KCET 2017 Paper with Solutions Physics is available here. Revise them and gain confidence, which in turn reduces the fear of facing the examination. It will help the students to attempt maximum questions in stipulated time by increasing their speed and accuracy. Candidates can download the previous years’ question papers of KCET to figure out the alternative and easy method to solve a particular problem. Practising the previous year papers is the best tool for the preparation of this competitive exam KCET, in terms of the syllabus and distribution of marks across different topics. Solving these papers with solutions will boost the candidates’ confidence and scores in the KCET examination.
Question 1: A substance of mass 49.53 g occupies 1.5 cm3 of volume. The density of the substance (in g cm3) with the correct number of significant figures is
Solution:
Answer: (G)
Bonus
Question 2: A car moving with a velocity of 20 ms–1 is stopped in a distance of 40 m. If the same car is travelling at double the velocity, the distance travelled by it for the same retardation is
Solution:
Answer: (d)
Let the initial speed of car be u = 20 m / s
Final speed of car; V = 0 m / s
Retardation = a
Case – I
V2 = u2 + 2as
0 = u2 + 2as
– 400 / [2 * 40] = a
[a = –5 m / s2]
Case – II
u = 40 m / s
v = 0 m / s
a = –5 m / s2
s = ?
V2 = u2 +2as
0 = (40)2 + 2 (–5). S
S = 1600 / 10
S = 160 m
Question 3: The angle between velocity and acceleration of a particle describing uniform circular motion is
Solution:
Answer: (c)
In a circular motion, velocity is always tangential to the circular path. Also in a uniform circular motion, tangential acceleration is zero. Hence, the net acceleration will be centripetal acceleration which always acts towards the centre of the circular path. Hence, velocity and acceleration of a particle describing uniform circular motion are at a right angle to each other.
Question 4: If
Solution:
Answer: (b)
When vectors are perpendicular to each other, then their dot product is zero.
–8 + 12 + 8α = 0
8α = - 4
α = - 1 / 2
Question 5: A body of mass 50 kg, is suspended using a spring balance inside a lift at rest. If the lift starts falling freely, the reading of the spring balance is
Solution:
Answer: (d)
As the lift is falling freely, therefore its acceleration = g (downwards)
Let, the force acting on body due to spring is “F”
∴ (50g) – F = (50) a
50g – F = 50 g
F = 0
Thus, no force is acting on the body due to spring.
So, the reading of spring balance is zero.
Question 6: A motor pump lifts 6 tones of water from a well of depth 25m to the first floor of height 35 m from the ground floor in 20 minutes. The power of the pump (in kW) is [g = 10 ms–2]
Solution:
Answer: (a)
Power = work done / time taken
P = mgh / t
P = (m / t) gh
h = 25 + 35 = 60m
Flow rate = (m / t) = 6 tones / 20 min
= {[6000] / [20 * 60]} (kg / sec) = 5 (kg / sec)
P = 5 × 10 × 60
= 3000 w
= 3 kw
Question 7: Two balls are thrown simultaneously in the air. The acceleration of the centre of mass of the two balls when in air
Solution:
Answer: (c)
As there is no force in the horizontal direction, so there will be no acceleration of COM in a horizontal direction.
As for vertical direction, the only gravitational force acts on both the balls, hence the acceleration of COM will be equal to the acceleration due to gravity which is ‘g’.
Question 8: The value of acceleration due to gravity at a depth of 1600 km is equal to [Radius of earth = 6400 km]
Solution:
Answer: (d)
Acceleration due to gravity at a depth “d”:
gd = g (1 - [d / Re])
d → 1600km
Re → 6400 km
g → 9.8 m / s2
gd = (9.8) (1 - [1600 / 6400])
gd = 7.35 ms–2
Question 9: ‘Young’s modulus is defined as the ratio of
Solution:
Answer: (a)
Young’s modulus is defined as the ratio of tensile stress to tensile strain or longitudinal strain.
Question 10: ‘Hydraulic lift’ works on the basis of
Solution:
Answer: (c)
Hydraulic lift works on the principle of equal transmission throughout a fluid i.e. pascal’s law.
Question 11: The S.I. unit of specific heat capacity is
Solution:
Answer: (b)
Specific heat capacity: S = (Q / mΔT)
Q → Amount of heat absorbed
M → Mass of the substance
T → Change in temperature of the substance
SI unit of S → J kg–1 K–1
Question 12: For which combination of working temperatures, the efficiency of ‘Carnot’s engine’ is the least?
