NEET 2013 · Physics

NEET 2013 Physics Questions with Solutions

The NEET 2013 paper had 46 Physics questions from 25 chapters.

Current Electricity, Dual Nature of Radiation and Matter and Thermodynamics had the most questions (4 each).

6 questions below have the answer and explanation free; the other 40 are in Premium.

Practise NEET 2013 Physics free

Physics questions: 46
Chapters covered: 25
Solved free here: 6 of 46
Easy / Medium / Hard: 13 / 24 / 9

Difficulty is NEET MIND's own tag for each question.

Chapter-wise: NEET 2013 Physics

How many questions each chapter had in NEET 2013. Open a chapter for its questions from every year.

All 46 NEET 2013 Physics questions

In paper order. Try each one, then open the answer where it is shown.

Question 1 (NEET 2013, Q1)
Units and MeasurementsEasy
In an experiment four quantities $a$ , $b$ , $c$ and $d$ are measured with percentage errors $1\%$ , $2\%$ , $3\%$ and $4\%$ respectively. Quantity $P$ is calculated as follows: $P = \frac{a^3 b^2}{cd}$ % error in P is:
1. Option A: 14%
2. Option B: 10%
3. Option C: 7%
4. Option D: 4%
The answer and explanation for this question are in NEET MIND Premium.
Question 2 (NEET 2013, Q2)
Motion in a PlaneEasy
The velocity of a projectile at the initial point $A$ is $(2\hat{i} + 3\hat{j})\ \mathrm{m/s}$ . Its velocity (in $\mathrm{m/s}$ ) at point $B$ is
1. Option A: $-2\hat{i} - 3\hat{j}$
2. Option B: $-2\hat{i} + 3\hat{j}$
3. Option C: $2\hat{i} - 3\hat{j}$
4. Option D: $2\hat{i} + 3\hat{j}$
Show answer & explanationHide answer & explanation
Correct answer: (C) $2\hat{i} - 3\hat{j}$
Explanation
For projectile motion, the horizontal component of velocity remains constant throughout the motion, while the vertical component reverses direction when the projectile returns to the same horizontal level. Initial velocity at point $A$ : $\vec{u} = 2\hat{i} + 3\hat{j}$ Therefore at point $B $:$ $\vec{v} = 2\hat{i} - 3\hat{j}$ $Hence the correct answer is:$ $\boxed{2\hat{i} - 3\hat{j}}$ $
Question 3 (NEET 2013, Q3)
GravitationMedium
A stone falls freely under gravity. It covers distances $h_1$ , $h_2$ and $h_3$ in the first $5\ \text{s}$ , the next $5\ \text{s}$ and the next $5\ \text{s}$ respectively. The relation between $h_1$ , $h_2$ and $h_3$ is:
1. Option A: $h_1 = 2h_2 = 3h_3$
2. Option B: $h_1 = \dfrac{h_2}{3} = \dfrac{h_3}{5}$
3. Option C: $h_2 = 3h_1$ and $h_3 = 3h_2$
4. Option D: $h_1 = h_2 = h_3$
The answer and explanation for this question are in NEET MIND Premium.
Question 4 (NEET 2013, Q4)
Laws of MotionEasy
Three blocks with masses $m$ , $2m$ and $3m$ are connected by strings, as shown in the figure. After an upward force $F$ is applied on block $m$ , the masses move upward at constant speed $v$ . What is the net force on the block of mass $2m$ ? ( $g$ is the acceleration due to gravity)
1. Option A: Zero
2. Option B: $2mg$
3. Option C: $3mg$
4. Option D: $6mg$
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Question 5 (NEET 2013, Q5)
Work, Energy and PowerMedium
The upper half of an inclined plane of inclination $\theta$ is perfectly smooth while the lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom, if the coefficient of friction between the block and lower half of the plane is:
1. Option A: $\mu = \dfrac{1}{\tan\theta}$
2. Option B: $\mu = \dfrac{2}{\tan\theta}$
3. Option C: $\mu = 2\tan\theta$
4. Option D: $\mu = \tan\theta$
Show answer & explanationHide answer & explanation
Correct answer: (C) $\mu = 2\tan\theta$
Explanation
Loss of potential energy over full length equals work done against friction over rough half: $mgL\sin\theta = \mu mg\cos\theta \cdot \frac{L}{2}$ Therefore, $\mu = \frac{2\sin\theta}{\cos\theta} = 2\tan\theta$ Hence option (C) is correct.
Question 6 (NEET 2013, Q6)
