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M.C.Q (1 Marks)

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Question 11 Mark
In producing X-rays a beam of electrons accelerated by a potential difference V is made to strike a metal target. For what value of V, X-rays will have the lowest wavelength of 0.3094 Å (a) 10 kV(b) 20 kV(c) 30 kV (d) 40 kV
       
Answer
(d) 40 kV
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MCQ 21 Mark
If the cathode$-$anode potential difference in an $X-$ray tube be $10^5 V,$ then the maximum energy of $X-$ray photon can be
  • A
    $10^5\ J$
  • B
    $10^5 \ MeV$
  • $10^{–1}\ MeV$
  • D
    $10^5\ KeV$
Answer
Correct option: C.
$10^{–1}\ MeV$
$10^{–1}\ MeV$
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MCQ 31 Mark
In Thomson spectrograph experiment, four positive ions $P,Q,R$ and $S$ are situated on $Y-X$ curve a shown in the figure
  • The specific charge of $R$ and $S$ are same
  • B
    The masses of $P$ and $S$ are same
  • C
    The specific charges of $Q$ and $R$ are same
  • D
    The velocities of $R$ and $S$ are same
Answer
Correct option: A.
The specific charge of $R$ and $S$ are same
The specific charge of $R$ and $S$ are same
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MCQ 41 Mark
A point source of light is used in an experiment on photoelectric effect. Which of the following curves best represents the variation of photo current $(i)$ with distance $(d)$ of the source from the emitter
  • A
    $a$
  • B
    $b$
  • C
    $c$
  • $d$
Answer
Correct option: D.
$d$
$d$
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MCQ 51 Mark
The value of stopping potential in the following diagram
  • $-4 V$
  • B
    $-3 V$
  • C
    $-2 V$
  • D
    $-1 V$
Answer
Correct option: A.
$-4 V$
$-4 V$
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MCQ 61 Mark
The energy of an $X-$ray photon of wavelength $1.65 A \text { is }\left(h=6.6 \times 10^{-34} J-\sec, 1 eV=1.6 \times 10^{-19} J\right)$
  • A
    $3.5\ keV$
  • B
    $5.5\ keV$
  • $7.5\ keV$
  • D
    $9.5\ keV$
Answer
Correct option: C.
$7.5\ keV$
$7.5\ keV$
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MCQ 71 Mark
A photon of energy $8\ eV$ is incident on a metal surface of threshold frequency $1.6 \times 10^{15} \mathrm{~Hz}$, then the maximum kinetic energy of photoelectrons emitted is $\left(\mathrm{h}=6.6^{\times 10^{-34} \mathrm{Js}}\right)$
  • A
    $4.8\ eV$
  • B
    $4.8\ eV$
  • $1.4\ eV$
  • D
    $0.8\ eV$
Answer
Correct option: C.
$1.4\ eV$
$1.4\ eV$
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MCQ 91 Mark
The correct graph between the maximum energy of a photoelectron and the inverse of wavelength of the incident radiation is given by the curve
  • $A$
  • B
    $B$
  • C
    $C$
  • D
    None of the above
Answer
Correct option: A.
$A$
$A$
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MCQ 101 Mark
A proton, a deutron and an $a-$particle having the same momentum, enters a region of uniform electric field between the parallel plates of a capacitor. The electric field is perpendicular to the initial path of the particles. Then the ratio of deflections suffered by them is
       
  • $1 : 2 : 8$
  • B
    $1 : 2 : 4$
  • C
    $1 : 1 : 2$
  • D
    None of these
Answer
Correct option: A.
$1 : 2 : 8$
$1 : 2 : 8$
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MCQ 111 Mark
Which of the following figure represents the variation of particle momentum and the associated de$-$Broglie wavelength
  • A
  • B
  • C
Answer
Correct option: D.
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Question 121 Mark
The electrons are emitted in the photoelectric effect from a metal surface          (a) Only if the frequency of the incident radiation is above a certain threshold value(b) Only if the temperature of the surface is high(c) At a rate that is independent of the nature of the metal(d) With a maximum velocity proportional to the frequency of the incident radiation
 
