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A radioactive nucleus (initial mass number and atomic number ) emits -particles and positrons. The ratio of the number of neutrons to that of protons in the final nucleus will be
(a)
(b)
(c)
(d)

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Important Questions on Modern Physics
MEDIUM
JEE Advanced
IMPORTANT
The binding energy per nucleon for the parent nucleus is and that for the daughter nuclei is . Then,

MEDIUM
JEE Advanced
IMPORTANT
A nucleus of mass is at rest and, decays into two daughter nuclei of equal mass each. Speed of light is . The speed of daughter nuclei is

MEDIUM
JEE Advanced
IMPORTANT
The de-Broglie wavelength of the electron in the ground state of the hydrogen atom is (radius of the first orbit of the hydrogen atom)

MEDIUM
JEE Advanced
IMPORTANT
According to Einstein's photoelectric equation, the graph of of the photoelectron emitted from the metal versus the frequency of the incident radiation gives a straight line graph, whose slope

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JEE Advanced
IMPORTANT
An electron is moving in an orbit of a hydrogen atom from which there can be a maximum of six transitions. An electron is moving in an orbit of another hydrogen atom from which there can be a maximum of three transitions. The ratio of the velocities of the electron in these two orbits is

MEDIUM
JEE Advanced
IMPORTANT
is the frequency of the series limit of the Lyman series, is the frequency of the first line of the Lyman series and is the frequency of the series limit of the Balmer series. Then,

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JEE Advanced
IMPORTANT
The spectrum of an oil flame is an example for

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JEE Advanced
IMPORTANT
A radioactive sample having the activity has twice the number of nuclei as another sample of activity . If , then the ratio of the half-life of to the half-life of is
