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All questions of IIT JAM Physics Mock Tests for Physics Exam

If the wave length of k line silicon (z = 47) is 0.57 Å then the value of wavelength for uranium (z = 92) is
  • a)
    2.28 Å
  • b)
    1.28 Å
  • c)
    2.53 Å
  • d)
    0.146 Å
Correct answer is option 'D'. Can you explain this answer?

Vedika Singh answered
The wave length of k∝ line of an element is inversely proportional to its atomic number, or the number of protons in the element's nucleus. This means that as the atomic number of an element increases, the wave length of its k∝ line decreases. Therefore, to find the wave length of the k∝ line of an element with a given atomic number, you can use the following formula:
wave length = constant / atomic number
In this case, the wave length of the k∝ line of silicon (z = 47) is 0.57 Å, and the atomic number of uranium (z = 92) is greater than that of silicon. Using the formula above, we can calculate the wave length of the k∝ line of uranium as follows:
wave length = 0.57 Å / 92 wave length = 0.146 Å
Thus, the correct answer is 0.146 Å.

When a fast moving neutron strikes a proton at rest. Which of the following are correct.
  • a)
    The collision between a neutron and a proton is perfectly elastic.
  • b)
    The collision between a neutron and a proton is elastic.
  • c)
    Neutron transfers almost whole of its K.E to proton.
  • d)
    Neutrons will not transfer any energy to proton.
Correct answer is option 'A,C'. Can you explain this answer?

Vedika Singh answered
The collision between a neutron and a proton is perfectly elastic. In a perfectly elastic collision, the two colliding particles interchange their velocities, if their masses are equal.
Since proton and neutron have almost equal masses , they interchange their velocities. Thus practically neutron comes to rest and proton moves with the velocity of neutron. Hence neutron transfers almost whole of its K.E. to proton.

The critical angle of light in a certain substance is 450. What is the polarizing angle?
  • a)
    540
  • b)
    450
  • c)
    600
  • d)
    370
Correct answer is option 'A'. Can you explain this answer?

Arghya answered
The incident light is moving in the denser medium. If c be the critical angle, then we have 
where μ is the refractive index of the denser medium. Here c = 450.

If p be the polarising angle, then by Brewster's law, we have tan p = μ

If A body initially at rest ,is acted upon by an external force which is constant in magnitude.The gain in kinetic energy of the body at a given instant
  • a)
    is directly proportional to the distance covered by it.
  • b)
    is directly proportional to the time elapsed.
  • c)
    is dependent on the time elapsed.
  • d)
    is independent on the time elapsed.
Correct answer is option 'A,C'. Can you explain this answer?

Vedika Singh answered
Gain in kinetic energy by the particle is given by workdone by it from moving point x1, to x2.Thus , the gain in 
Now let force constant is k. Then kinetic energy 
Thus K E α (x2-x1) in this relation it is clear that the K.E is directly proportional to the distance covered by it .

A cylinder of 1 kg mass and 0.02 m diameter left at the top of an inclined plane of height 1 m rolls down without slipping. Find the velocity (m/sec) of centre of mass of cylinder on reaching the bottom of inclined plane ___ .
    Correct answer is '3.65'. Can you explain this answer?

    Vedika Singh answered
    3.6 to 3.7
    The kinetic energy of cylinder when it reaches the bottom = potential energy of the cylinder at the to p = mgh = 1 * 9.8 * 1 = 9.8 J 
    Kinetic energy KE = KE of translation + KE of rotation

    Kinetic energy at bottom = 9.8 J

    An electromagnetic wave propagates through a non-magnetic medium which has two parameters. These are dielectric constant, ε and refractive index n. Which relations are incorrect?
    • a)
      ε2 = n
    • b)
      √ε = n
    • c)
      ε = Kn, where K is constant
    • d)
      ε + n = 1
    Correct answer is option 'A,C,D'. Can you explain this answer?

    Vedika Singh answered
    In an Electromagnetic wave is propagated through a non - conducting magnetic medium of dielectric constant ε & of refracting index n then they are related as refractive index (n): -

    then incorrect options are 

    Consider the following statements associated with the basic properties of conductors & choose the correct statements:-
    • a)
      The net charge density in the interior is zero.
    • b)
      While considering the field boundary conditions, the tangential component of electric field is continuous across the boundary between two dielectrics.
    • c)
      The dielectric material is in a state of compression.
    • d)
      The discontinuity in the normal component of the flux density at a dielectric - conductor boundary is equal to the surface charge density on the conductor.
    Correct answer is option 'A,B,C,D'. Can you explain this answer?

    Vedika Singh answered
    (i) The resultant field inside the ideal conductor is zero.
    (ii) The tangential component of E.F at the boundary are discontinuous by the surface current density, the surface current flow only in high conductivity media ; therefore (ii) is correct.
    (iii) Because of Electrostriction effect the dielectric material be a state of compression.
    (iv) The displacement flux densities normal component at the boundary are discontinuous by surface charge density.