Solution:
Answer: (d)
The efficiency of Carnot’s engine; 𝜂 = 1 - [Tlower / Thigher]
Now, let’s check options.
(A) → 𝜂A = 1 - (40 / 60) = 0.33
(B) → 𝜂B = 1 - (20 / 40) = 0.5
(C) → 𝜂C = 1 - (60 / 80) = 0.25
(D) → 𝜂D = 1 - (80 / 100) = 0.2
Question 13: The mean energy of a molecule of an ideal gas is
Solution:
Answer: (b)
Mean energy of a molecule of an ideal gas:
E = (1 / 2) mV2rms
Rms velocity of molecules: Vrms = √3KT / m
E = (1 / 2) × m × (3KT / m)
E = (3 / 2) KT
Question 14: Two simple pendulums A and B are made to oscillate simultaneously and it is found that A completes 10 oscillations in 20 sec and B completes 8 oscillations in 10 sec. The ratio of the lengths of A and B is
Solution:
Answer: (b)
The time period of the simple pendulum: T = 2π √(l / g)
lA / lB = [TA / TB]2
Time period of A: TA = 20 / 10 = 2 sec
Time period of B: TB = 10 / 8 = 5 / 4 sec
lA / lB = 64 / 25
Question 15: The waves set up in a closed pipe are
Solution:
Answer: (b)
The waves set up in a closed pipe are longitudinal and stationary because of the superposition of incident wave and reflected wave.
Question 16: Two spheres of electric charges +2 nC and −8 nC are placed at a distance‘d’ apart. If they are allowed to touch each other, what is the new distance between them to get a repulsive force of the same magnitude as before?
Solution:
Answer: (b)
Case – I:
F = KqAqB / r2
F = [K . 2 . 8] / d2
F = 16K / d2
Case – II:
qA = qB = (2 - 8) / 2 = -6 / 2 = -3 nc
F’ = K (3) (3) / d2
But F = 16k / d2
16k / d2 = 9k / r2
r2 = (9 / 16) d2
r = (3 / 4) d
Question 17: Three-point charges of +2q, + 2q and –4q are placed at the corner A, B and C of an equilateral triangle ABC of side ‘x’. The magnitude of the electric dipole moment of this system is
Solution:
Answer: (b)
As evident from the diagram above, we can consider two dipoles one CA and CB. M1: Dipole moment of CA = 2q x (from C to A)
M2: Dipole moment of CB = 2qx (from C to B)
Net dipole moment = √[m12 + m22 + 2m1 m2 cos 60º]
= √[m12 + m22 + 2m1 m2 (1 / 2)]
= √[m12 + m22 + 2m1 m2]
= √(4q2x2 + 4q2x2 + 4q2x2)
= 2 √3 qx
Question 18: 4 × 1010 electrons are removed from a neutral metal sphere of diameter 20 cm placed in air. The magnitude of the electric field (in NC–1) at a distance of 20 cm from its centre is
Solution:
Answer: (b)
Total charge removed from sphere = ne
= (4 × 1010) × (1.6 × 10–19)
= 6.4 × 10–9 C
Distance of point from centre of sphere = 20 cm = 0.2 m
Electric field: E = kq / r2
E = [9 × 109 × (6.4 × 10-9)] / (0.2)2
= 1440 N / C
Question 19: Two-point charges A = +3 nC and B = 1nC are placed 5 cm apart in the air. The work done to move charge B towards A by 1 cm is
Solution:
Answer: (a)
Potential energy of system: u = [KQAQB] / d
Initial distance between charges → 5 cm = 0.05m
Uinitial = [(9 × 109) × (3 × 10-9) × (1 × 10-9)] / 0.05
= 5.4 × 10–7 J
Ufinal = [(9 × 109) × (3 × 10-9) × (1 × 10-9)] / 0.04
= 6.75 × 10–7 J
Work done: W = uf – ui
W = (6.75 – 5.4) × 107
= 1.35 × 107 J
Question 20: A system of 2 capacitors of capacitance 2μF and 4μF is connected in series across a potential difference of 6V. The electric charge and energy stored in the system are
Solution:
Answer: (c)
Equivalent capacitance: Ceq = [C1C2] / [C1 + C2] = [2 × 4] / [2 + 4]
Ceq = 4μF / 3
Charge: q = cv
Q = (4 / 3) * 6 = 8μC
Energy stored: E = (1 / 2) CV2 = (1 / 2) (4 / 3) 62 = 24 μJ
Question 21: The minimum value of effective capacitance that can be obtained by combining 3 capacitors of capacitances 1pF, 2pF and 4pF is
Solution:
Answer: (a)
Minimum capacitance can be obtained by connecting these three capacitors in series.
