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This mock test of Model Test Physics - 2017 for IIT JAM helps you for every IIT JAM entrance exam.
This contains 60 Multiple Choice Questions for IIT JAM Model Test Physics - 2017 (mcq) to study with solutions a complete question bank.
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students definitely take this Model Test Physics - 2017 exercise for a better result in the exam. You can find other Model Test Physics - 2017 extra questions,
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QUESTION: 1

A beam of protons enters a uniform magnetic field of 0.3 Tesla with a velocity of 4 x 10⁵ m/sec at an angle of 60° to the field. The radius of the helical path taken by the beam is

Solution:

v_{1} is responsible for horizontal motion of proton

v_{2} is responsible for circular motion of proton

Mass of proton = 1.67 * 10^{-27} Kg

Charge on proton= 1.6 * 10^{-19} C

∴ mv^{2}_{2} / r = qv_{2} B

r = mv_{2} /qB

= 1.67 * 10^{-27 * } 4 x 10⁵ / 1.6 * 10^{-19 * }0.3

= 0.013 m

Pitch of helix = v_{1} x T

Where T = 2πr / v_{2}

_{ } = 2πr / v sin θ

⇒ Pitch of helix = v cos θ x 2πr / v sin θ

= 2 πr cotθ

= 2x 3.14 x 0.013 x cot 60°

= 0.0471 m

= 47.1 mm

QUESTION: 2

The length of a metal wire is l_{1} when the tension in it is T_{1} and is l_{2} when the tension is T_{2}. The natural length of the wire is __________

Solution:

QUESTION: 3

A particle travelling along the positive X- axis with energy E incident on a potential barrier (V_{o}), which of the following represent the correct wave- form for V_{o} > E ?

Solution:

QUESTION: 4

A parallel beam of light travelling in water (refractive index = 4/3) is refracted by a spherical air bubble of radius 2mm situated in water. Assuming the light rays to be parallel, find the position of the final image ?

Solution:

QUESTION: 5

Which of the following matrices is hermitian ?

Solution:

QUESTION: 6

The normalized wave function of the hydrogen atom for 1st state is where being the Bohr radius. The expectation value of potential energy in this state is __

Solution:

QUESTION: 7

An AC source producing emf is connected in series with a capacitor and a resistor. The steady- state current in the circuit is found to be Which of the following depicts the correct relation?

Solution:

QUESTION: 8

A neutron moving with speed V makes a head on collision with a hydrogen atom in ground state kept at rest find the minimum kinetic energy of the neutron for which inelastic collision may take place if neutron and hydrogen atom travel with velocity V_{1} and V_{2} respectively after collision?

Solution:

QUESTION: 9

The correct curve between intensity of magnetisation (I) and magnetic field (H) for a ferromagnetic substance is given by.

Solution:

QUESTION: 10

Solution:

QUESTION: 11

The group velocity of electromagnetic waves moving with phase velocity c in a dispersive medium of refractive index n is given by :

Solution:

QUESTION: 12

The radii of Cs and Cl are r_{1} and r_{2} respectively the lattice constant if it crystallizes in bcc structure is :

Solution:

QUESTION: 13

The momentum of an electron (mass m) which has the same kinetic energy as its rest mass energy is:

Solution:

QUESTION: 14

If at t = 0 the particle is in state where re the ground and first excited states, respectively for a particle in a cubical box of size a, the state vector ψ(x, t), for t > 0 in the Schrodinger picture is:

Solution:

QUESTION: 15

then the average value of the position vector in the range – L/2 to + L/2 is given by

Solution:

QUESTION: 16

The electric field of a wave propagating in the x – y plane, with wave vector k^{→}

making an angleof 30^{o} with the x- axis is:

Solution:

QUESTION: 17

The correct plot for the equivalent one dimensional potential for an attractive inverse fourth law of force :

Solution:

QUESTION: 18

The Lorentz transformation are equivalent to rotation of axes in four dimensional space through an imaginary angle ______

Solution:

QUESTION: 19

The transistor gain of the circuit shown in the figure is given by ______

Solution:

