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question_answer1)
Match List - I (Event) with List-II (Order of the time interval for happening of the event) and select the correct option from the options given below the lists:
| List - I |
List - II |
| (a) Rotation period of earth |
(i) \[{{10}^{5}}s\] |
| (2) Revolution period of earth |
(ii) \[{{10}^{7}}s\] |
| (3) Period of light wave |
(iii) \[{{10}^{-15}}s\] |
| (4) Period of sound wave |
(iv) \[{{10}^{-3}}s\] |
JEE Main Online Paper (Held On 19 April 2016)
A)
(1)-(i), (2)-(ii), (3)-(iii), (4)-(iv)
done
clear
B)
(1)-(ii), (2)-(i), (3)-(iv), (4)-(iii)
done
clear
C)
(1)-(i), (2)-(ii), (3)-(iv), (4)-(iii)
done
clear
D)
(1)-(ii), (2)-(i), (3)-(iii), (4)-(iv)
done
clear
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question_answer2) A bullet looses \[{{\left( \frac{1}{n} \right)}^{th}}\]of its velocity passing through one plank. The number of such planks that are required to stop the bullet can be:
JEE Main Online Paper (Held On 19 April 2016)
A)
\[\frac{{{n}^{2}}}{2n-1}\]
done
clear
B)
\[\frac{2{{n}^{2}}}{n-1}\]
done
clear
C)
infinite
done
clear
D)
n
done
clear
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question_answer3) A heavy box is to dragged along a rough horizontal floor. To do so, person A pushes it at an angle \[30{}^\circ \] from the horizontal and requires a minimum force \[{{F}_{A}},\] while person B pulls the box at an angle \[60{}^\circ \] from the horizontal and needs minimum force FB. If the coefficient of friction between the box and the floor is \[\frac{\sqrt{3}}{5},\]the ratio \[\frac{{{F}_{A}}}{{{F}_{B}}}\]is
JEE Main Online Paper (Held On 19 April 2016)
A)
\[\sqrt{3}\]
done
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B)
\[\frac{5}{\sqrt{3}}\]
done
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C)
\[\sqrt{\frac{3}{2}}\]
done
clear
D)
\[\frac{2}{\sqrt{3}}\]
done
clear
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question_answer4)
Consider a cylinder of mass M resting on a rough horizontal rug that is pulled out from under it with acceleration ?a? perpendicular to the axis of the cylinder. What is F friction at point P? It is assumed that the cylinder does not slip. 
JEE Main Online Paper (Held On 19 April 2016)
A)
Mg
done
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B)
Ma
done
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C)
\[\frac{Ma}{2}\]
done
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D)
\[\frac{Ma}{3}\]
done
clear
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question_answer5)
A particle is released on a vertical smooth semicircular track from point X so that OX makes angle q from the vertical (see figure). The normal reaction of the track on the particle vanishes at point Y where OY makes angle \[\phi \] with the horizontal. Then: 
JEE Main Online Paper (Held On 19 April 2016)
A)
\[\sin \phi =\cos \phi \]
done
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B)
\[\sin \phi =\frac{1}{2}\cos \theta \]
done
clear
C)
\[\sin \phi =\frac{2}{3}\cos \theta \]
done
clear
D)
\[\sin \phi =\frac{3}{4}\cos \theta \]
done
clear
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question_answer6) A ball of mass 160 g is thrown up at an angle of \[60{}^\circ \] to the horizontal at a speed of \[10m{{s}^{-1}}.\]The angular momentum of the ball at the highest point of the trajectory with respect to the point from which the ball is thrown is nearly \[(g=10m{{s}^{-2}})\]
JEE Main Online Paper (Held On 19 April 2016)
A)
\[1.73kg{{m}^{2}}/s\]
done
clear
B)
\[3.0kg{{m}^{2}}/s\]
done
clear
C)
\[3.46kg{{m}^{2}}/s\]
done
clear
D)
\[6.0kg{{m}^{2}}/s\]
done
clear
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question_answer7) The gravitational field in a region is given by \[\overset{\to }{\mathop{g}}\,=5N/kg\hat{i}+12N/kg\hat{j}.\]The change in the gravitational potential energy of a particle of mass 1 kg when it is taken from the origin to a point (7 m, ? 3 m) is:
JEE Main Online Paper (Held On 19 April 2016)
A)
71 J
done
clear
B)
13 58 J
done
clear
C)
71 J
done
clear
D)
1 J
done
clear
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question_answer8) The velocity of water in a river is 18 km/h near the surface. If the river is 5 m deep, find the shearing stress between the horizontal layers of water. The co-efficient of viscosity of water \[={{10}^{-2}}\] poise.
