JEE Advanced Mi...

The wavelengths of K_α x-rays of two metals ‘A’ and ‘B’ are  respectively, where ‘R’ is Rydberg constant. The number of elements lying between ‘A’ and ‘B’ according to their atomic numbers is

A free neutron decays to a proton but a free proton does not decay to a neutron out side nucleus. This is beacuse

An α a particle with a kinetic energy of 2.1 eV makes a head on collision with a hydrogen atom moving towards it with a kinetic energy of 8.4 eV. The collision.

A monochromatic radiation of wavelength λ is incident on a sample containing He+. As a result the Helium sample starts radiating. A part of this radiation is allowed to pass through a sample of atomic hydrogen gas in ground state. It is noticed that the hydrogen sample has started emitting electrons whose maximum Kinetic Energy is 37.4 eV. (hc = 12400 eV Å) Then λ is -

The work function of a certain metal is  When a monochromatic light of wavelength λ < λ0 is incident such that the plate gains a total power P. If the efficiency of photoelectric emission is η% and all the emitted photoelectrons are captured by a hollow conducting sphere of radius R already charged to potential V, then neglecting any interaction between plate and the sphere, expression of potantial of the sphere at time t is :

The Kinetic energy must an α-particle possess to split a deutron H² whose binding energy is E_b = 2.2 MeV -

Assuming that about 20 MeV of energy is released per fusion reaction, ₁H² + ₁H³ → ₀n¹ + ₂He⁴, the mass of ₁H² consumed per day in a future fusion reactor of power 1 MW would be approximately

Nuclei of radioactive element A are produced at rate ' t² ' at any time t. The element A has decay constant λ. Let N be the number of nuclei of element A at any time t. At time t = t₀,  is minimum. Then the number of nuclei of element A at time t = t₀ is

If nuclear charge is doubled in a hydrogen like atom, which of the following statement(s) are consistent with Bohr’s theory?

Ionization energy of a hydrogen-like ion B is less than that of hydrogen like ion A. Let r, u, E and L represent the radius of the orbit, speed of the electron, energy of the atom and orbital angular momentum of the electron respectively. In ground state