NEET 2016 · Physics

NEET 2016 Physics Questions with Solutions

The NEET 2016 paper had 45 Physics questions from 26 chapters.

System of Particles and Rotational Motion had the most questions (4), followed by Moving Charges and Magnetism, Ray Optics and Optical Instruments and Semiconductor Electronics with 3 each.

11 questions below have the answer and explanation free; the other 34 are in Premium.

Practise NEET 2016 Physics free

Physics questions: 45
Chapters covered: 26
Solved free here: 11 of 45
Easy / Medium / Hard: 10 / 27 / 8

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

All 45 NEET 2016 Physics questions

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

Question 1 (NEET 2016, Q1)
Units and MeasurementsMedium
Planck’s constant $(h)$ , speed of light in vacuum $(c)$ and Newton’s gravitational constant $(G)$ are three fundamental constants. Which of the following combinations of these has the dimension of length?
1. Option A: Option 1
2. Option B: Option 2
3. Option C: Option 3
4. Option D: Option 4
The answer and explanation for this question are in NEET MIND Premium.
Question 2 (NEET 2016, Q2)
Motion in a Straight LineEasy
Two cars $P$ and $Q$ start from a point at the same time in a straight line and their positions are represented by: $x_P(t)=at+bt^2$ and $x_Q(t)=ft-t^2$ At what time do the cars have the same velocity?
1. Option A: $\dfrac{a-f}{1+b}$
2. Option B: $\dfrac{a+f}{2(b-1)}$
3. Option C: $\dfrac{a+f}{2(1+b)}$
4. Option D: $\dfrac{f-a}{2(1+b)}$
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Correct answer: (D) $\dfrac{f-a}{2(1+b)}$
Explanation
Velocity of car $P$ : $v_P = \frac{dx_P}{dt} = a + 2bt$ Velocity of car $Q $:$ $v_Q = \frac{dx_Q}{dt} = f - 2t$ $For same velocity:$ $a + 2bt = f - 2t$ $2t(b+1)=f-a$ $t=\frac{f-a}{2(1+b)}$ $ Hence option (D) is correct.
Question 3 (NEET 2016, Q3)
Motion in a PlaneMedium
In the given figure, $a = 15\ \text{m/s}^2$ represents the total acceleration of a particle moving in the clockwise direction in a circle of radius $R = 2.5\ \text{m}$ at a given instant of time. The speed of the particle is:
1. Option A: 4.5 m/s
2. Option B: 5.0 m/s
3. Option C: 5.7 m/s
4. Option D: 6.2 m/s
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Correct answer: (C) 5.7 m/s
Explanation
The centripetal acceleration is the radial component of the total acceleration. From the figure: $a_c = a \cos 30^\circ$ $\frac{v^2}{r} = 15 \times \frac{\sqrt{3}}{2}$ Given: $r = 2.5\ \text{m}$ Therefore, $v^2 = 15 \times \frac{\sqrt{3}}{2} \times 2.5$ $v \approx 5.7\ \text{m/s}$ Hence option (C) is correct.
Question 4 (NEET 2016, Q4)
Laws of MotionMedium
A rigid ball of mass $m$ strikes a rigid wall at $60^\circ$ and gets reflected without loss of speed as shown in the figure below. The value of impulse imparted by the wall on the ball will be:
1. Option A: $mv$
2. Option B: $2mv$
3. Option C: $\dfrac{mv}{2}$
4. Option D: $\dfrac{mv}{3}$
The answer and explanation for this question are in NEET MIND Premium.