(1 / Ceq) = (1 / C1) + (1 / C2) + (1 / C3)
= (1 / 1) + (1 / 2) + (1 / 4)
= [7 / 4]
Ceq = (4 / 7) pF
Question 22: A cylindrical conductor of diameter 0.1 mm carries a current of 90 mA. The current density (in Am–2) is (π ≃ 3)
Solution:
Answer: (a)
Current density: J = I / A
Current: I → 90 mA = 90 × 10–3 A
Diameter of wire: d = 0.1mm = 10–4 m2
The cross-section area of wire; A = πd2 / 4
A = [3 × (10-4)2] / 4 = 0.75 × 10–8 m2
J = [90 × 10-3] / [0.75 × 10-8] = 1.2 × 107 A / m2
Question 23: A piece of copper is to be shaped into a conducting wire of maximum resistance. The suitable length and diameter are _________ and ____________respectively.
Solution:
Answer: (d)
Resistance of copper wire: R = ρL / A
ρ → Resistivity of material and is constant
L → Length of wire
A → Cross-sectional area of conductor
A = πd2 / 4
D → diameter of the wire
R ∝ L / d2
Now, let’s check the options
(A) RA ∝ (L / d2)
(B) RB ∝ 2 (L / d2)
(C) RB ∝ (1 / 8) (L / d2)
(D) RD ∝ 8 (L / d2)
Question 24: Of the following graphs, the one that correctly represents the I –V characteristics of a ‘Ohmic device’ is
Solution:
Answer: (c)
Ohmic device, obey ohm’s law, i.e. V = IR
V ∝ I (R → constant)
I – V characteristic will be a straight line
Question 25: The value of I in the figure shown below is
Solution:
Answer: (b)
We will use concepts of KCL i.e. Iin = Iout at a junction.
Using KCL at A
20 = 5 + I1
I1 = 15A
Using KCL at B
5 = 3 + I2
I2 = 2A
Using KCL at D
I1 + 4 = I3
I3 = 15 + 4
I3 = 19A
Using KCL at C
I = I2 + I3
I = 2 + 19
I = 21A
Question 26: The power dissipated in 3Ω resistance in the following circuit is
Solution:
Answer: (a)
The given circuit can be redrawn as
Again
I1 = I × (6 / [3 + 6]) = 0.75 × (6 / 9)
I1 = 0.5A
Power in 3Ω = I12R = (0.5)2 3 = 0.75W
Question 27: In metre bridge experiment, with a standard resistance in the right gap and a resistance coil dipped in water (in a beaker) in the left gap, the balancing length obtained is ‘I’. If the temperature of the water is increased, the new balancing length is
Solution:
Answer: (a)
Runknown / Rstandard = l / (1 - l)
As temperature increases Þ Resistance increases
Runknown / Rstandard increases ⇒ l / (1 - l) increases
(1 – l) should decrease ⇒ (l > 1)
Question 28: A proton, a deuteron and an α - particle is projected perpendicular to the direction of a uniform magnetic field with same kinetic energy. The ratio of the radii of the circular paths described by them is
Solution:
Answer: (a)
v = qBr / m ⇒ r = mV / qB
P = mV = √2mE, E is same (kinetic energy)
r = √2mE / qB
r ∝ √m / q
r = √m / q2
rp . rd . rα = √(m / e2) : √(2m / e2) : √(4m / e2)
= 1 : √2 : 1
Question 29: A galvanometer of resistance 50 Ω is connected to a battery of 3V along with a resistance of 2950 Ω in series shows full-scale deflection of 30 divisions. The additional series resistance required to reduce the deflection to 20 divisions is
Solution:
Answer: (b)
Total internal resistance = G + R
= 50 + 2950 = 3000Ω
Current; I = 3 / 3000 = 10–3A = 1 mA
If the deflection is to be reduced to 20 divisions
I’ = [1 mA / 30] * 20 = (2 / 3) mA
Let x be the effective resistance of the circuit.