 
 
 
Answer
(a) Only if the frequency of the incident radiation is above a certain threshold value
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MCQ 131 Mark
The stopping potential $(V_0)$ versus frequency $(n)$ plot of a substance is shown in figure the threshold wave length is
  • A
    $5 \times 10^{14} m$
  • $6000 \mathring A$
  • C
    $5000 \mathring A$
  • D
    Can not be estimated from given data
Answer
Correct option: B.
$6000 \mathring A$
$6000 \mathring A$
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Question 141 Mark
Assertion :   The threshold frequency of photoelectric effect supports the particle nature of sunlight.
Reason      : If frequency of incident light is less than the threshold frequency, electrons are not emitted from metal surface.(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.(c) If assertion is true but reason is false.(d) If the assertion and reason both are false.
 
 
 
 
Answer
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
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Question 151 Mark
Assertion   :   Photoelectric effect demonstrates the wave nature of light.
Reason       : The number of photoelectrons is proportional to the frequency of light.(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.(c) If assertion is true but reason is false.(d) If the assertion and reason both are false.
 
 
 
 
Answer
(d) If the assertion and reason both are false.
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MCQ 161 Mark
The wavelength of de$-$Broglie wave is $2\ mm,$ then its momentum is $(h = 6.63 \times 10^{–34} J-s)$
  • $3.315 \times 10^{–28} \ kg-m/s$
  • B
    $1.66 \times 10^{–28} \ kg-m/s$
  • C
    $4.97 \times 10^{–28} \ kg-m/s$
  • D
    $9.9 \times 10^{–28} \ kg-m/s$
Answer
Correct option: A.
$3.315 \times 10^{–28} \ kg-m/s$
$3.315 \times 10^{–28} \ kg-m/s$
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Question 171 Mark
Which of the following statements is correct(a) The current in a photocell increases with increasing frequency of light(b) The photocurrent is proportional to applied voltage(c) The photocurrent increases with increasing intensity of  light(d) The stopping potential increases with increasing intensity of incident light
 
 
 
 
Answer
(c) The photocurrent increases with increasing intensity of  light
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Question 181 Mark
When a point source of monochromatic light is at a distance of 0.2 m from a photoelectric cell, the cut-off voltage and the saturation current are 0.6 volt and 18 mA respectively. If the same source is placed 0.6 m away from the photoelectric cell, then(a) The stopping potential will be 0.2 V(b) The stopping potential will be 0.6 V(c) The saturation current will be 6 mA(d) The saturation current will be 18 mA
   
   
Answer
(b) The stopping potential will be 0.6 V
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MCQ 191 Mark
If a photon has velocity $c$ and frequency $n$, then which of following represents its wavelength
  • $\frac{ hc }{ E }$
  • B
    $\frac{ hv }{ c }$
  • C
    $\frac{h v}{c^2}$
  • D
    $hv$
Answer
Correct option: A.
$\frac{ hc }{ E }$
$\frac{ hc }{ E }$  
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Question 201 Mark
Stopping potential for photoelectrons(a) Does not depend on the frequency of the incident light(b) Does not depend upon the nature of the cathode material(c) Depends on both the frequency of the incident light and nature of the cathode material(d) Depends upon the intensity of the incident light
 
 
 