Question 5 (NEET 2016, Q5)
System of Particles and Rotational MotionMedium
A bullet of mass $10\ \text{g}$ moving horizontally with a velocity of $400\ \text{m s}^{-1}$ strikes a wood block of mass $2\ \text{kg}$ suspended by a light inextensible string of length $5\ \text{m}$ . As a result, the centre of gravity of the block rises through a vertical distance of $10\ \text{cm}$ . The speed of the bullet after it emerges horizontally from the block will be:
1. Option A: $100\ \text{ms}^{-1}$
2. Option B: $80\ \text{ms}^{-1}$
3. Option C: $120\ \text{ms}^{-1}$
4. Option D: $160\ \text{ms}^{-1}$
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Question 6 (NEET 2016, Q6)
Laws of MotionEasy
Two identical balls $A$ and $B$ having velocities of $0.5\ \text{m/s}$ and $-0.3\ \text{m/s}$ respectively collide elastically in one dimension. The velocities of $B$ and $A$ after the collision respectively will be
1. Option A: $-0.5\ \text{m/s}$ and $0.3\ \text{m/s}$
2. Option B: $0.5\ \text{m/s}$ and $-0.3\ \text{m/s}$
3. Option C: $-0.3\ \text{m/s}$ and $0.5\ \text{m/s}$
4. Option D: $0.3\ \text{m/s}$ and $0.5\ \text{m/s}$
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Question 7 (NEET 2016, Q7)
Work, Energy and PowerEasy
A particle moves from a point $(-2\hat{i}+5\hat{j})$ to $(4\hat{j}+3\hat{k})$ when a force $(4\hat{i}+3\hat{j})\ \text{N}$ is applied. How much work has been done by the force?
1. Option A: 8 J
2. Option B: 11 J
3. Option C: 5 J
4. Option D: 2 J
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Correct answer: (C) 5 J
Explanation
Displacement vector: $\vec{s} = \vec{r_2}-\vec{r_1}$ $= (4\hat{j}+3\hat{k}) - (-2\hat{i}+5\hat{j})$ $= 2\hat{i}-\hat{j}+3\hat{k}$ Force: $\vec{F} = 4\hat{i}+3\hat{j}$ Work done: $W = \vec{F} \cdot \vec{s}$ $= (4)(2) + (3)(-1) + (0)(3)$ $= 8 - 3 = 5\ \text{J}$ Hence option (C) is correct.
Question 8 (NEET 2016, Q8)
System of Particles and Rotational MotionMedium
Two rotating bodies $A$ and $B$ of masses $m$ and $2m$ with moments of inertia $I_A$ and $I_B$ ( $I_B$ > $I_A$ ) have equal kinetic energy of rotation. If $L_A$ and $L_B$ are their angular momenta respectively, then:
1. Option A: $L_A = \dfrac{L_B}{2}$
2. Option B: $L_A = 2L_B$
3. Option C: $L_B > L_A$
4. Option D: $L_A > L_B$
The answer and explanation for this question are in NEET MIND Premium.
Question 9 (NEET 2016, Q9)
System of Particles and Rotational MotionMedium
A solid sphere of mass $m$ and radius $R$ is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic energies of rotation $(E_{sphere}/E_{cylinder})$ will be:
1. Option A: 2 : 3
2. Option B: 1 : 5
3. Option C: 1 : 4
4. Option D: 3 : 1
The answer and explanation for this question are in NEET MIND Premium.