Work, Energy and PowerMedium
A uniform force of $(3\hat{i}+\hat{j})$ newton acts on a particle of mass $2\,\mathrm{kg}$ . Hence the particle is displaced from position $(2\hat{i}+\hat{k})$ metre to position $(4\hat{i}+3\hat{j}-\hat{k})$ metre. The work done by the force on the particle is:
1. Option A: $9\,\mathrm{J}$
2. Option B: $6\,\mathrm{J}$
3. Option C: $13\,\mathrm{J}$
4. Option D: $15\,\mathrm{J}$
Show answer & explanationHide answer & explanation
Correct answer: (A) $9\,\mathrm{J}$
Explanation
Force vector: $\vec F = 3\hat i + \hat j$ Displacement vector: $\vec S = (4\hat i+3\hat j-\hat k)-(2\hat i+\hat k)=2\hat i+3\hat j-2\hat k$ Work done: $W=\vec F\cdot\vec S$ $W=(3)(2)+(1)(3)+(0)(-2)$ $W=6+3=9\,\mathrm{J}$ Hence option (A) is correct.
Question 7 (NEET 2013, Q7)
Laws of MotionMedium
An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass $1\,\mathrm{kg}$ moves with a speed of $12\,\mathrm{m\,s^{-1}}$ and the second part of mass $2\,\mathrm{kg}$ moves with $8\,\mathrm{m\,s^{-1}}$ speed. If the third part flies off with $4\,\mathrm{m\,s^{-1}}$ speed, then its mass is:
1. Option A: $3\,\mathrm{kg}$
2. Option B: $5\,\mathrm{kg}$
3. Option C: $7\,\mathrm{kg}$
4. Option D: $17\,\mathrm{kg}$
The answer and explanation for this question are in NEET MIND Premium.
Question 8 (NEET 2013, Q8)
System of Particles and Rotational MotionMedium
A rod $PQ$ of mass $M$ and length $L$ is hinged at end $P$ . The rod is kept horizontal by a massless string tied to point $Q$ as shown in the figure. When the string is cut, the initial angular acceleration of the rod is:
1. Option A: $\dfrac{3g}{2L}$
2. Option B: $\dfrac{g}{L}$
3. Option C: $\dfrac{2g}{L}$
4. Option D: $\dfrac{2g}{3L}$
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Question 9 (NEET 2013, Q9)
System of Particles and Rotational MotionMedium
A small object of uniform density rolls up a curved surface with an initial velocity $v$ '. It reaches up to a maximum height $\dfrac{3v^2}{4g}$ with respect to the initial position. The object is
1. Option A: Ring
2. Option B: Solid sphere
3. Option C: Hollow sphere
4. Option D: Disc
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Question 10 (NEET 2013, Q10)
GravitationEasy
A body of mass $m$ is taken from the earth's surface to the height equal to twice the radius $(R)$ of the earth. The change in potential energy of the body will be
1. Option A: $mg2R$
2. Option B: $\dfrac{2}{3}mgR$
3. Option C: $3mgR$
4. Option D: $\dfrac{11}{3}mgR$
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Question 11 (NEET 2013, Q11)
GravitationMedium
Infinite number of bodies, each of mass 2 kg are situated on x-axis at distance 1 m, 2 m, 4 m, 8 m, ..... respectively, from the origin. The resulting gravitational potential due to this system at the origin will be
1. Option A: $-G$
2. Option B: $-\dfrac{8}{3}G$
3. Option C: $-\dfrac{4}{3}G$
4. Option D: $-4G$
The answer and explanation for this question are in NEET MIND Premium.
Question 12 (NEET 2013, Q12)
Current ElectricityEasy
The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?
1. Option A: Length = 50 cm, diameter = 0.5 mm
2. Option B: Length = 100 cm, diameter = 1 mm
3. Option C: Length = 200 cm, diameter = 2 mm
4. Option D: Length = 300 cm, diameter = 3 mm
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Question 13 (NEET 2013, Q13)
Mechanical Properties of FluidsEasy
The wettability of a surface by a liquid depends primarily on
1. Option A: Viscosity
2. Option B: Surface tension
3. Option C: Density
4. Option D: Angle of contact between the surface and the liquid
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Question 14 (NEET 2013, Q14)
ThermodynamicsMedium