QUESTION: 20

The total energy of an ionic solid is given by where a is the Madelung constant, r is the distance between the nearest neighbour in the crystal. If r0 is the equilibrium separation then the constant B is given by ______

Solution:

QUESTION: 21

In a simple cubic lattice d_{100} : d_{110} : d_{111} is _____

Solution:

QUESTION: 22

Order and degree of the differential equation

Solution:

QUESTION: 23

For an n- p- n transistor connected as shown in the figure. V_{BE} = 0.7V. Given that reverse saturation current of the junction at room temperature 300^{o} k is 10^{-13} A, the emitter current is ______

Solution:

QUESTION: 24

A two dimensional lattice has that basic vectors The basic vectors of the reciprocal lattice will be ____

Solution:

QUESTION: 25

XY is an infinite line charge distribution. P and Q are points as shown. The ratio of electric field at P and Q is :

Solution:

QUESTION: 26

Solution:

QUESTION: 27

A system consists of three spin half particles the Z- component of whose spin S_{Z}(1), S_{Z}(2) and S_{Z}(3) can take any value +1/2 and - 1/2. The total spin of the system is S_{Z} = S_{Z} (1) + S_{Z} (2) + S_{Z} (3). The total number of possible micro states for this system is _______

Solution:

QUESTION: 28

The output voltage of a certain op- amp appears as shown in figure in response to a step input,

The slew rate is :

Solution:

QUESTION: 29

The figure shown in the energy level diagram corresponds to a

Solution:

*Multiple options can be correct

QUESTION: 30

If we introduce the operators

AND

Then which relation is correct:-

Solution:

QUESTION: 31

Which of the following expressions is in the sum-of-products (SOP) form?

Solution:

*Multiple options can be correct

QUESTION: 32

What are the Eigen values of given matrix ?

Solution:

*Multiple options can be correct

QUESTION: 33

The independent solution of the equations :

Solution:

*Multiple options can be correct

QUESTION: 34

Two ideal batteried of emf V_{1} and V_{2} and three resistanced R_{1}, R_{2} and R_{3} are connected as shown in the figure. The current in resistance R_{1} would be zero if

Solution:

*Multiple options can be correct

QUESTION: 35

Which of these points are correct for stationary waves :

Solution:

*Multiple options can be correct

QUESTION: 36

Which of the following class of particles obey Pauli’s exclusion principle ?

Solution:

*Multiple options can be correct

QUESTION: 37

A body with charge q starts from rest and acquire a velocity n = 0.5 c. Then the new charge in it is/are :

Solution:

*Multiple options can be correct

QUESTION: 38

A particle of mass ‘m’ moves in a unidimensional potential field Which is (are) correct option :

Solution:

*Multiple options can be correct

QUESTION: 39

An identical collection of N two level systems is in thermal equilibrium at temperature T. Each System has a ground state energy –E and on excited state energy E.

What is (are) correct option for this state :

Solution:

*Answer can only contain numeric values

QUESTION: 40

If the operator is Hermition, then calculate the probability of finding the particle (Which satisfies Aˆ ψ( x ) = 0 ) in the region 1 £ x £ 1.

Solution:

*Answer can only contain numeric values

QUESTION: 41

Determine the output voltage of an op- amp for input voltages of V_{i1} = 150 µV, V_{i2} = 140 µV. The amplifier has differential gain of A_{2} = 4000 and value of CMRR is 100. (Answer in mV).

Solution:

*Answer can only contain numeric values

QUESTION: 42

In a material two energy have a wavelength separation of 1 µm. What would be the effective temperature when the upper level is twice as densely populated as the lower level ?

Solution:

*Answer can only contain numeric values

QUESTION: 43

Calculate the volume of the surface integral where s is the surface the sphere x^{2} + y^{2} + z^{2} = 4 and nÆ is the unit outward normal to the sphere and

Solution:

*Answer can only contain numeric values

QUESTION: 44

A certain gas obeys the equation of state PV = RT + bP.

Calculate ΔU, Q and W, when 1 mole of the gas expands reversibly at 300 K from 0.220 to 20.02 for isothermal case ?