Question 10 (NEET 2016, Q10)
System of Particles and Rotational MotionMedium
A light rod of length $l$ has two masses $m_1$ and $m_2$ attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is:
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 11 (NEET 2016, Q11)
GravitationMedium
Starting from the centre of the earth having radius $R$ , the variation of g (acceleration due to gravity) is shown by:
1. Option A: Graph (1)
2. Option B: Graph (2)
3. Option C: Graph (3)
4. Option D: Graph (4)
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Question 12 (NEET 2016, Q12)
GravitationMedium
A satellite of mass $m$ is orbiting the earth (of radius $R$ ) at a height $h$ from its surface. In terms of $g_0$ , the value of the total energy of the satellite is:
1. Option A: $\dfrac{mg_0R^2}{2(R+h)}$
2. Option B: $-\dfrac{mg_0R^2}{R+h}$
3. Option C: $\dfrac{2mg_0R^2}{R+h}$
4. Option D: $-\dfrac{2mg_0R^2}{R+h}$
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Question 13 (NEET 2016, Q13)
Mechanical Properties of FluidsMedium
A rectangular film of liquid is extended from $(4\ \text{cm} \times 2\ \text{cm})$ to $(5\ \text{cm} \times 4\ \text{cm})$ . If the work done is $3 \times 10^{-4}\ \text{J}$ , the value of surface tension of the liquid is:
1. Option A: $0.250\ \text{N m}^{-1}$
2. Option B: $0.125\ \text{N m}^{-1}$
3. Option C: $0.2\ \text{N m}^{-1}$
4. Option D: $8.0\ \text{N m}^{-1}$
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Correct answer: (B) $0.125\ \text{N m}^{-1}$
Explanation
Work done in increasing surface area: $W = 2T(A_2-A_1)$ Initial area: $A_1 = 4 \times 2 = 8\ \text{cm}^2 = 8 \times 10^{-4}\ \text{m}^2$ Final area: $A_2 = 5 \times 4 = 20\ \text{cm}^2 = 20 \times 10^{-4}\ \text{m}^2$ Thus: $3\times10^{-4} = 2T(12\times10^{-4})$ $T = 0.125\ \text{N m}^{-1}$ Hence option (B) is correct.
Question 14 (NEET 2016, Q14)
Mechanical Properties of FluidsHard
Three liquids of densities $\rho_1$ , $\rho_2$ and $\rho_3$ (with $\rho_1 > \rho_2 > \rho_3$ ), having the same value of surface tension $T$ , rise to the same height in three identical capillaries. The angles of contact $\theta_1$ , $\theta_2$ and $\theta_3$ obey:
1. Option A: $\dfrac{\pi}{2} > \theta_1 > \theta_2 > \theta_3 \geq 0$
2. Option B: $0 \leq \theta_1 < \theta_2 < \theta_3 < \dfrac{\pi}{2}$
3. Option C: $\dfrac{\pi}{2} < \theta_1 < \theta_2 < \theta_3 < \pi$
4. Option D: $\pi > \theta_1 > \theta_2 > \theta_3 > \dfrac{\pi}{2}$
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Question 15 (NEET 2016, Q15)
Thermal Properties of MatterMedium
Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at $100^\circ C$ , while the other one is at $0^\circ C$ . If the two bodies are brought in contact assuming no heat loss, then the final common temperature is:
1. Option A: $50^\circ C$
2. Option B: More than $50^\circ C$
3. Option C: Less than $50^\circ C$ but greater than $0^\circ C$
4. Option D: $0^\circ C$
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Correct answer: (B) More than $50^\circ C$
Explanation
Since heat capacity increases with temperature, the hotter body has a larger heat capacity. Therefore, for the same temperature fall, the hot body loses more heat than the cold body gains for equal temperature rise. Thus the equilibrium temperature shifts towards the hotter body. Hence the final temperature is greater than $50^\circ C$ . Hence option (B) is correct.
Question 16 (NEET 2016, Q16)
Thermal Properties of MatterHard
A body cools from a temperature $3T$ to $2T$ in 10 minutes. The room temperature is $T$ . Assume that Newton’s law of cooling is applicable. The temperature of the body at the end of the next 10 minutes 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
Using Newton’s law of cooling: $\frac{d\theta}{dt} \propto (\theta - T)$ Initially: Temperature excess decreases from: $3T - T = 2T$ to: $2T - T = T$ in 10 minutes. Thus the excess temperature halves in 10 minutes. After the next 10 minutes, excess temperature becomes: $\frac{T}{2}$ Therefore final temperature: $T + \frac{T}{2} = \frac{3T}{2}$ Hence option (B) is correct.
Question 17 (NEET 2016, Q17)
ThermodynamicsHard
One mole of an ideal monoatomic gas undergoes a process described by the equation $PV^3 = \text{constant}$ . The heat capacity of the gas during this process is:
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 18 (NEET 2016, Q18)
ThermodynamicsMedium
The temperature inside a refrigerator is $t_2^\circ C$ and the room temperature is $t_1^\circ C$ . The amount of heat delivered to the room for each joule of electrical energy consumed ideally will be:
1. Option A: $\dfrac{t_1}{t_1-t_2}$
2. Option B: $\dfrac{t_1+273}{t_1-t_2}$
3. Option C: $\dfrac{t_2+273}{t_1-t_2}$
4. Option D: $\dfrac{t_1+t_2}{t_1+273}$
The answer and explanation for this question are in NEET MIND Premium.