 
Answer
(c) Depends on both the frequency of the incident light and nature of the cathode material
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MCQ 211 Mark
$\mathrm{O}^{++}, \mathrm{C}^{+}, \mathrm{He}^{++}$ and $\mathrm{H}^{+}$ ions are projected on the photographic plate with same velocity in a mass spectrograph. Which one will strike farthest
  • A
    $\mathrm{O}^{++}$
  • $\mathrm{C}^{+}$
  • C
    $\mathrm{He}^{++}$
  • D
    $\mathrm{H}_2{ }^{+}$
Answer
Correct option: B.
$\mathrm{C}^{+}$
$\mathrm{C}^{+}$
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MCQ 221 Mark
A beam of light of wavelength $\lambda$ and with illumination $L$ falls on a clean surface of sodium. If $N$ photoelectrons are emitted each with kinetic energy $E,$ then
  • A
    $N \propto L$ and $E \propto L$
  • $N \propto L$ and $E \propto \frac{1}{\lambda}$
  • C
    $N \propto \lambda$ and $E \propto L$
  • D
    $N \propto \frac{1}{\lambda}$ and $E \propto \frac{1}{L}$
Answer
Correct option: B.
$N \propto L$ and $E \propto \frac{1}{\lambda}$
$N \propto L$ and $E \propto \frac{1}{\lambda}$
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MCQ 231 Mark
The minimum wavelength of the $X-$rays produced by electrons accelerated through a potential difference of $V$ volts is directly proportional to
  • A
    $\sqrt{V}$
  • B
    $v^2$
  • C
    $1 \sqrt{V}$
  • $1 / \mathrm{V}$
Answer
Correct option: D.
$1 / \mathrm{V}$
$1 / \mathrm{V}$
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Question 241 Mark
What determines the hardness of the X-rays obtained from the Coolige tube(a) Current in the filament(b) Pressure of air in the tube(c) Nature of target(d) Potential difference between cathode and target
 
 
 
 
Answer
(d) Potential difference between cathode and target
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Question 251 Mark
According to Mosley's law, the frequency of a spectral line in X-ray spectrum varies as(a) Atomic number of the element(b) Square of the atomic number of the element(c) Square root of the atomic number of the element(d) Fourth power of the atomic number of the element
 
 
 
 
Answer
(b) Square of the atomic number of the element
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MCQ 261 Mark
$X-$rays are produced in $X-$ray tube operating at a given accelerating voltage. The wavelength of the continuous $X-$rays has values from
  • A
    $0$ to $\infty$
  • $\lambda_{\text {min }}$ to $\infty$, where $\lambda_{\text {min }}>0$
  • C
    $0$ to $\lambda_{\text {max }}$ where
  • D
    $\lambda_{\text {min to }} \lambda_{\text {max }}$, where $0<\lambda_{\text {min }}<\lambda_{\text {max }}<\infty$
Answer
Correct option: B.
$\lambda_{\text {min }}$ to $\infty$, where $\lambda_{\text {min }}>0$
$\lambda_{\text {min }}$ to $\infty$, where $\lambda_{\text {min }}>0$
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Question 271 Mark
An electron beam in an X-ray tube is accelerated through a potential difference of 50000 volts. These are then made to fall on a tungsten target. The shortest wavelength of the X-ray emitted by the tube is(a) 2.5 Å (b) 0.25 nm(c) 0.25 cm(d) 0.025 nm
       
Answer
(d) 0.025 nm
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MCQ 281 Mark
The graph that correctly represents the relation of frequency $n$ of a particular characteristic $X-$ray with the atomic number $Z$ of the material is 
  • A
  • B
  • D
Answer
Correct option: C.
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Question 291 Mark
The structure of solid crystals is investigated by using (a) Cosmic rays(b) X-rays(c) Infrared radiations(d) γ -  rays
       
Answer
(b) X-rays
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Question 301 Mark
X-rays region lies between(a) Short radiowave and visible region(b) Visible and ultraviolet region(c) Gamma rays and ultraviolet region(d) Short radiowave and long radiowave
   
   
Answer
(c) Gamma rays and ultraviolet region
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Question 311 Mark
X-rays are produced due to (a) Break up of molecules          (b) Changing in atomic energy level(c) Changing in nuclear energy level(d) Radioactive disintegration
   