3V = 3000 Ω × 1mA = x Ω * (2 / 3) mA
x = 4500 Ω
Resistance to be added = (4500 – 50) Ω
= 4450 Ω
≈ 4440 Ω
Question 30: The magnetic field at the centre of a current-carrying loop of radius 0.1 m is 5 √5 times that at a point along its axis. The distance of this point from the centre of the loop is
Solution:
Answer: (a)
For a circular current-carrying loop of radius R
Bcentre = μ0i / 2R
Baxis = μ0iR2 / 2 [R2 + x2]3/2 [at a distance x from the centre]
Given Bcentre = 5 √5 Baxis
[μ0i / 2R] = [5 √5] [μ0iR2 / 2 [R2 + x2]3/2]
[R2 + x2]3 / R6 = 125
[R2 + x2] / R2 = 5
x2 / R2 = 4
x = 2R
x = 2 × 10 = 20 cm = 0.2m
Question 31: A straight wire of length 50 cm carrying a current of 2.5 A is suspended in mid-air by a uniform magnetic field of 0.5 T (as shown in the figure). The mass of the wire is (g = 10 ms–2)
Solution:
Answer: (a)
For equilibrium
FB = mg
Bil = mg
m = Bil / g
m = [0.5 × 2.5 × 50 × 10-2] / 10 = 62.5 g
Question 32: Which of the following properties is ‘False’ for a bar magnet?
Solution:
Answer: (d)
A bar magnet can produce a magnetic field. Option (d) is False.
Question 33: A magnetic dipole of the magnetic moment 6 × 10–2 Am2 and moment of inertia 12 × 10–6 kgm2 performs oscillation in a magnetic field of 2 × 10–2 T. The time taken by the dipole to complete 20 oscillations is (π ≃ 3)
Solution:
Answer: (c)
Time period of oscillation
T = 2π √I / MB
= 2π √[12 × 10-6] / [(6 × 10-2) (2 × 10-2)]
= 2π √(12 × 10-6) / (12 × 10-4)
= 2π × 10-1
For 20 oscillations,
T’ = 20 × 2π × 10–1
T’ = 12 sec
Question 34: The susceptibility of a ferromagnetic substance
Solution:
Answer: (a)
Susceptibility of Ferromagnetic substance is >>>1 because it is strongly attracted to an external magnetic field.
Question 35: A bar magnet is allowed to fall vertically through a copper coil placed in a horizontal plane. The magnet falls with a net acceleration
Solution:
Answer: (c)
If the magnet is falling vertically down with its north pole towards the coil, then the upper face of the coil will become north pole, So that it can oppose the approaching north pole of the magnet. Here, the acceleration will be less than “g”.
Question 36: The working of magnetic braking of trains is based on
Solution:
Answer: (b)
Working of magnetic breaking in the train is based on eddy current.
Question 37: A jet plane of wingspan 20 m is travelling towards the west at a speed of 400 ms–1. If the earth’s total magnetic field is 4× 10–4 T and the dip angle is 30º, at that place, the voltage difference developed across the ends of the wing is
Solution:
Answer: (a)
Voltage difference = BlV sin θ
= (4 × 10–4) × (20) × (400) sin 30º
= 1.6 V
Question 38: In the A.C. circuit shown, keeping ‘K’ pressed if an iron rod is inserted into the coil, the bulb in the circuit,
Solution:
Answer: (b)
When the iron rod is inserted in the coil, then the inductive increases, hence the current flowing through the bulb decreases, therefore brightness decreases.
Question 39: The output of a step-down transformer is measured to be 48 V when connected to a 12 w bulb. The value of peak current is
Solution:
Answer: (c)
P = V.I.
I = P / V
I = 12 / 48 = 0.25 A
Peak current = √2 I
= √2 * (1 / 4)
= (1 / 2√2) A
Question 40: A coil of inductive reactance (1 / √3) Ω and resistance 1Ω is connected to a 200 V, 50 Hz A.C. supply. The time lag between the maximum voltage and current is
Solution:
Answer: (b)
ω = 2πf
ω = 2 * 3.14 * 50
tan ϕ = xL / R = ωL / R = (1 / √3) / 1 = 1 / √3
ϕ = 30o
ωt = π / 6
t = π / [6 * ω]
t = [3.14] / [6 * 314]
t = (1 / 600) sec
Question 41: If E and B represent electric and magnetic field vectors of an electromagnetic wave, the direction of propagation of the wave is along
Solution:
Answer: (c)
As we know, by property of the electromagnetic wave, the electric field, magnetic field & the direction of propagation, all the three are mutually perpendicular. Thereby right-hand thumb rule using the figure. E × B.
Question 42: According to Cartesian sign convention, in ray optics
Solution:
Answer: (c)
In ray optics, all the directions in the direction of the incident ray are taken as positive.
Question 43: A linear object of height 10 cm is kept in front of a concave mirror of radius of curvature 15 cm, at a distance of 10 cm. The image formed is
Solution:
Answer: (b)
Using mirror formula
(1 / f) = (1 / u) + (1 / v)
f = R / 2 = 15 / 2
(1 / [-15 / 2]) = (1 / -10) + (1 / v)
V = –30 cm
Magnification, m = −v/u = −30 / −10 = −3
Therefore, The image formed is real, magnified and inverted.