Question 19 (NEET 2016, Q19)
Kinetic TheoryEasy
A given sample of an ideal gas occupies a volume $V$ at a pressure $P$ and absolute temperature $T$ . The mass of each molecule of the gas is $m$ . Which of the following gives the density of the gas?
1. Option A: $\dfrac{P}{kT}$
2. Option B: $\dfrac{Pm}{kT}$
3. Option C: $\dfrac{P}{kTV}$
4. Option D: $mkT$
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Correct answer: (B) $\dfrac{Pm}{kT}$
Explanation
For an ideal gas: $PV = NkT$ where $N $is the number of molecules. Density:$ $\rho = \frac{Nm}{V}$ $From ideal gas equation:$ $\frac{N}{V} = \frac{P}{kT}$ $Therefore:$ $\rho = m\frac{P}{kT}$ $\rho = \frac{Pm}{kT}$ $ Hence option (B) is correct.
Question 20 (NEET 2016, Q20)
OscillationsMedium
A body of mass $m$ is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass is slightly pulled down and released, it oscillates with a time period of $3\ \text{s}$ . When the mass is increased by $1\ \text{kg}$ , the time period of oscillations becomes $5\ \text{s}$ . The value of $m$ in kg is:
1. Option A: $\dfrac{3}{4}$
2. Option B: $\dfrac{4}{3}$
3. Option C: $\dfrac{16}{9}$
4. Option D: $\dfrac{9}{16}$
The answer and explanation for this question are in NEET MIND Premium.
Question 21 (NEET 2016, Q21)
WavesMedium
The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe of length $L$ . The length of the open pipe will be:
1. Option A: $L$
2. Option B: $2L$
3. Option C: $\dfrac{L}{2}$
4. Option D: $4L$
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Correct answer: (B) $2L$
Explanation
For a closed organ pipe: First overtone frequency: $f_c = \frac{3v}{4L}$ For an open organ pipe: Second overtone frequency: $f_o = \frac{3v}{2L_o}$ Given: $f_o = f_c$ $\frac{3v}{2L_o} = \frac{3v}{4L}$ Therefore: $L_o = 2L$ Hence option (B) is correct.
Question 22 (NEET 2016, Q22)
WavesMedium
Three sound waves of equal amplitudes have frequencies $(n-1)$ , $n$ , and $(n+1)$ . They superimpose to give beats. The number of beats produced per second will be:
1. Option A: 1
2. Option B: 4
3. Option C: 3
4. Option D: 2
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Correct answer: (D) 2
Explanation
The frequencies are: $(n-1),\ n,\ (n+1)$ Beat frequency between $(n-1) $and$ n $:$ $1\ \text{beat/s}$ $Beat frequency between$ n $and$ (n+1) $:$ $1\ \text{beat/s}$ $Total beats produced:$ $1+1=2\ \text{beats/s}$ $ Hence option (D) is correct.
