aiims-2017
AIIMS 2017
MEDICAL 2017 Previous Year
3 hDuration
60Total Marks
60Questions
1Sections
Instructions
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Paper Structure
Physics
Physics
Q1.
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In the given figure, $$C$$ is middle point of line $$S_1 S_2$$. A monochromatic light of wavelength $$\lambda$$ is incident on slits. The ratio of intensities of $$S_3$$ and $$S_4$$ is
Q2.
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An interference pattern is observed by
Young’s double slit experiment. If now the
separation between coherent source is halved and the distance of screen from coherent
sources
Q3.
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**Assertion :** Corpuscular theory fails in explaining the velocities of light in air and water.
**Reason :** According to corpuscular theory is that light should travel faster in denser media than rarer media.
Q4.
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A tube of sugar solution $$20 \mathrm{~cm}$$ long is placed between crossed nicols and illuminated with light of wavelength $$6 \times 10^{-5} \mathrm{~cm}$$. If the optical rotation produced is $$13^{\circ}$$ and the specific rotation is $$65^{\circ}$$, determine the strength of the solution.
Q5.
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The Young's double slit experiment is performed with blue and green light of wavelengths 4360 Å and 5460 Å respectively. If $$x$$ is the distance of 4th maxima from the central one, then
Q6.
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**Assertion :** The total kinetic energy of a rolling solid sphere is the sum of translational and rotational kinetic energies.
**Reason :** For all solid bodies, total kinetic energy is always twice of translational kinetic energy.
Q7.
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A boy is pushing a ring of mass $$3 \mathrm{~kg}$$ and radius $$0.6 \mathrm{~m}$$ with a stick as shown in figure. The stick applies a force of $$3 \mathrm{~N}$$ on the ring and rolls it without slipping with an acceleration of 0.4 m/s$$^2$$. The coefficient of friction between the ground and the ring is large enough that rolling always occurs and the coefficient of friction between the stick and the ring is $$\frac{F}{10}$$. The value of $$F$$ is
Q8.
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**Assertion :** For looping a vertical loop of radius, $$r$$ the minimum velocity at lowest point should be $$\sqrt{5 g r}$$.
**Reason :** In this event the velocity at the highest point will be zero.
Q9.
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The particle of mass $$m$$ is moving in a circular path of constant radius $$r$$ such that its centripetal acceleration $$a_c$$ is varying with time $$t$$ as $$a_c=k^2 r t^2$$, where $$k$$ is a constant. The power delivered to particle by the forces acting on it is
Q10.
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**Assertion :** Molar heat capacity cannot be defined for isothermal process.
**Reason :** In isothermal process $$p$$-$$V$$ versus $$T$$ graph is a dot.
Q11.
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The coefficient of cubical expansion of mercury is $$0.00018 /{ }^{\circ} \mathrm{C}$$ and that of brass $$0.00006 /{ }^{\circ} \mathrm{C}$$. If a barometer having a brass scale were to read $$74.5 \mathrm{~cm}$$ at $$30^{\circ} \mathrm{C}$$, find the true barometric height at $$0^{\circ} \mathrm{C}$$. The scale is supposed to be correct at $$15^{\circ} \mathrm{C}$$.
Q12.
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One mole of an ideal diatomic gas undergoes
transition from A to B along a path AB as
shown below.
The change in internal energy of the gas
during the transition is
The change in internal energy of the gas
during the transition is
Q13.
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**Assertion :** It is hotter over the top of a fire than at the same distance on the sides.
**Reason :** In the upward direction, the heat propagate through convection.
Q14.
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**Assertion :** The molecules of a monoatomic gas has three degrees of freedom.
**Reason :** The molecules of diatomic gas has five degrees of freedom.
Q15.
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**Assertion :** In adiabatic expansion the product of $$p$$ and $$V$$ always decreases.
**Reason :** In adiabatic expansion process, work is done by the gas at the cost of internal energy of gas.
Q16.
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Charges $$+q$$ and $$-q$$ are placed at points $$A$$ and $$B$$ respectively which are a distance $$2 L$$ apart, $$C$$ is the mid-point between $$A$$ and $$B$$. The work done in moving a charge $$+Q$$ along the semicircle $$C R D$$ is
Q17.
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**Assertion :** The electric field due to a dipole on its axis line at a distance $$r$$ is $$E$$. Then, electric field due to the same dipole on the equatorial line and at the same distance will be $$E / 2$$.
**Reason :** Electric field due to dipole varies inversely as the square of the distance.
Q18.
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What is the maximum height attained by a body projected with a velocity equal to one-third of the escape velocity from the surface of the earth? (Radius of the earth $$=R$$ )
Q19.
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Two satellites $$S_1$$ and $$S_2$$ are revolving round a planet in coplanar circular orbits of radii $$r_1$$ and $$r_2$$ in the same direction, respectively. Their respective periods of revolution are $$1 \mathrm{~h}$$ and $$8 \mathrm{~h}$$. The radius of orbit of satellite $$S_1$$ is equal to $$10^4 \mathrm{~km}$$. What will be their relative speed (in $$\mathrm{km} / \mathrm{h}$$) when they are closest?