Question 44: During scattering of light, the amount of scattering is inversely proportional to _______ of the wavelength of light,
Solution:
Answer: (c)
During scattering of light
Intensity: I ∝ (1 / λ4)
Question 45: In Young’s double-slit experiment if yellow light is replaced by blue light, the interference fringes become
Solution:
Answer: (b)
Fringe width: w = Dλ / d
w ∝ λ
But λyellow light > λblue light
Interference patterns will become narrower.
Question 46: According to Huygens’ principle, during refraction of light from air to a denser medium
Solution:
Answer: (a)
Refractive index of the medium
μ = c / v
C → speed of light in vacuum or air
V → speed of light in the medium
Above equation implies that the speed of light decrease when it goes from rarer medium (air) to denser medium
Also; λ = v / f
λ = wavelength, f → frequency
Frequency remains the same for all medium unless the source of light is disturbed
λ ∝ V
Wavelength decreases.
Question 47: In a system of two crossed polarizers, it is found that the intensity of light from the second polarizer is half from that of the first polariser. The angle between their pass axes is
Solution:
Answer: (a)
From Malus law
I = I0 cos2 θ
There; I = I0 / 2
I0 / 2 = I0 cos2 θ
cos θ = 1 / √2
θ = 45o
Question 48: From the following graph of photocurrent against collector plate potential, for two different intensities of light I1 and I2, one can conclude
Solution:
Answer: (c)
The value of photocurrent depends on the intensity of incident light. So, when the intensity of incident light increases, then the value of photocurrent is increased. The intensity of light ∝ photocurrent.
I1 < I2
Question 49: A particle is dropped from a height ‘H’. The de’Broglie wavelength of the particle depends on height as
Solution:
Answer: (d)
From de-broglie expression
λ = h / mv
λ = h / [m √2gH]
λ ∝ H–1/2
Question 50: The scientist who is credited with the discovery of ‘nucleus’ in an atom is
Solution:
Answer: (b)
Rutherford is credited with the discovery of nucleus in an atom.
Question 51: The energy (in eV) required to excite an electron from n = 2 to n = 4 state in the hydrogen atom is
Solution:
Answer: (a)
The expression of energy is En = 13.6 / n2
The required energy is E = E2 - E4 = (13.6 / 22) - (13.6 / 42)
= +2.55
Question 52: In a nuclear reactor the function of the Moderator is to decrease
Solution:
Answer: (b)
In a nuclear reactor, the function of the moderator is to decrease the speed of neutrons.
Question 53: The particles emitted in the decay of 23892U to 23492U
Solution:
Answer: (a)
∴ 1 α and 2 β particles
Question 54: The mass defect of 42He is 0.03μ. The binding energy per nucleon of helium (in MeV) is
Solution:
Answer: (b)
The mass defect of 42He; ΔM = 0.03u
Binding energy of helium: E = ΔM × 931 MeV
E = 0.03 × 931.5 = 27.93 MeV
Number of nucleons in helium; n = 4
Binding energy per nucleon = E / n = 27.93 / 4 = 6.9825
Question 55: The energy gap in case of which of the following is less than 3 eV?
Solution:
Answer: (d)
In Germanium energy the gap is less than 3eV.
Question 56: Which of the following semiconducting devices is used as a voltage regulator?
Solution:
Answer: (c)
Zener diode is used as a voltage regulated as in reverse biased condition it exhibits constant voltage.
Question 57: In the three parts of a transistor, ‘Emitter is of
Solution:
Answer: (a)
In the case of a transistor, the emitter is of moderate size and heavily doped so as to supply a large number of majority charge carriers for current flow.
Question 58: In the figure shown, if the diode forward voltage drop is 0.2 V, the voltage difference between A and B is
Solution:
Answer: (b)
The voltage drop across AB by using KVL is as follows:
VAB = (0.2 × 10-3 × 5 × 103) + 0.2 + (0.2 × 10-3 × 5 × 103)
= 1 + 0.2 + 1
= 2.2V
Question 59: Which of the following logic gates is considered as ‘universal’?
Solution:
Answer: (d)
NAND and NOR gates are considered as universal gates. Out of the given options, an option (D) is NAND gate.
Question 60: A basic communication system consists of
(a) Transmitter
(b) Information source
(c) User of information
(d) Channel
(e) Receive
Solution:
Answer: (b)
The block diagram of the communication system is as follows: