Modern Physics
In a historical experiment to determine Planck’s constant, a metal surface was irradiated with light of different wavelengths. The emitted photoelectron energies were measured by applying a stopping potential. The relevant data for the wavelength (λ) of incident light and the corresponding stopping potential (V_{0}) are given below:
Given that c = 3 × 10^{8} ms^{–1 }and e = 1.6 × 10^{–19} C, Planck’s constant (in units of J s) found from such an experiment is
λ (μm) V_{0}(Volt) 
0.3 2.0 0.4 1.0 0.5 0.4 
Given that c = 3 × 10^{8} ms^{–1 }and e = 1.6 × 10^{–19} C, Planck’s constant (in units of J s) found from such an experiment is
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JEE Advanced 2016
Match the nuclear processes given in column I with the appropriate option(s) in column (II).
Column I  Column II  
(A)  Nuclear fusion  (P)  Absorption on thermal neutrons by ${}_{92}{}^{235}\mathrm{U}$ 
(B)  Fission in a nuclear reactor  (Q)  ${}_{27}{}^{60}\mathrm{Co}$ nucleus 
(C)  β−decay  (R)  Energy production in stars via hydrogen conversion to helium 
(D)  γray emission  (S)  Heavy water 
(T)  Neutrino emission 
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JEE Advanced 2015
Match List − I (Fundamental Experiment) with List − II (its conclusion) and select the correct option from the choices given below the list :
List − I  List − II  
(A)  FranckHertz Experiment.  (i)  Particle nature of light 
(B)  Photoelectric experiment.  (ii)  Discrete energy levels of atom 
(C)  DavisonGermer Experiment  (iii)  Wave nature of electron 
(iv)  Structure of atom 
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JEE Mains 2015
Match List I of the nuclear processes with List II containing parent nucleus and one of the end products of each process and then select the correct answer using the codes given below the lists:

List I 

List II 
P. 
Alpha decay 
1. 