    Which of the following statement(s)related toBrownian motion is/are incorrect?
    • a)
      It is result of combined effect of chemical electrical and gravitational forces.
    • b)
      Brownian speed increases if the vessels containing gas is shaken violently.
    • c)
      Brownian motion is faster if the viscosity is low.
    • d)
      Brownian speed increases if the pressure difference between particles and points of a container is increased
    Correct answer is option 'A,B,C'. Can you explain this answer?

    Vedika Singh answered
    To and fro motion of colloidal particles in the solution is called Brownian motion.The size of the particles in colloidal solution is of the order of 104 em.This is a chemical and gravitational phenomenon not electrical phenomenon.Brownian motion is independent of the motion of vessel containing gas Displacement is Brownian motion is given by

    Where η is viscosity.Thus .Brownian motion is inversely proportional to η hence Brownian motion increase on decreasing viscosity.

    Which of the following statements is/are correct:-
    • a)
      Mass and energy of a moving object are dependent entities.
    • b)
      Massless particle can exists only if they move with the speed of light.
    • c)
      The relative velocity of two photons approaching each other is equal to the velocity of light.
    • d)
      Mass and energy of a moving object are independent entities.
    Correct answer is option 'A,B,C'. Can you explain this answer?

    Vedika Singh answered
    (A) If the object is moving its total energy is E = mc2
    So, mass and energy of an moving object are dependant entities. When mass is being created or destroyed an equivalent amount of energy Simultaneously vanished or created and vice versa.
    (B) We know that 

    That means the speed of a massless particle is always equals to the speed of light. Massless particle can exists only if they move with the speed of light. (C) we know that inverse lorentz transformation are


    So, the relative velocity of two photons approaching each other is equal to the velocity of light.

    Consider the following in respect of compton scattering and zeeman effect, which of the following statement(s) is/are incorrect?
    • a)
      Compton scattering formula holds less and less rigorously as we go towards longer wavelengths.
    • b)
      collision between a photon and an electron is inelastic
    • c)
      Each energy level in the atom is split into just three level which are equally spaced 
    • d)
      The spacing between split levels is directly proportional to the applied magnetic field.
    Correct answer is option 'A,B,C'. Can you explain this answer?

    Vedika Singh answered
    Compton scattering formula holds less and less rigorous to go towards longer wavelength but it has shorter wavelength.collision between photons is inelastic but it is elastic in nature . when an atom is placed in external magnetic field the spectral lines it emits are split into several polarized components.This effect of magnetic field on the atomic spectral lines is called zeeman effect.
    A singlet spectral line viewed normal to the field is split into three plane- polarised components, a central unshift line with the electric vector vibrating parallel to the field and two other lines equally displaced one on either side with electric vector perpendicular to the field.

    How many lines per centimetre are there in a plane transmission granting which gives 1st order of light of wavelength 6000  at angle of diffraction 300?
    • a)
      8000 lines/cm
    • b)
      8333 lines/cm
    • c)
      8200 lines/cm
    • d)
      8433 lines/cm
    Correct answer is option 'B'. Can you explain this answer?

    Vedika Singh answered
    The plane grating equation is,



    ∴ Grating element,

    Since the getting element is equal to the reciprocal of the number of lines per cm. Therefore, number of lines per cm

    Hence, the maximum number of orders visible in the spectrum are 19.

    The eiqen values and eigen vectors of the matrix  are
    • a)
      6,1 and 
    • b)
      2 ,5 and 
    • c)
      6,1 and 
    • d)
      2,5 and 
    Correct answer is option 'A'. Can you explain this answer?

    Vedika Singh answered
    The characteristic equation is 

    λ = 1,6
    Eigen vector corresponding to the eigen value λ = 1 by putting λ = 1 ,the matrix becomes

    ⇒ X = K, V= -K
    Eigen vector x1 is  
    Now again Eigen vector corresponding to the eigenvalue λ = 6, By putting λ = 6

    If the ice on the polar caps of the earth melts then which of the following statement is/are correct:-
    • a)
      The moment of inertia of the earth about its own axis, increases
    • b)
      Angular momentum is conserved
    • c)
      The angular velocity of earth about its own axis decreases
    • d)
      Duration of the day will increase.
    Correct answer is option 'A,B,C,D'. Can you explain this answer?

    Vedika Singh answered
    If the ice on the polar caps of the earth melts, the water so formed will spread on the surface of earth . This increases the moment of inertia of the earth about its own axis due to change in the distribution of mass of the particles of water going away from the axis of rotation. To conseive angular momentum angular velocity of earth about its own axis will decrease. As 
    Hence due to decrease in the value of ω, the duration of the day will increase.

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