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A radioactive nucleus (initial mass number A and atomic number Z) emits 3α-particles and 2 positrons. The ratio of the number of neutrons to that of protons in the final nucleus will be

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Important Questions on Modern Physics

MEDIUM
JEE Advanced
IMPORTANT
The binding energy per nucleon for the parent nucleus is E1 and that for the daughter nuclei is E2. Then,
MEDIUM
JEE Advanced
IMPORTANT
A nucleus of mass M+Δm is at rest and, decays into two daughter nuclei of equal mass M2 each. Speed of light is c. 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=0.53 A)
MEDIUM
JEE Advanced
IMPORTANT
According to Einstein's photoelectric equation, the graph of K.E. of the photoelectron emitted from the metal versus the frequency of the incident radiation gives a straight line graph, whose slope
MEDIUM
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
ν1 is the frequency of the series limit of the Lyman series, ν2 is the frequency of the first line of the Lyman series and ν3 is the frequency of the series limit of the Balmer series. Then,
MEDIUM
JEE Advanced
IMPORTANT
A radioactive sample S1 having the activity A1 has twice the number of nuclei as another sample S2 of activity A2. If A2=2A1, then the ratio of the half-life of S1 to the half-life of S2 is