Q. 
b^{+} decay 
2. 

R. 
Fission 
3. 

S. 
Proton emission 
4. 
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JEE Advanced 2013
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JEE Advanced 2012
For an electron orbiting in an orbit, its energy, velocity and radius of the the orbit is described as $E\propto \frac{{Z}^{a}}{{n}^{b}},V\propto \frac{{Z}^{a}}{{n}^{b}},R\propto \frac{{Z}^{a}}{{n}^{b}}$, where Z is atomic number and n is n^{th} orbit.
Which option correctly matches the columns?
Column 1  Column 2  Column 3  
E  (P)  a = –1  (A)  b = 2 
V  (Q)  a = 1  (B)  b = –2 
R  (R)  a = 2  (C)  b = 1 
Which option correctly matches the columns?
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JEE Advanced 0
For an electron orbiting in an orbit, its energy, velocity and radius of the the orbit is described as $E\propto \frac{{Z}^{a}}{{n}^{b}},V\propto \frac{{Z}^{a}}{{n}^{b}},R\propto \frac{{Z}^{a}}{{n}^{b}}$, where Z is atomic number and n is n^{th} orbit.
Which option correctly matches the columns?
Column 1  Column 2  Column 3  
E  (P)  a = –1  (A)  b = 2 
V  (Q)  a = 1  (B)  b = –2 
R  (R)  a = 2  (C)  b = 1 
Which option correctly matches the columns?
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JEE Advanced 0
For an electron orbiting in an orbit, its energy, velocity and radius of the the orbit is described as $E\propto \frac{{Z}^{a}}{{n}^{b}},V\propto \frac{{Z}^{a}}{{n}^{b}},R\propto \frac{{Z}^{a}}{{n}^{b}}$, where Z is atomic number and n is n^{th} orbit.
Which option correctly matches the columns?
Column 1  Column 2  Column 3  
E  (P)  a = –1  (A)  b = 2 
V  (Q)  a = 1  (B)  b = –2 
R  (R)  a = 2  (C)  b = 1 
Which option correctly matches the columns?
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JEE Advanced 0
Match the following
Column I  Column II  
a)  Intensity of incident light changes  p)  Saturation current changes 
b)  Target material changes  q)  Stopping potential changes 
c)  Frequency of incident light changes  r)  Time delay in emission of photoelectrons change 
d)  Potential difference between the emitter and collector changes  s)  K_{max} of emitted photoelectrons changes 
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JEE Advanced 0
At t = 0, ${\mathrm{N}}_{0}^{\text{'}}$ nuclei of a radioactive substance emit N' nuclei per second.
Match the following two columns.
Match the following two columns.
Column I  Column II  
a)  Number of nuclei after time $t=\frac{1}{\lambda}$  i)  ln (2) (N'o/N') 
b)  Halflife  ii)  N'o/N' 
c)  Decay constant λ  iii)  N'/e 
d)  Activity after time $t=\frac{1}{\lambda}$  iv)  None of these 
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JEE Advanced 0
For an electron orbiting in an orbit, its energy, velocity and radius of the orbit is described as:
$\mathrm{E}\propto \frac{{\mathrm{Z}}^{a}}{{n}^{b}},\nu \propto \frac{{\mathrm{Z}}^{a}}{{n}^{b}},\mathrm{R}\propto \frac{{\mathrm{Z}}^{a}}{{n}^{b}}$, where Z is atomic number and n is n^{th} orbit. (Assume Bohr's model to be applicable)
Which of the following options correctly matches the Column I and Column II?
$\mathrm{E}\propto \frac{{\mathrm{Z}}^{a}}{{n}^{b}},\nu \propto \frac{{\mathrm{Z}}^{a}}{{n}^{b}},\mathrm{R}\propto \frac{{\mathrm{Z}}^{a}}{{n}^{b}}$, where Z is atomic number and n is n^{th} orbit. (Assume Bohr's model to be applicable)
Column I  Column II  
(1)  E  (P)  a = –1, b = 2 
(2)  v  (Q)  a = 2, b = 2 
(3)  R  (R)  a = 1, b = 1 
(S)  a = –1, b = –2 
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JEE Advanced 0
Consider the following nuclear reaction:
${}_{1}{}^{2}\mathrm{H}+{}_{1}{}^{2}\mathrm{H}\to {}_{2}{}^{4}\mathrm{He}+Q$
The binding energies for the nuclei in the above reaction are given as:
What is the value of energy Q in the above reaction?
(Take mass of ${}_{1}{}^{2}\mathrm{H}$ and ${}_{2}{}^{4}\mathrm{He}$ as 2 a.m.u and 4 a.m.u., respectively)
${}_{1}{}^{2}\mathrm{H}+{}_{1}{}^{2}\mathrm{H}\to {}_{2}{}^{4}\mathrm{He}+Q$
The binding energies for the nuclei in the above reaction are given as:
Nucleus  Binding Energy (MeV per nucleon) 
${}_{1}{}^{2}\mathrm{H}$  x 
${}_{2}{}^{4}\mathrm{He}$  y 
What is the value of energy Q in the above reaction?
(Take mass of ${}_{1}{}^{2}\mathrm{H}$ and ${}_{2}{}^{4}\mathrm{He}$ as 2 a.m.u and 4 a.m.u., respectively)
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JEE Mains 0
A radioisotope may undergoes a radioactive decay and can forms an isotope that will also decays. Sequence of decays forms a radioactive decay series. In column I parent radioactive substance is given; In column II stable product is given and in column III, number of emitted particles are given,
Natural thorium series is
Column I  Column II  Column III  
A.  ${}_{90}{}^{232}\mathrm{X}$  I.  ${}_{83}{}^{209}\mathrm{Bi}$  P.  α = 7, β = 4 
B.  ${}_{93}{}^{237}\mathrm{X}$  II.  ${}_{82}{}^{208}\mathrm{Pb}$  Q.  α = 8, β = 5 
C.  ${}_{89}{}^{227}\mathrm{X}$  III.  ${}_{82}{}^{206}\mathrm{Pb}$  R.  α = 6, β = 4 
D.  ${}_{92}{}^{238}\mathrm{X}$  IV.  ${}_{82}{}^{207}\mathrm{Pb}$  S.  α = 8, β = 6 
Natural thorium series is
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JEE Advanced 0
A radioisotope may undergoes a radioactive decay and can forms an isotope that will also decays. Sequence of decays forms a radioactive decay series. In column I parent radioactive substance is given; In column II stable product is given and in column III, number of emitted particles are given,
Which of these is decay series for artificial neptunium?
Column I  Column II  Column III  
A.  ${}_{90}{}^{232}\mathrm{X}$  I.  ${}_{83}{}^{209}\mathrm{Bi}$  P.  α = 7, β = 4 
B.  ${}_{93}{}^{237}\mathrm{X}$  II.  ${}_{82}{}^{208}\mathrm{Pb}$  Q.  α = 8, β = 5 
C.  ${}_{89}{}^{227}\mathrm{X}$  III.  ${}_{82}{}^{206}\mathrm{Pb}$  R.  α = 6, β = 4 
D.  ${}_{92}{}^{238}\mathrm{X}$  IV.  ${}_{82}{}^{207}\mathrm{Pb}$  S.  α = 8, β = 6 
Which of these is decay series for artificial neptunium?
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JEE Advanced 0
A radioisotope may undergoes a radioactive decay and can forms an isotope that will also decays. Sequence of decays forms a radioactive decay series. In column I parent radioactive substance is given; In column II stable product is given and in column III, number of emitted particles are given,
Natural Actinium series is
Column I  Column II  Column III  
A.  ${}_{90}{}^{232}\mathrm{X}$  I.  ${}_{83}{}^{209}\mathrm{Bi}$  P.  α = 7, β = 4 
B.  ${}_{93}{}^{237}\mathrm{X}$  II.  ${}_{82}{}^{208}\mathrm{Pb}$  Q.  α = 8, β = 5 
C.  ${}_{89}{}^{227}\mathrm{X}$  III.  ${}_{82}{}^{206}\mathrm{Pb}$  R.  α = 6, β = 4 
D.  ${}_{92}{}^{238}\mathrm{X}$  IV.  ${}_{82}{}^{207}\mathrm{Pb}$  S.  α = 8, β = 6 
Natural Actinium series is
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JEE Advanced 0