Q20.
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A space ship is launched into a circular orbit
close to earth’s surface. What additional
velocity has now to be imparted to the
spaceship in the orbit to overcome the
gravitational pull?
(Radius of earth = 6400 km, g = 9.8 m/s$$^2$$)
Q21.
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A parallel plate capacitor has an electric field of $$10^5 \mathrm{~Vm}^{-1}$$ between the plates. If the charge on the capacitor plates is $$1 \mu \mathrm{C}$$, the force on each capacitor plate is
Q22.
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Two capacitors $$C$$ and $$\frac{C}{2}$$ are connected to a battery of $$V$$ volts, as shown below
The work done in charging both the capacitors fully is
The work done in charging both the capacitors fully is
Q23.
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A lens of refractive index $$\mu$$ is put in a liquid of refractive index $$\mu^{\prime}$$. If the focal length of lens in air is $$f$$, then its focal length in liquid will be
Q24.
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**Assertion :** Angle of deviation depends on the angle of prism.
**Reason :** For thin prism $$\delta=(\mu-1) A$$
Where $$\delta=$$ angle of deviation,
$$\mu=$$ refractive index, $$A=$$ angle of prism
Q25.
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**Assertion :** The mirror used in search lights are parabolic and not concave spherical.
**Reason :** In concave spherical mirror, the image formed is always virtual.
Q26.
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A simple telescope, consisting of an objective of focal length $$60 \mathrm{~cm}$$ and a single eye lens of focal length $$5 \mathrm{~cm}$$ is focused on a distant object in such a way that parallel rays emerge from the eye lens. If the object subtends an angle of $$2^{\circ}$$ at the objective, the angular width of the image is
Q27.
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A thin prism $$P_1$$ of angle $$4^{\circ}$$ and refractive index 1.54 is combined with another prism $$P_2$$ of refractive index 1.72 produce dispersion without deviation, the angle of $$P_2$$ is
Q28.
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In the given figure, the angle of reflection is
Q29.
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A load of mass $m$ falls from a height $$h$$ on the scale pan hung from a spring as shown. If the spring constant is $$k$$ and mass of the scale pan is zero and the mass $$m$$ does not bounce relative to the pan, then the amplitude of vibration is
A load of mass $m$ falls from a height $$h$$ on the scale pan hung from a spring as shown. If the spring constant is $$k$$ and mass of the scale pan is zero and the mass $$m$$ does not bounce relative to the pan, then the amplitude of vibration is
Q30.
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**Assertion :** A spring of force constant $k$ is cut into two pieces having lengths in the ratio 1 :
2. The force constant of series combination of the two parts is $$\frac{3 k}{2}$$.
**Reason :** The spring connected in series are represented by $$k=k_1+k_2$$
Q31.
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The current gain of a transistor in common emitter mode is 49. The change in collector current and emitter current corresponding to change in base current by $$5.0 \mu \mathrm{A}$$, will be
Q32.
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A proper combination of $$3 \mathrm{NOT}$$ and 1 NAND gates is shown. If $$A=0, B=1, C=1$$, then the output of this combination is
Q33.
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A specimen of silicon is to be made $$P$$-type semiconductor for this one atom of indium, on an average, is doped in $$5 \times 10^7$$ silicon atoms. If the number density of silicon is $$5 \times 10^{22}$$ atom/$$\mathrm{m}^3$$ then the number of acceptor atoms per $$\mathrm{cm}^3$$ will be
Q34.
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A conductor lies along the z-axis at $$-1.5 \leq Z \leq 1.5 \mathrm{~m}$$ and carries a fixed current of 10.0 $$\mathrm{A}$$ in $$-a_z$$ direction as shown in figure for a field $$B=3 \times 10^{-4} e^{-0.2 x} a_y \mathrm{~T}$$, the total power required to move the conductor at constant speed to $$x=2.0 \mathrm{~m}, y=0 \mathrm{~m}$$ in $$5 \times 10^{-3} \mathrm{~s}$$ is (Assume parallel motion along the $$x$$-axis)
Q35.
mcq single
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A long wire having a semicircular loop of
radius r carries a current i as shown in figure.
The magnetic induction at the centre O due to
entire
Q36.
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**Assertion :** Cyclotron does not accelerate electron.
**Reason :** Mass of the electron is very small.
Q37.
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**Assertion :** Photoelectric effect can take place only with an electron bound in the atom.
**Reason :** Electron is a fermion whereas proton is a boson.
Q38.
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In an experiment to measure the height of a bridge by dropping stone into water underneath. If the error in measurement of time is $$0.2 \mathrm{~s}$$ at the end of $$4 \mathrm{~s}$$, then the error in estimation of height of bridge will be (neglect the water resistance, i.e. thrust)
Q39.
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What will be the a vs x graph for the following
graph?
Q40.
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**Assertion :** A beam of charged particles is employed in the treatment of cancer.