The molar specific heats of an ideal gas at constant pressure and volume are denoted by $C_p$ and $C_v$ respectively. If $\gamma = \dfrac{C_p}{C_v}$ and $R$ is the universal gas constant, then $C_v$ is equal to
1. Option A: $\dfrac{1+\gamma}{1-\gamma}$
2. Option B: $\dfrac{R}{\gamma-1}$
3. Option C: $\dfrac{\gamma-1}{R}$
4. Option D: $\gamma R$
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Question 15 (NEET 2013, Q15)
Thermal Properties of MatterEasy
A piece of iron is heated in a flame. It first becomes dull red then reddish yellow and finally turns to white hot. The correct explanation for the above observation is possible by using
1. Option A: Stefan's Law
2. Option B: Wien's displacement law
3. Option C: Kirchhoff's Law
4. Option D: Newton's law of cooling
Show answer & explanationHide answer & explanation
Correct answer: (B) Wien's displacement law
Explanation
According to Wien’s displacement law: $\lambda_{m}T = \text{constant}$ As temperature increases, wavelength of maximum emission decreases. Hence emitted radiation shifts: red → orange/yellow → white Therefore the observed colour change of heated iron is explained by **Wien’s displacement law**. Hence the correct answer is **B**.
Question 16 (NEET 2013, Q16)
ThermodynamicsMedium
A gas is taken through the cycle $A \rightarrow B \rightarrow C \rightarrow A$ , as shown. What is the net work done by the gas?
1. Option A: 2000 J
2. Option B: 1000 J
3. Option C: Zero
4. Option D: -2000 J
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Question 17 (NEET 2013, Q17)
ThermodynamicsHard
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of $\dfrac{C_p}{C_v}$ for the gas is
1. Option A: $\dfrac{4}{3}$
2. Option B: 2
3. Option C: $\dfrac{5}{3}$
4. Option D: $\dfrac{3}{2}$
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Question 18 (NEET 2013, Q18)
ThermodynamicsMedium
In the given $(V-T)$ diagram, what is the relation between pressures $P_1$ and $P_2$ ?
1. Option A: $P_2 = P_1$
2. Option B: $P_2 > P_1$
3. Option C: $P_2 < P_1$
4. Option D: Cannot be predicted
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Question 19 (NEET 2013, Q19)
Kinetic TheoryMedium
The amount of heat energy required to raise the temperature of $1\,g$ of Helium at NTP, from $T_1\,K$ to $T_2\,K$ is
1. Option A: $\dfrac{3}{8}N_Ak_B(T_2-T_1)$
2. Option B: $\dfrac{3}{2}N_Ak_B(T_2-T_1)$
3. Option C: $\dfrac{3}{4}N_Ak_B(T_2-T_1)$
4. Option D: $\dfrac{3}{4}N_Ak_B\left(\dfrac{T_2}{T_1}\right)$
Show answer & explanationHide answer & explanation
Correct answer: (A) $\dfrac{3}{8}N_Ak_B(T_2-T_1)$
Explanation
For helium (monoatomic gas): $Q=nC_V\Delta T$ where $C_V=\frac{3}{2}R$ For $1\,g $helium:$ $n=\frac{1}{4}$ $Therefore,$ $Q=\frac{1}{4}\times\frac{3}{2}R(T_2-T_1)$ $Using$ R=N_Ak_B $:$ $Q=\frac{3}{8}N_Ak_B(T_2-T_1)$ $ Hence option (A) is correct.
Question 20 (NEET 2013, Q20)
WavesMedium
A wave travelling in the positive x-direction having displacement along y-direction as $1\,m$ , wavelength $2\pi\,m$ and frequency $\dfrac{1}{\pi}\,Hz$ is represented by
1. Option A: $y=\sin(x-2t)$
2. Option B: $y=\sin(2\pi x-2\pi t)$
3. Option C: $y=\sin(10\pi x-20\pi t)$
4. Option D: $y=\sin(2\pi x+2\pi t)$
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Question 21 (NEET 2013, Q21)
WavesEasy
If we study the vibration of a pipe open at both ends, then the following statement is not true
1. Option A: Open end will be anti-node
2. Option B: Odd harmonics of the fundamental frequency will be generated
3. Option C: All harmonics of the fundamental frequency will be generated
4. Option D: Pressure change will be maximum at both ends
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Question 22 (NEET 2013, Q22)
WavesHard
A source of unknown frequency gives $4$ beats/s, when sounded with a source of known frequency $250\,\text{Hz}$ . The second harmonic of the source of unknown frequency gives five beats per second, when sounded with a source of frequency $513\,\text{Hz}$ . The unknown frequency is