JEE Main Online Paper (Held On 19 April 2016)
A)
\[{{10}^{-1}}N/{{m}^{2}}\]
done
clear
B)
\[{{10}^{-2}}N/{{m}^{2}}\]
done
clear
C)
\[{{10}^{-3}}N/{{m}^{2}}\]
done
clear
D)
\[{{10}^{-4}}N/{{m}^{2}}\]
done
clear
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question_answer9)
In the diagram shown, the difference in the two tubes of the manometer is 5 cm, the cross section of the tube at A and B is \[6m{{m}^{2}}\]and \[10m{{m}^{2}}\]10 mm2 respectively. The rate at which water flows through the tube is \[(g=10\,m{{s}^{-2}})\]
JEE Main Online Paper (Held On 19 April 2016)
A)
7.5 cc/s
done
clear
B)
8.0 cc/s
done
clear
C)
10.0 cc/s
done
clear
D)
12.5 cc/s
done
clear
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question_answer10) A large number of liquid drops each of radius r coalesce to from a single drop of radius R. The energy released in the process is converted into kinetic energy of the big drop so formed. The speed of the big drop is (given, surface tension of liquid T, density \[\rho \])
JEE Main Online Paper (Held On 19 April 2016)
A)
\[\sqrt{\frac{T}{\rho }\left( \frac{1}{r}-\frac{1}{R} \right)}\]
done
clear
B)
\[\sqrt{\frac{2T}{\rho }\left( \frac{1}{r}-\frac{1}{R} \right)}\]
done
clear
C)
\[\sqrt{\frac{4T}{\rho }\left( \frac{1}{r}-\frac{1}{R} \right)}\]
done
clear
D)
\[\sqrt{\frac{6T}{\rho }\left( \frac{1}{r}-\frac{1}{R} \right)}\]
done
clear
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question_answer11) A black coloured solid sphere of radius R and mass M is inside a cavity with vacuum inside. The walls of the cavity are maintained at temperature \[{{T}_{0}}.\] The initial temperature of the sphere is \[3{{T}_{0}}.\]If the specific heat of the material of the sphere varies as \[\alpha {{T}^{3}}\]per unit mass with the temperature T of the sphere, where \[\alpha \] is a constant, then the time taken for the sphere to cool down to temperature \[2{{T}_{0}}\] will be (\[\sigma \]is Stefan Boltzmann constant)
JEE Main Online Paper (Held On 19 April 2016)
A)
\[\frac{M\alpha }{4\pi {{R}^{2}}\sigma }\ln \left( \frac{3}{2} \right)\]
done
clear
B)
\[\frac{M\alpha }{4\pi {{R}^{2}}\sigma }\ln \left( \frac{16}{3} \right)\]
done
clear
C)
\[\frac{M\alpha }{16\pi {{R}^{2}}\sigma }\ln \left( \frac{16}{3} \right)\]
done
clear
D)
\[\frac{M\alpha }{16\pi {{R}^{2}}\sigma }\ln \left( \frac{3}{2} \right)\]
done
clear
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question_answer12) A gas is compressed from a volume of \[2{{m}^{3}}\]to a volume of \[1{{m}^{3}}\] at a constant pressure of \[100N/{{m}^{2}}.\]Then it is heated at constant volume by supplying 150 J of energy. As a result, the internal energy of the gas:
JEE Main Online Paper (Held On 19 April 2016)
A)
increases by 250 J
done
clear
B)
decreases by 250 J
done
clear
C)
increases by 50 J
done
clear
D)
decreases by 50 J
done
clear
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question_answer13) A gas molecule of mass M at the surface of the Earth has kinetic energy equivalent to \[0{}^\circ C\]. If it were to go up straight without colliding with any other molecules, how high it would rise? Assume that the height attained is much less than radius of the earth. (\[{{k}_{B}}\] is Boltzmann constant).
JEE Main Online Paper (Held On 19 April 2016)
A)
0
done
clear
B)
\[\frac{273{{k}_{B}}}{2Mg}\]
done
clear
C)
\[\frac{546{{k}_{B}}}{3Mg}\]
done
clear
D)
\[\frac{819{{k}_{B}}}{2Mg}\]
done
clear
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question_answer14) A body is in simple harmonic motion with time period half second (T = 0.5 s) and amplitude one cm (A = 1 cm). Find the average velocity in the interval in which it moves form equilibrium position to half of its amplitude.