Solution:

*Answer can only contain numeric values

QUESTION: 45

The wavelength of the L_{α} x- rays spectral line of platinum (atomic number 78) is 1.321 Å. An unknown substance units L_{α} x- rays of wavelength 4.174 Å. Calculate the atomic number of the unknown substance. Given b = 7.4 for La line ?

Solution:

*Answer can only contain numeric values

QUESTION: 46

Find the directional derivative of the point (2, 0, 3) is the direction of the outward normal to the sphere x^{2} + y^{2} + z^{2} = 14 at the points (3, 4, 0) ?

Solution:

*Answer can only contain numeric values

QUESTION: 47

Determine the d.c. bias voltage V_{CE} and the current IC for the voltage divider configuration as given in the figure.

Solution:

*Answer can only contain numeric values

QUESTION: 48

Calculate the free electron energy of which the first Bragg reflection occurs in 1- Dimensional crystal with atomic spacing 2.5 Å. (where v atomic space is 5 Å) (give the answer in eV).

Solution:

*Answer can only contain numeric values

QUESTION: 49

If the intergal is independent of path of joining the points (1, 2) and (3, 4). Hence evaluate the integral.

Solution:

*Answer can only contain numeric values

QUESTION: 50

What must be the thickness of the base of a flint glass prism which resolve the sodium D- lines. the refraction index of the galss prism change w.r.t. wavelength by magnitude of – 952 cm^{–1} ?

Solution:

*Answer can only contain numeric values

QUESTION: 51

At a point above the surface of the earth, the gravitational potential is –5.12 × 10^{7} J kg^{–1} and the acceleration due to gravity is 6.4 ms^{–2}. Assuming the mean radius of the earth to be 6400 km, calculate the heights of this point above the earth’s surface.

Solution:

Let r be the distance of the given point from the centre of the earth. Then,

Gravitational potential = -GM/r = -5.12 × 10^{7} J/kg ...... (1)

and acceleration due to gravity,g = GM/r^{2} = 6.4 m/s^{2} ...... (2)

Dividing (1) by (2), we get

r = 5.12 x 10^{7 }/ 6.4 = 8 × 10^{6} m = 8000km

Thus, height of the point from earth's surface = r - R = 8000 - 6400 = 1600 km

*Answer can only contain numeric values

QUESTION: 52

A system of two particle is distributed among three single states. In how many ways can the particles be distributed if they obey Bose- Einstein statistics ?

Solution:

*Answer can only contain numeric values

QUESTION: 53

A particle moves in a circular orbit about the origin under the action of a central If the

potential energy is zero at ∞, then the total energy of particle is _______.

Solution:

*Answer can only contain numeric values

QUESTION: 54

If a 3- Dimensional quantum mechanical Harmonic oscillator has an energy 3.5h w in a particular state then the degree of degeneracy is _________

Solution:

*Answer can only contain numeric values

QUESTION: 55

Determine V_{0} for the circuit with the input waveform as shown with V_{T} = 0.7 V.

Solution:

*Answer can only contain numeric values

QUESTION: 56

What is the numerical value of

Solution:

*Answer can only contain numeric values

QUESTION: 57

The force of a 3 × 3 matrix is 2. Two of its eigen value are 1 and 2. The third eigen value is ______.

Solution:

*Answer can only contain numeric values

QUESTION: 58

At the time t = 0, the wave function for Hydrogen atom is

Solution:

*Answer can only contain numeric values

QUESTION: 59

A condenser of 250 µF is connected in parallel to a coil of inductance 0.16 mH and effective resistance 20 W. The resonant frequency will be ______ (give Answer in KHz)

Solution:

QUESTION: 60

The binding energy per nucleon is maximum for the nucleus:

Solution:

Excluding the lighter nuclei, the average binding energy per nucleon is about 8 MeV. The maximum binding energy per nucleon occurs at around mass number A = 50, and corresponds to the most stable nuclei. Iron nucleus Fe56 is located close to the peak with a binding energy per nucleon value of approximately 8.8 MeV.

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