1. Option A: $254\,\text{Hz}$
2. Option B: $246\,\text{Hz}$
3. Option C: $240\,\text{Hz}$
4. Option D: $260\,\text{Hz}$
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Question 23 (NEET 2013, Q23)
Electric Charges and FieldsHard
Two pith balls carrying equal charges are suspended from a common point by strings of equal length. The equilibrium separation between them is $r$ . Now the strings are rigidly clamped at half the height. The equilibrium separation between the balls now becomes
1. Option A: Option 1
2. Option B: Option 2
3. Option C: Option 3
4. Option D: Option 4
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Question 24 (NEET 2013, Q24)
Electrostatic Potential and CapacitanceEasy
A, B and C are three points in a uniform electric field. The electric potential is
1. Option A: Maximum at A
2. Option B: Maximum at B
3. Option C: Maximum at C
4. Option D: Same at all the three points A, B and C
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Question 25 (NEET 2013, Q25)
Current ElectricityEasy
A wire of resistance $4\,\Omega$ is stretched to twice its original length. The resistance of stretched wire would be
1. Option A: $2\,\Omega$
2. Option B: $4\,\Omega$
3. Option C: $8\,\Omega$
4. Option D: $16\,\Omega$
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Question 26 (NEET 2013, Q26)
Current ElectricityMedium
The internal resistance of a $2.1\,V$ cell which gives current of $0.2\,A$ through a resistance of $10\,\Omega$ is
1. Option A: $0.2\,\Omega$
2. Option B: $0.5\,\Omega$
3. Option C: $0.8\,\Omega$
4. Option D: $1.0\,\Omega$
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Question 27 (NEET 2013, Q27)
Current ElectricityHard
The resistances of the four arms P, Q, R and S in a Wheatstone's bridge are $10\,\Omega$ , $30\,\Omega$ , $30\,\Omega$ and $90\,\Omega$ respectively. The e.m.f. and internal resistance of the cell are $7\,V$ and $5\,\Omega$ respectively. If the galvanometer resistance is $50\,\Omega$ , the current drawn from the cell will be
1. Option A: $1.0\,A$
2. Option B: $0.2\,A$
3. Option C: $0.1\,A$
4. Option D: $2.0\,A$
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Question 28 (NEET 2013, Q28)
Moving Charges and MagnetismHard
When a proton is released from rest in a room, it starts with an initial acceleration $a_0$ towards west. When it is projected towards north with speed $v_0$ , it moves with an initial acceleration $3a_0$ towards west. The electric and magnetic fields in the room are
1. Option A: $\dfrac{ma_0}{e}$ west, $\dfrac{2ma_0}{ev_0}$ up
2. Option B: $\dfrac{ma_0}{e}$ west, $\dfrac{2ma_0}{ev_0}$ down
3. Option C: $\dfrac{ma_0}{e}$ east, $\dfrac{3ma_0}{ev_0}$ up
4. Option D: $\dfrac{ma_0}{e}$ east, $\dfrac{3ma_0}{ev_0}$ down
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Question 29 (NEET 2013, Q29)
Moving Charges and MagnetismMedium
A current loop in a magnetic field
1. Option A: Experiences a torque whether the field is uniform or non-uniform in all orientations
2. Option B: Can be in equilibrium in one orientation
3. Option C: Can be in equilibrium in two orientations, both the equilibrium states are unstable
4. Option D: Can be in equilibrium in two orientations, one stable while the other is unstable
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Question 30 (NEET 2013, Q30)
Magnetism and MatterHard
A bar magnet of length $l$ and magnetic dipole moment $M$ is bent in the form of an arc as shown in figure. The new magnetic dipole moment will be
1. Option A: Option 1
2. Option B: Option 2
3. Option C: Option 3
4. Option D: Option 4
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Correct answer: (B) Option 2