JEE Main Online Paper (Held On 19 April 2016)
A)
4 cm/s
done
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B)
6 cm/s
done
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C)
12 cm/s
done
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D)
16 cm/s
done
clear
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question_answer15) The total length of a sonometer wire between fixed ends is 110 cm. Two bridges are placed to divide the length of wire in ratio 6 : 3 : 2. The tension in the wire is 400 N and the mass per unit length is 0.01 kg/m. What is the minimum common frequency with which three parts can vibrate?
JEE Main Online Paper (Held On 19 April 2016)
A)
1100 Hz
done
clear
B)
1000 Hz
done
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C)
166 Hz
done
clear
D)
100 Hz
done
clear
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question_answer16) The electric field in a region of space is given by, \[\vec{E}={{E}_{o}}\hat{i}+2{{E}_{o}}\hat{j}\]where \[{{E}_{o}}=100N/C.\]The flux of the field through a circular surface of radius 0.02 m parallel to the YZ plane is nearly:
JEE Main Online Paper (Held On 19 April 2016)
A)
0.125 Nm2/C
done
clear
B)
0.02 Nm2/C
done
clear
C)
0.005 Nm2/C
done
clear
D)
3.14 Nm2/C
done
clear
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question_answer17) The gap between the plates of a parallel plate capacitor of area A and distance between plates d, is filled with a dielectric whose permittivity varies linearly from \[{{\in }_{1}}\] at one plate to \[{{\in }_{2}}\]at the other. The capacitance of capacitor is:
JEE Main Online Paper (Held On 19 April 2016)
A)
\[{{\in }_{0}}\left( {{\in }_{1}}+{{\in }_{2}} \right)A/d\]
done
clear
B)
\[{{\in }_{0}}\left( {{\in }_{2}}+{{\in }_{1}} \right)A/2d\]
done
clear
C)
\[{{\in }_{0}}A/\left[ d/n\left( {{\in }_{2}}+{{\in }_{1}} \right) \right]\]
done
clear
D)
\[{{\in }_{0}}A/\left( {{\in }_{2}}-{{\in }_{1}} \right)A/\left[ d/n\left( {{\in }_{2}}/{{\in }_{1}} \right) \right]\]
done
clear
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question_answer18)
Four bulbs B1, B2, B3 and B4 of 100 W each are connected to 220 V main as shown in the figure. 
The reading in an ideal ammeter will be:
JEE Main Online Paper (Held On 19 April 2016)
A)
0.45 A
done
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B)
0.90 A
done
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C)
1.35 A
done
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D)
1.80 A
done
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question_answer19)
A square frame of side 10 cm and a long straight wire carrying current 1 A are in the plate of the paper. Starting from close to the wire, the frame moves towards the right with a constant speed of \[10m{{s}^{-1}}\] (see figure). 
The e.m.f induced at the time the left arm of the frame is at x = 10 cm from the wire is:
JEE Main Online Paper (Held On 19 April 2016)
A)
2 mV
done
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B)
1 mV
done
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C)
0.75 mV
done
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D)
0.5 mV
done
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question_answer20) An example of a perfect diamagnet is a superconductor. This implies that when a superconductor is put in a magnetic field of intensity B, the magnetic field \[{{B}_{s}}\] inside the superconductor will be such that:
JEE Main Online Paper (Held On 19 April 2016)
A)
\[{{B}_{s}}=-B\]
done
clear
B)
\[{{B}_{s}}=0\]
done
clear
C)
\[{{B}_{s}}=B\]
done
clear
D)
\[{{B}_{s}}<B\]but\[Bs\ne 0\]
done
clear
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question_answer21)
Figure shows a circular area of radius R where a uniform magnetic field \[\vec{B}\]is going into the plane of paper and increasing in magnitude at a constant rate. 
In that case, which of the following graphs, drawn schematically, correctly shows the variation of the induced electric fieldE(r)?
JEE Main Online Paper (Held On 19 April 2016)
A)
done
clear
B)
done
clear
C)
done
clear
D)
done
clear
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question_answer22) If microwaves, X rays, infrared, gamma rays, ultra-violet, radio waves and visible parts of the electromagnetic spectrum by are denoted M, X, I, G, U, R and V then which of the following is the arrangement in ascending order of wavelength ?