**Reason :** Charged particles on passing through a material medium lose their energy by causing ionization of the atoms along their path.
Q41.
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**Assertion :** In He-Ne laser, population inversion takes place between energy levels of neon atoms.
**Reason :** Helium atoms have a metastable energy level.
Q42.
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**Assertion :** In $$\alpha$$-decay atomic number of daughter nucleus reduces by 2 units from the parent nucleus.
**Reason :** An $$\alpha$$-particle carries four units of mass.
Q43.
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A nuclear explosive is designed to deliver $$1 \mathrm{~MW}$$ power in the form of heat energy. If the explosion is designed with nuclear fuel consisting of $$U^{235}$$ to run a reactor at this power level for one year, then the amount of fuel needed is (Given energy per fission is $$200 \mathrm{~MeV}$$)
Q44.
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**Assertion :** When $$\theta=45^{\circ}$$ or $$135^{\circ}$$, the value of $$R$$ remains the same, only the sign changes.
**Reason :** $$R=\frac{u^2 \sin 2 \theta}{g}$$
Q45.
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A body of mass $$4 \mathrm{~kg}$$ moving with velocity $$12 \mathrm{~m} / \mathrm{s}$$ collides with another body of mass $$6 \mathrm{~kg}$$ at rest. If two bodies stick together after collision, then the loss of kinetic energy of system is
Q46.
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The driver of a car travelling with speed $$30 \mathrm{~ms}^{-1}$$ towards a hill sounds a horn of frequency $$600 \mathrm{~Hz}$$. If the velocity of sound in air is $$330 \mathrm{~ms}^{-1}$$, the frequency of reflected sound as heard by driver is :
Q47.
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With what minimum acceleration can a fireman slide down a rope while breaking strength of the rope is $$2 / 3$$ of the weight?
Q48.
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Four blocks of same mass connected by strings are pulled by a force $$F$$ on a smooth horizontal surface as shown in figure. The tension $$T_1, T_2$$ and $$T_3$$ will be
Q49.
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A body of mass $$5 \times 10^{-3} \mathrm{~kg}$$ is launched upon a rough inclined plane making an angle of $$30^{\circ}$$ with the horizontal. Obtain the coefficient of friction between the body and the plane if the time of ascent is half of the time of descent.
Q50.
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The angle of dip, if dip needle oscillating in vertical plane makes 40 oscillations per min in a magnetic meridian and 30 oscillations per minute in vertical plane at right angle to the magnetic meridian is
Q51.
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**Assertion :** The magnetism of magnet is due to the spin motion of electrons.
**Reason :** Dipole moment of electron is smaller than that due to orbit motion around nucleus.
Q52.
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A block is dragged on a smooth plane with the
help of a rope which moves with a velocity v
as shown in the figure. The horizontal velocity
of
Q53.
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A force $$\mathbf{F}=-k(y \hat{\mathbf{i}}+x \hat{\mathbf{j}})$$ where $$k$$ is a positive constant, acts on a particle moving in the $$x y$$ plane. Starting from the origin, the particle is taken along the positive $$x$$-axis to the point $$(a, 0)$$ and then parallel to the $$y$$-axis to the point $$(a, a)$$. The total work done by the force on the particle is
Q54.
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A person of weight $$70 \mathrm{~kg}$$ wants to loose $$7 \mathrm{~kg}$$ by going up and down $$12 \mathrm{~m}$$ high stairs. Assume he burns twice as much fat while going up than going down. If $$1 \mathrm{~kg}$$ of fat is burnt on expending 9000 k-cal. How many times must he go up and down to reduce his $$7 \mathrm{~kg}$$ weight?
(Take $$g=10 \mathrm{~ms}^{-2}$$)
Q55.
mcq single
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A cylindrical conductor AB of non-uniform
area of cross-section carries a current of 5A.
The radius of the conductor at one end A is
0.5 cm. The current density at the other end of
the conductor is half of the value at A. The
radius of the conductor at the end B is nearly
Q56.
mcq single
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**Assertion :** A potentiometer is preferred over that of a voltmeter for measurement of emf of a cell.
**Reason :** Potentiometer does not draw any current from the cell.
Q57.
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The effective resistance between p and q in
given figure is
Q58.
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Two batteries, one of emf $$18 \mathrm{~V}$$ and internal resistance $$2 \Omega$$ and the other of emf $$12 \mathrm{~V}$$ and internal resistance $$1 \Omega$$ are connected as shown. The voltmeter $$V$$ will record a reading of
Q59.
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**Assertion :** The average value of alternating emf is $$63.39 \%$$ of the peak value.
**Reason :** The rms value of alternating emf is $$70.72 \%$$ of peak value.
Q60.
mcq single
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A series R-C circuit is connected to AC voltage
source. Consider two cases; (A) When C is
without a dielectric medium and (B) When C
is filled with dielectric of constant 4. The
current I$$_R$$ through the resistor and voltage V$$_C$$ across the capacitor are compared in two
cases.