Question types

Model Paper 3 question types

77 questions across 4 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

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4
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Sample Questions

Model Paper 3 questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Suppose a pure Si crystal has $5 \times 10^{28}$ atoms $m ^{-3}$. It is doped by 1 ppm concentration of pentavalent As. Calculate the number of electrons and holes Given that $n_i=1.5 \times 10^{16} m^{-3}$.
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Two stable isotopes of lithium ${ }_3^6 Li$ and ${ }_3^7 Li$ have respective abundances of $75 \%$ and $92.5 \%$. These isotopes have masses $6.01512 u$ and $7.01600 u$, respectively Find the atomic mass of lithium.
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A nucleus with mass number $A =240$ and binding energy per nucleon $=7.6 MeV$ breaks into two fragments each of $A =120$ with binding energy per nucleon $= 8.5 MeV $. Calculate the released energy.
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(a) For what Kinetic energy of a neutron, will the associated de-Broglie wavelength be $1.40 \times 10^{-10} m$ ?
(b) Find the de-Broglie wavelength of a neutron, in thermal equilibrium with matter, having an average Kinetic energy of $\frac{3}{2} K_{ a } T$ at 300 K . $\left[ K _{ B }=1.38 \times 10^{-23}\right.$ SI unit $]$
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A beam of light consisting of two wavelengths 6000 Å  and 4000 Å, is used to obtain interference fringes in a Young's double-slit experiment.
(a) Find the distance of the third dark fringe on the screen from the central maximum for wavelength 6000 Å .
(b) What is the least distance from the central maximum where bright fringes due to both the wavelengths coincide?
(Distance between two slits $=0.1 mm$. Take $D =100 cm$ )
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Q 103 Marks Question3 Marks
(a) The radii of curvature of the faces of a double convex lens are 10 cm and 15 cm . Its focal length is 12 cm . What is the refractive index of glass?
(b) A convex lens has 15 cm focal length in air. What is focal length in water? (Refractive index of air-water 1.33 and Refractive index of air-glass $=1.5$ )
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Derive $i+c= A +\delta$ for a triangular glass prism. Also write the condition for the angle of minimum devintion. Derive the formula for the refractive index of the material of the prism.
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In the case of an AC voltage applied to an inductor, derive formula for an electric current $i$ at time $t$. Also, derive an expression for an average power over a complete cycle.
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What is electrical resistance $( R )$ ? On which factors resistance value depends? Explain how resistance of conductor depends on its dimension property of a conductor.
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Q 16M.C.Q (1 Marks)1 Mark
Width of a slit is a. The focal length of the lens kept just along with the slit is $f$. The light of wavelength $\lambda$ is made normally incident on the slit. The size of the central maximum on the screen is __________ .
  • A
    $\frac{a}{f \lambda}$
  • B
    $\frac{f a}{\lambda}$
  • C
    $\frac{\lambda a}{f}$
  • $\frac{f \lambda}{a}$

Answer: D.

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Q 17M.C.Q (1 Marks)1 Mark
Which one of the following sentence is false?
  • A
    Interference fringes are of equal thickness
  • B
    The central diffraction fringe is of maximum intensity
  • C
    All bright interference fringes are of equal intensities
  • Diffraction fringes are of equal thickness

Answer: D.

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Q 18M.C.Q (1 Marks)1 Mark
Unpolarised light is incident on a plane glass surface. For an angle of incidence __________ the reflected and refracted rays are perpendicular to each other?
Refractive index of glass $=1.5$.
  • $37^{\circ}$
  • B
    $57^{\circ}$
  • C
    $47^{\circ}$
  • D
    $67^{\circ}$

Answer: A.

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Q 19M.C.Q (1 Marks)1 Mark
The number of interference fringes occurring in the broad diffraction peak depends on the ratio __________ .
Where $d =$ distance between two slits
$a=$ width of slit
  • $\frac{d}{a}$
  • B
    $\frac{d^2}{a}$
  • C
    $\frac{a}{d}$
  • D
    $\frac{a^2}{d}$

Answer: A.

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