Explanation
For the bent magnet: $M = m l$ Arc length: $l = r\theta = r\cdot\frac{\pi}{3}$ Hence: $r = \frac{3l}{\pi}$ New dipole moment: $M' = mr = m\cdot\frac{3l}{\pi} = \frac{3M}{\pi}$
Question 31 (NEET 2013, Q31)
Electromagnetic InductionMedium
A wire loop is rotated in a magnetic field. The frequency of change of direction of the induced e.m.f. is
1. Option A: Once per revolution
2. Option B: Twice per revolution
3. Option C: Four times per revolution
4. Option D: Six times per revolution
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Question 32 (NEET 2013, Q32)
Alternating CurrentMedium
A coil of self-inductance $L$ is connected in series with a bulb $B$ and an AC source. Brightness of the bulb decreases when
1. Option A: Frequency of the AC source is decreased
2. Option B: Number of turns in the coil is reduced
3. Option C: A capacitance of reactance $X_C=X_L$ is included in the same circuit
4. Option D: An iron rod is inserted in the coil
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Question 33 (NEET 2013, Q33)
Electromagnetic WavesEasy
The condition under which a microwave oven heats up a food item containing water molecules most efficiently is
1. Option A: The frequency of the microwaves must match the resonant frequency of the water molecules
2. Option B: The frequency of the microwaves has no relation with natural frequency of water molecules
3. Option C: Microwaves are heat waves, so always produce heating
4. Option D: Infra-red waves produce heating in a microwave oven
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Question 34 (NEET 2013, Q34)
AtomsHard
Ratio of longest wavelengths corresponding to Lyman and Balmer series in hydrogen spectrum is
1. Option A: $\dfrac{5}{27}$
2. Option B: $\dfrac{3}{23}$
3. Option C: $\dfrac{7}{29}$
4. Option D: $\dfrac{9}{31}$
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Question 35 (NEET 2013, Q35)
NucleiMedium
The half life of a radioactive isotope $X$ is $20$ years. It decays to another element $Y$ which is stable. The two elements $X$ and $Y$ were found to be in the ratio $1:7$ in a sample of a given rock. The age of the rock is estimated to be
1. Option A: $40$ years
2. Option B: $60$ years
3. Option C: $80$ years
4. Option D: $100$ years
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Question 36 (NEET 2013, Q36)
NucleiMedium
A certain mass of Hydrogen is changed to Helium by the process of fusion. The mass defect in fusion reaction is $0.02866\,u$ . The energy liberated per $u$ is (given $1\,u = 931\,\text{MeV}$ )
1. Option A: $2.67\,\text{MeV}$
2. Option B: $26.7\,\text{MeV}$
3. Option C: $6.675\,\text{MeV}$
4. Option D: $13.35\,\text{MeV}$
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Question 37 (NEET 2013, Q37)
Dual Nature of Radiation and MatterMedium
For photoelectric emission from a certain metal the cut-off frequency is $\nu$ . If radiation of frequency $2\nu$ impinges on the metal plate, the maximum possible velocity of the emitted electron will be (where $m$ is electron mass)
1. Option A: $\sqrt{\dfrac{h\nu}{2m}}$
2. Option B: $\sqrt{\dfrac{h\nu}{m}}$
3. Option C: $\sqrt{\dfrac{2h\nu}{m}}$
4. Option D: $2\sqrt{\dfrac{h\nu}{m}}$
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Question 38 (NEET 2013, Q38)
Dual Nature of Radiation and MatterMedium
The wavelength $\lambda_e$ of an electron and $\lambda_p$ of a photon of same energy $E$ are related by
1. Option A: $\lambda_p \propto \lambda_e^2$
2. Option B: $\lambda_p \propto \lambda_e$
3. Option C: $\lambda_p \propto \sqrt{\lambda_e}$
4. Option D: $\lambda_p \propto \dfrac{1}{\sqrt{\lambda_e}}$
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Question 39 (NEET 2013, Q39)
Ray Optics and Optical InstrumentsHard