Question 23 (NEET 2016, Q23)
Electric Charges and FieldsMedium
An electric dipole is placed at an angle of $30^\circ$ with an electric field intensity $2 \times 10^5\ \text{N/C}$ . It experiences a torque equal to $4\ \text{N m}$ . The charge on the dipole, if the dipole length is $2\ \text{cm}$ , is:
1. Option A: 8 mC
2. Option B: 2 mC
3. Option C: 5 mC
4. Option D: 7 μC
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Question 24 (NEET 2016, Q24)
Electrostatic Potential and CapacitanceHard
A parallel-plate capacitor of area $A$ , plate separation $d$ and capacitance $C$ is filled with four dielectric materials having dielectric constants $k_1$ , $k_2$ , $k_3$ and $k_4$ as shown in the figure below. If a single dielectric material is to be used to have the same capacitance $C$ , then its dielectric constant $k$ is given by:
1. Option A: $k = k_1+k_2+k_3+3k_4$
2. Option B: $k = \dfrac{2}{3}(k_1+k_2+k_3)+2k_4$
3. Option C: $\dfrac{2}{k} = \dfrac{3}{k_1+k_2+k_3}+\dfrac{1}{k_4}$
4. Option D: $\dfrac{1}{k}=\dfrac{1}{k_1}+\dfrac{1}{k_2}+\dfrac{1}{k_3}+\dfrac{3}{2k_4}$
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Question 25 (NEET 2016, Q25)
Current ElectricityEasy
The potential difference $(V_A - V_B)$ between the points $A$ and $B$ in the given figure is:
1. Option A: $-3\ \text{V}$
2. Option B: $+3\ \text{V}$
3. Option C: $+6\ \text{V}$
4. Option D: $+9\ \text{V}$
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Question 26 (NEET 2016, Q26)
Current ElectricityEasy
A filament lamp $(500\ \text{W},\ 100\ \text{V})$ is to be used in a $230\ \text{V}$ main supply. When a resistance $R$ is connected in series, it works perfectly and consumes $500\ \text{W}$ . The value of $R$ is:
1. Option A: $230\ \Omega$
2. Option B: $46\ \Omega$
3. Option C: $26\ \Omega$
4. Option D: $13\ \Omega$
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Question 27 (NEET 2016, Q27)
Moving Charges and MagnetismMedium
A long wire carrying a steady current is bent into a circular loop of one turn. The magnetic field at the centre of the loop is $B$ . If it is bent into a circular coil of $n$ turns, the magnetic field at the centre of this coil of $n$ turns will be:
1. Option A: $nB$
2. Option B: $n^2B$
3. Option C: $2nB$
4. Option D: $2n^2B$
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Question 28 (NEET 2016, Q28)
Moving Charges and MagnetismMedium
A bar magnet is hung by a thin cotton thread in a uniform horizontal magnetic field and is in equilibrium state. The energy required to rotate it by $60^\circ$ is $W$ . Now the torque required to keep the magnet in this new position is:
1. Option A: $\dfrac{W}{\sqrt{3}}$
2. Option B: $\sqrt{3}W$
3. Option C: $\dfrac{\sqrt{3}W}{2}$
4. Option D: $\dfrac{2W}{\sqrt{3}}$
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Question 29 (NEET 2016, Q29)
Moving Charges and MagnetismMedium
An electron is moving in a circular path under the influence of a transverse magnetic field of 3.57 × 10⁻² T. If the value of e/m is 1.76 × 10¹¹ C/kg, the frequency of revolution of the electron is:
1. Option A: 1 GHz
2. Option B: 100 MHz
3. Option C: 62.8 MHz
4. Option D: 6.28 MHz
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Question 30 (NEET 2016, Q30)
Alternating CurrentMedium
Which of the following combinations should be selected for better tuning of an L-C-R circuit used for communication?
1. Option A: $R = 20\ \Omega,\ L = 1.5\ \text{H},\ C = 35\ \mu\text{F}$
2. Option B: $R = 25\ \Omega,\ L = 2.5\ \text{H},\ C = 45\ \mu\text{F}$
3. Option C: $R = 15\ \Omega,\ L = 3.5\ \text{H},\ C = 30\ \mu\text{F}$
4. Option D: $R = 25\ \Omega,\ L = 1.5\ \text{H},\ C = 45\ \mu\text{F}$
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Question 31 (NEET 2016, Q31)
Electromagnetic InductionMedium
A uniform magnetic field is restricted within a region of radius $r$ . The magnetic field changes with time at a rate d $\vec{B}$ /dt. Loop 1 of radius $R > r$ encloses the region and loop 2 of radius $R$ is outside the region of magnetic field as shown in the figure below. Then the e.m.f. generated is:
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: (D) Option 4
Explanation
Magnetic flux linked with loop 1 is only through the magnetic field region of radius $r$ . Therefore, $\Phi = B\pi r^2$ Using Faraday’s law: $\mathcal{E} = -\frac{d\Phi}{dt}$ $\mathcal{E}_1 = -\frac{dB}{dt}\pi r^2$ Loop 2 lies completely outside the magnetic field region, so magnetic flux through it is zero. Hence: $\mathcal{E}_2 = 0$ Therefore option (D) is correct.