   
Answer
(b) Changing in atomic energy level
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Question 321 Mark
X-rays of which of the following wavelengths are hardest (a) 4 Å(b) 1 Å(c) 0.1 Å  (d) 2 Å
       
Answer
(c) 0.1 Å  
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Question 331 Mark
X-rays are known to be electromagnetic radiations. Therefore the X-ray photon has (a) Electric charge(b) Magnetic moment(c) Both electric charge and magnetic moment(d) Neither electric charge nor magnetic moment
 
 
 
 
Answer
(d) Neither electric charge nor magnetic moment
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Question 341 Mark
Which of the following is accompanied by the characteristic X-ray emission          (a) α -  particle emission(b) Electron emission(c) Positron emission(d) K–electron capture
   
   
Answer
(d) K–electron capture
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Question 351 Mark
Bragg’s law for X-rays is (a) d sin θ = 2n λ (b) 2dsin θ = n λ (c) n sin θ = 2 λ d (d) None of these
       
Answer
(b) 2dsin θ = n λ
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MCQ 361 Mark
A potential difference of $42,000$ volts is used in an $X-$ray tube to accelerate electrons. The maximum frequency of the $X-$radiations produced is $(1 \ eV=1.6 \times 10^{-19} \mathrm{~J}$ and $ \mathrm{h}=6.63 \left.\times 10^{-34} \mathrm{~J}-\mathrm{sec}\right)$
  • $10^{19} \mathrm{~Hz}$
  • B
    $10^{18} \mathrm{~Hz}$
  • C
    $10^{16} \mathrm{~Hz}$
  • D
    $10^{20} \mathrm{~Hz}$
Answer
Correct option: A.
$10^{19} \mathrm{~Hz}$
$10^{19} \mathrm{~Hz}$
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Question 371 Mark
The potential difference applied to an X-ray tube is increased. As a result, in the emitted radiation(a) The intensity increases(b) The minimum wavelength increases(c) The intensity decreases(d) The minimum wavelength decreases
 
 
 
 
Answer
(d) The minimum wavelength decreases
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MCQ 381 Mark
If $\lambda_1$ and $\lambda_2$ are the wavelengths of characteristic $X-$rays and gamma rays respectively, then the relation between them is
  • A
    $\lambda_1=\frac{1}{\lambda_2}$
  • B
    $\lambda_1=\lambda_2$
  • $\lambda_1>\lambda_2$
  • D
    $\lambda_1<\lambda_2$
Answer
Correct option: C.
$\lambda_1>\lambda_2$
$\lambda_1>\lambda_2$
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MCQ 391 Mark
An $X-$ray has a wavelength of $0.010 \mathring A$ . Its momentum is
  • A
    $2.126 \times 10^{–23} \ kg-m/\sec$
  • $6.626 \times 10^{-22} \ kg-m/\sec$
  • C
    $3.456 \times 20^{–25}kg-m/\sec$
  • D
    $3.313 \times 10^{–22} \ kg-m/\sec$
Answer
Correct option: B.
$6.626 \times 10^{-22} \ kg-m/\sec$
$6.626 \times 10^{-22} \ kg-m/sec$
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Question 401 Mark
X-rays can be used to study crystal structure, if the wavelength lies in the range(a) 2 Å to 0.1 Å(b) 10 Å to 5 Å(c) 50 Å to 10 Å(d) 100 Å to 50 Å
       