A plano-convex lens fits exactly into a plano-concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive indices $\mu_1$ and $\mu_2$ , and $R$ is the radius of curvature of the curved surface of the lenses, then the focal length of the combination is
1. Option A: $\dfrac{R}{2(\mu_1+\mu_2)}$
2. Option B: $\dfrac{R}{2(\mu_1-\mu_2)}$
3. Option C: $\dfrac{R}{\mu_1-\mu_2}$
4. Option D: $\dfrac{2R}{\mu_2-\mu_1}$
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Question 40 (NEET 2013, Q40)
Ray Optics and Optical InstrumentsMedium
For a normal eye, the cornea of eye provides a converging power of $40\,D$ and the eye lens behind the cornea is $20\,D$ . Using this information, the distance between retina and the cornea-eye lens system can be estimated to be
1. Option A: $5\,cm$
2. Option B: $2.5\,cm$
3. Option C: $1.67\,cm$
4. Option D: $1.5\,cm$
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Question 41 (NEET 2013, Q41)
Wave OpticsMedium
In Young's double slit experiment, the slits are $2\,\text{mm}$ apart and are illuminated by photons of wavelengths $\lambda_1=12000\,\text{Å}$ and $\lambda_2=10000\,\text{Å}$ . At what minimum distance from the common central bright fringe on a screen $2\,\text{m}$ from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other?
1. Option A: $8\,\text{mm}$
2. Option B: $6\,\text{mm}$
3. Option C: $4\,\text{mm}$
4. Option D: $3\,\text{mm}$
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Question 42 (NEET 2013, Q42)
Dual Nature of Radiation and MatterMedium
A parallel beam of fast moving electrons is incident normally on a narrow slit. A fluorescent screen is placed at a large distance from the slit. If the speed of the electrons is increased, which of the following statements is correct?
1. Option A: Diffraction pattern is not observed on the screen in the case of electrons
2. Option B: The angular width of the central maximum of the diffraction pattern will increase
3. Option C: The angular width of the central maximum will decrease
4. Option D: The angular width of the central maximum will be unaffected
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Question 43 (NEET 2013, Q43)
Semiconductor ElectronicsEasy
In a $n$ -type semiconductor, which of the following statement is true?
1. Option A: Electrons are majority carriers and trivalent atoms are dopants
2. Option B: Electrons are minority carriers and pentavalent atoms are dopants
3. Option C: Holes are minority carriers and pentavalent atoms are dopants
4. Option D: Holes are majority carriers and trivalent atoms are dopants
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Question 44 (NEET 2013, Q44)
Semiconductor ElectronicsHard
In a common emitter (CE) amplifier having a voltage gain $G$ , the transistor used has transconductance $0.03\,\text{mho}$ and current gain $25$ . If the transistor is replaced by another one with transconductance $0.02\,\text{mho}$ and current gain $20$ , the voltage gain will be
1. Option A: $\dfrac{2}{3}G$
2. Option B: $1.5G$
3. Option C: $\dfrac{1}{3}G$
4. Option D: $\dfrac{5}{4}G$
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Question 45 (NEET 2013, Q45)
Semiconductor ElectronicsMedium
The output $(X)$ of the logic circuit shown in figure will be
1. Option A: Option 1
2. Option B: Option 2
3. Option C: Option 3
4. Option D: Option 4
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Question 46 (NEET 2013, Q46)
Dual Nature of Radiation and MatterEasy
The value of Planck’s constant is $6.63\times10^{-34}\,Js$ . The speed of light is $3\times10^{17}\,nm\,s^{-1}$ . Which value is closest to the wavelength in nanometre of a quantum of light with frequency $6\times10^{15}\,s^{-1}$ ?
1. Option A: $10$
2. Option B: $25$
3. Option C: $50$
4. Option D: $75$
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