JEE Main Online Paper (Held On 19 April 2016)
A)
R, M, I, V, U, X and G
done
clear
B)
M, R, V, X, U, G and I
done
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C)
G, X, U, V, I, M and R
done
clear
D)
I, M, R, U, V, X and G
done
clear
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question_answer23) A ray of light is incident from a denser to a rarer medium. The critical angle for total internal reflection is \[{{\theta }_{iC}}\]and Brewster's angle of incidence is \[{{\theta }_{iB}},\] such that \[\sin {{\theta }_{iC}}/\sin {{\theta }_{iB}}\]\[=\eta =1.28.\] = h = 1.28. The relative refractive index of the two media is:
JEE Main Online Paper (Held On 19 April 2016)
A)
0.2
done
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B)
0.4
done
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C)
0.8
done
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D)
0.9
done
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question_answer24) The diameter of the objective lens of microscope makes an angle \[\beta \] at the focus of the microscope. Further, the medium between the object and the lens is an oil of refractive index n. Then the resolving power of the microscope
JEE Main Online Paper (Held On 19 April 2016)
A)
increases with decreasing value of n
done
clear
B)
increases with decreasing value of \[\beta \]
done
clear
C)
increases with increasing value of \[n\sin \beta \]
done
clear
D)
increases with increasing value of\[\frac{1}{n\sin 2\beta }\]
done
clear
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question_answer25) In a Young's double slit experiment, the distance between the two identical slits is 6.1 times larger than the slit width. Then the number of intensity maxima observed within the central maximum of the single slit diffraction pattern is:
JEE Main Online Paper (Held On 19 April 2016)
A)
3
done
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B)
6
done
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C)
12
done
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D)
24
done
clear
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question_answer26)
Match List - I (Experiment performed) with List-II (Phenomena discovered/associated) and select the correct option from the options given below the lists:
| List -I |
List-II |
| (1) Davisson and Germer experiment |
(i) Wave nature of electrons |
| (2) Millikan?s oil drop experiment |
(ii) Charge of an electron |
| (3) Rutherford experiment |
(iii) Quantization of energy levels |
| (4) Franch-Hertz experiment |
(iv) Existence of nuleus |
JEE Main Online Paper (Held On 19 April 2016)
A)
(1)-(i), (2)-(ii), (3)-(iii), (4)-(iv)
done
clear
B)
(1)-(i), (2)-(ii), (3)-(iv), (4)-(iii)
done
clear
C)
(1)-(iii), (2)-(iv), (3)-(i), (4)-(ii)
done
clear
D)
(1)-(iv), (2)-(iii), (3)-(ii), (4)-(i)
done
clear
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question_answer27) A piece of wood from a recently cut tree shows 20 decays per minute. A wooden piece of same size placed in a museum (obtained from a tree cut many years back) shows 2 decays per minute. If half life of \[{{C}^{14}}\]is 5730 years, then age of the wooden piece placed in the museum is approximately:
JEE Main Online Paper (Held On 19 April 2016)
A)
10439 years
done
clear
B)
13094 years
done
clear
C)
19039 years
done
clear
D)
39049 years
done
clear
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question_answer28)
Given: A and B are input terminals. Logic 1 = > 5 V Logic 0 = < 1 V Which logic gate operation, the above circuit does?
JEE Main Online Paper (Held On 19 April 2016)
A)
AND Gate
done
clear
B)
OR Gate
done
clear
C)
XOR Gate
done
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D)
NOR Gate
done
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question_answer29) Long range radio transmission is possible when the radio waves are reflected from the ionosphere. For this to happen the frequency of the radio waves must be in the range:
JEE Main Online Paper (Held On 19 April 2016)
A)
80 - 150 MHz
done
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B)
8 - 25 MHz
done
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C)
1 - 3 MHz
done
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D)
150 - 1500 kHz
done
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question_answer30)
In an experiment for determining the gravitational acceleration g of a place with the help of a simple pendulum, the measured time period square is plotted against the string length of the pendulum in the figure. 
What is the value of g at the place?
JEE Main Online Paper (Held On 19 April 2016)
A)
\[9.81m/{{s}^{2}}\]
done
clear
B)
\[9.87m/{{s}^{2}}\]
done
clear
C)
\[9.91m/{{s}^{2}}\]
done
clear
D)
\[10.0m/{{s}^{2}}\]
done
clear
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