Answer
(a) 2 Å to 0.1 Å
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MCQ 411 Mark
From the figure describing photoelectric effect we may infer correctly that         
  • A
    $Na$ and $Al$ both have the same threshold frequency
  • Maximum kinetic energy for both the metals depend linearly on the frequency
  • C
    The stopping potentials are different for $Na$ and $Al$ for the same change in frequency
  • D
    $Al$ is a better photo sensitive material than $Na$
Answer
Correct option: B.
Maximum kinetic energy for both the metals depend linearly on the frequency
Maximum kinetic energy for both the metals depend linearly on the frequency
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MCQ 421 Mark
The log$-$log graph between the energy $E$ of an electron and its de$-$Broglie wavelength $\lambda$  will be
  • A
  • B
  • D
Answer
Correct option: C.
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MCQ 431 Mark
The curves $(a), (b) (c)$ and $(d)$ show the variation between the applied potential difference $(V)$ and the photoelectric current $(i),$ at two different intensities of light $(I_1 > I_2)$. In which figure is the correct variation shown 
  • A
  • C
  • D
Answer
Correct option: B.
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MCQ 441 Mark
According to Einstein's photoelectric equation, the graph between the kinetic energy of photoelectrons ejected and the frequency of incident radiation is
  • A
  • B
  • C
Answer
Correct option: D.
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MCQ 451 Mark
A particle of mass $M$ at rest decays into two particles of masses $m_1$ and $m_2,$ having non$-$zero velocities. The ratio of the de$-$Broglie wavelengths of the particles$,\lambda_1 / \lambda_2$ is
  • A
    $m_1 / m_2$
  • B
    $m_2 / m_1$
  • $1.0$
  • D
    $\sqrt{m_2} / \sqrt{m_1}$
Answer
Correct option: C.
$1.0$
$1.0$
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MCQ 461 Mark
The stopping potential $V$ for photoelectric emission from a metal surface is plotted along $Y-$axis and frequency n of incident light along $X-$axis. A straight line is obtained as shown. Planck's constant is given by
  • A
    Slope of the line
  • Product of slope on the line and charge on the electron
  • C
    Product of intercept along $Y-$axis and mass of the electron
  • D
    Product of Slope and mass of electron
Answer
Correct option: B.
Product of slope on the line and charge on the electron
Product of slope on the line and charge on the electron
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MCQ 471 Mark
An $X-$ray tube with a copper target emits $Cu K_\alpha$  line of wavelength $1.50 \mathring A .$ What should be the minimum voltage through which electrons are to be accelerated to produce this wavelength of $X$ rays $\left(h=6.63 \times 10^{-34} J-\sec, c=3 \times 10^8\ m / s\right)$
  • $8280 V$
  • B
    $828 V$
  • C
    $82800 V$
  • D
    $8.28 V$
Answer
Correct option: A.
$8280 V$
$8280 V$
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MCQ 481 Mark
$X-$rays are produced by accelerating electrons by voltage $V$ and let they strike a metal of atomic number $Z.$ The highest frequency of $X-$rays produced is proportional to
  • A
    $V$
  • B
    $Z$
  • C
    $(Z – 1)$
  • $(Z-1)^2$ 
Answer
Correct option: D.
$(Z-1)^2$ 
$(Z-1)^2$
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MCQ 491 Mark
An $X-$ray machine has an accelerating potential difference of $25,000$ volts. By calculation the shortest wavelength will be obtained as  $\left(\mathrm{h}=6.63 \times 10^{-34} \mathrm{~J}-\mathrm{sec} ; \mathrm{e}=1.6 \times 10^{-19}\right.$ coulomb $)$
  • A
    $0.25 \mathring A$
  • $0.50 \mathring A$
  • C
    $1.00 \mathring A$
  • D
    $2.50 \mathring A$
Answer
Correct option: B.
$0.50 \mathring A$
$0.50 \mathring A$
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MCQ 501 Mark
The wavelength of most energetic $X-$rays emitted when a metal target is bombarded by $40\ KeV$  electrons, is approximately  $\left( h =6.63 \times 10^{-34} J- sec , 1 eV =1.6 \times 10^{-19} J, c =3 \times 10^8 m / s \right)$
  • A
    $300 \mathring A$
  • B
    $10 \mathring A$
  • C
    $4 \mathring A$
  • $0.31 \mathring A$
Answer
Correct option: D.
$0.31 \mathring A$
$0.31 \mathring A$
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