Question 32 (NEET 2016, Q32)
Alternating CurrentEasy
The potential differences across the resistance, capacitance and inductance are $80\ \text{V}$ , $40\ \text{V}$ and $100\ \text{V}$ respectively in an L-C-R circuit. The power factor of this circuit is:
1. Option A: 0.4
2. Option B: 0.5
3. Option C: 0.8
4. Option D: 1.0
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Question 33 (NEET 2016, Q33)
Electromagnetic WavesMedium
A $100\ \Omega$ resistance and a capacitor of reactance $100\ \Omega$ are connected in series across 220 V source. When the capacitor is 50% charged, peak value of the displacement current is:
1. Option A: 2.2 A
2. Option B: 11 A
3. Option C: 4.4 A
4. Option D: $11\sqrt{2}$ A
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Question 34 (NEET 2016, Q34)
Ray Optics and Optical InstrumentsHard
Two identical glass $(\mu_g = 3/2)$ equiconvex lenses of focal length $f$ are kept in contact. The space between the two lenses is filled with water $(\mu_w = 4/3)$ . The focal length of the combination is:
1. Option A: $\dfrac{f}{3}$
2. Option B: $f$
3. Option C: $\dfrac{4f}{3}$
4. Option D: $\dfrac{3f}{4}$
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Question 35 (NEET 2016, Q35)
Ray Optics and Optical InstrumentsEasy
An air bubble in a glass slab with refractive index $1.5$ (near normal incidence) is $5\ \text{cm}$ deep when viewed from one surface and $3\ \text{cm}$ deep when viewed from the opposite face. The thickness of the slab is:
1. Option A: 8 cm
2. Option B: 10 cm
3. Option C: 12 cm
4. Option D: 16 cm
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Question 36 (NEET 2016, Q36)
Wave OpticsHard
The interference pattern is obtained with two coherent light sources of intensity ratio $n$ . In the interference pattern, the ratio $\frac{I_{max}-I_{min}}{I_{max}+I_{min}}$ will be:
1. Option A: $\dfrac{\sqrt{n}}{n+1}$
2. Option B: $\dfrac{2\sqrt{n}}{n+1}$
3. Option C: $\dfrac{\sqrt{n}}{(n+1)^2}$
4. Option D: $\dfrac{2\sqrt{n}}{(n+1)^2}$
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Question 37 (NEET 2016, Q37)
Ray Optics and Optical InstrumentsEasy
A person can see clearly objects only when they lie between $50\ \text{cm}$ and $400\ \text{cm}$ from his eyes. In order to increase the maximum distance of distinct vision to infinity, the type and power of the correcting lens, the person has to use, will be:
1. Option A: Convex, +2.25 diopter
2. Option B: Concave, -0.25 diopter
3. Option C: Concave, -0.2 diopter
4. Option D: Convex, +0.15 diopter
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Question 38 (NEET 2016, Q38)
Wave OpticsMedium
A linear aperture whose width is $0.02\ \text{cm}$ is placed immediately in front of a lens of focal length $60\ \text{cm}$ . The aperture is illuminated normally by a parallel beam of wavelength $5 \times 10^{-5}\ \text{cm}$ . The distance of the first dark band from the centre of the screen is:
1. Option A: 0.10 cm
2. Option B: 0.25 cm
3. Option C: 0.20 cm
4. Option D: 0.15 cm
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Question 39 (NEET 2016, Q39)
Dual Nature of Radiation and MatterHard
Electrons of mass $m$ with de-Broglie wavelength $\lambda$ fall on the target in an X-ray tube. The cutoff wavelength $(\lambda_0)$ of the emitted X-rays is:
