is quantized as and is a positive integer. Which of the following options is correct?
(a)The radius of the electron orbit is
(b)The speed of the electron is
(c)The angular speed of the electron is
(d)The angular momentum of the electron is

50% studentsanswered this correctly

Important Questions on Atomic Physics
HARD
KVPY Aptitude Test - Stream SX
IMPORTANT
In a muonic atom, a muon of mass of times of that of electron and same charge is bound to the proton. The wavelengths of its Balmer series are in the range of

HARD
KVPY Aptitude Test - Stream SX
IMPORTANT
We consider the Thomson model of the hydrogen atom in which the proton charge is distributed uniformly over a spherical volume of radius . Applying the Bohr condition in this model, the ground state energy (in ) of the electron will be close to

HARD
KVPY Aptitude Test - Stream SX
IMPORTANT
A photon falls through a height of through the earth's gravitational field. To calculate the change in its frequency, take its mass to be . The fractional change in frequency is close to

MEDIUM
KVPY Aptitude Test - Stream SX
IMPORTANT
A donor atom in a semiconductor has a loosely bound electron. The orbit of this electron is considerably affected by the semiconductor material but behaves in many ways like an electron orbiting a hydrogen nucleus. Given that the electron has an effective mass of , where is mass of the free electron and the space in which it moves has a permittivity then the radius of the electron's lowermost energy orbit will be close to (take, the Bohr radius of the hydrogen atom is )

EASY
KVPY Aptitude Test - Stream SX
IMPORTANT
The magnitude of acceleration of the electron in the orbit of hydrogen atom is and that of singly ionised helium atom is . The ratio is,

EASY
KVPY Aptitude Test - Stream SX
IMPORTANT
A particle of mass, moves around the origin in a potential, , where is the distance from the origin. Applying the Bohr model in this case, the radius of the particle in its orbit in terms of is,

MEDIUM
KVPY Aptitude Test - Stream SX
IMPORTANT
To calculate the size of a hydrogen anion using the Bohr model, we assume that its two electrons move in an orbit such that they are always on diametrically opposite sides of the nucleus. With each electron having the angular momentum, and taking electron interaction into account the radius of the orbit in terms of the Bohr radius of a hydrogen atom is

EASY
KVPY Aptitude Test - Stream SX
IMPORTANT
Some wavelengths observed in the emission spectrum of neutral hydrogen gas are . If broad band light is passing through neutral hydrogen gas at room temperature, then the wavelength that will not be absorbed strongly is,