1. Option A: $\lambda_0 = \dfrac{2mc\lambda^2}{h}$
2. Option B: $\lambda_0 = \dfrac{2h}{mc}$
3. Option C: $\lambda_0 = \dfrac{2m^2c^2\lambda^3}{h^2}$
4. Option D: $\lambda_0 = \lambda$
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Question 40 (NEET 2016, Q40)
Dual Nature of Radiation and MatterEasy
Photons with energy $5\ \text{eV}$ are incident on a cathode $C$ in a photoelectric cell. The maximum kinetic energy of emitted photoelectrons is $2\ \text{eV}$ . When photons of energy $6\ \text{eV}$ are incident on $C$ , no photoelectrons will reach anode $A$ , if the stopping potential of $A$ relative to $C$ is:
1. Option A: +3 V
2. Option B: +4 V
3. Option C: -1 V
4. Option D: -3 V
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Question 41 (NEET 2016, Q41)
AtomsHard
If an electron in a hydrogen atom jumps from the 3rd orbit to the 2nd orbit, it emits a photon of wavelength $\lambda$ . When it jumps from the 4th orbit to the 3rd orbit, the corresponding wavelength of the photon will be:
1. Option A: $\dfrac{16}{25}\lambda$
2. Option B: $\dfrac{9}{16}\lambda$
3. Option C: $\dfrac{20}{7}\lambda$
4. Option D: $\dfrac{20}{13}\lambda$
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Correct answer: (C) $\dfrac{20}{7}\lambda$
Explanation
Using Rydberg formula: $\frac{1}{\lambda} = R\left(\frac{1}{n_1^2}-\frac{1}{n_2^2}\right)$ For transition $3 \to 2 $:$ $\frac{1}{\lambda} = R\left(\frac{1}{2^2}-\frac{1}{3^2}\right)$ $For transition$ 4 \to 3 $with wavelength$ \lambda' $:$ $\frac{1}{\lambda'} = R\left(\frac{1}{3^2}-\frac{1}{4^2}\right)$ $Taking ratio:$ $\frac{\lambda'}{\lambda} = \frac{\left(\frac{1}{2^2}-\frac{1}{3^2}\right)}{\left(\frac{1}{3^2}-\frac{1}{4^2}\right)}$ $= \frac{\frac{5}{36}}{\frac{7}{144}}$ $= \frac{20}{7}$ $Thus:$ $\lambda' = \frac{20}{7}\lambda$ $ Hence option (C) is correct.
Question 42 (NEET 2016, Q42)
NucleiMedium
The half-life of a radioactive substance is $30$ minutes. The time (in minutes) taken between $40\%$ decay and $85\%$ decay of the same radioactive substance is:
1. Option A: 15
2. Option B: 30
3. Option C: 45
4. Option D: 60
The answer and explanation for this question are in NEET MIND Premium.
Question 43 (NEET 2016, Q43)
Semiconductor ElectronicsMedium
For CE transistor amplifier, the audio signal voltage across the collector resistance of $2\ \text{k}\Omega$ is $4\ \text{V}$ . If the current amplification factor of the transistor is $100$ and the base resistance is $1\ \text{k}\Omega$ , then the input signal voltage is:
1. Option A: 10 mV
2. Option B: 20 mV
3. Option C: 30 mV
4. Option D: 15 mV
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Question 44 (NEET 2016, Q44)
Semiconductor ElectronicsMedium
The given circuit has two ideal diodes connected as shown in the figure below. The current flowing through the resistance $R_1$ will be:
1. Option A: 2.5 A
2. Option B: 10.0 A
3. Option C: 1.43 A
4. Option D: 3.13 A
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Question 45 (NEET 2016, Q45)
Semiconductor ElectronicsMedium
What is the output $Y$ in the following circuit, when all the three inputs $A$ , $B$ , $C$ are first 0 and then 1?
1. Option A: 0, 1
2. Option B: 0, 0
3. Option C: 1, 0
4. Option D: 1, 1
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