WorksheetsQuiz - JEE 12+
Total questions: 60
Worksheet time: 2hrs 38mins
Name
Class
Date
1.
None
a)
A
b)
B
c)
C
d)
D
2.
Cu2+ salt reacts with potassium iodide to give
a)
Cu2I2
b)
Cu2I3
c)
CuI
d)
CuI3
3.
None
a)
A
b)
B
c)
C
d)
D
4.
None
(a)
5.
None
(a)
6.
None
a)
A
b)
B
c)
C
d)
D
7.
How many pi-bonds are present in C2 molecule?
a)
2
b)
1
c)
0
d)
4
8.
None
a)
A
b)
B
c)
C
d)
D
9.
None
a)
A
b)
B
c)
C
d)
D
10.
None
a)
A
b)
B
c)
C
d)
D
11.
None
a)
A
b)
B
c)
C
d)
D
12.
None
a)
A
b)
B
c)
C
d)
D
13.
None
a)
A
b)
B
c)
C
d)
D
14.
None
a)
A
b)
B
c)
C
d)
D
15.
A reaction attains equilibrium,when the free energy change is
(a)
16.
The density of a solution prepared by dissolving 120 g of urea (mol. mass = 60 u) in 1000 g of water is 1.15 g/mL. The molarity of this solution is
a)
2.05M
b)
0.50M
c)
1.78M
d)
1.02M
17.
The rate law for the reaction below is given by the expression k[A] [B] A + B → Product If the concentration of B is increased from 0.1 to 0.3 mole, keeping the value of A at 0.1 mole, the rate constant will be
a)
3K
b)
9K
c)
K/3
d)
K
18.
Calculate the standard cell potential (in V) of the cell in which the following reaction takes place. Fe2+ (aq) + Ag+ (aq) → Fe3+ (aq) + Ag(s) Given that E°Ag+/Ag = x V; E°Fe2+/Fe = y V; E°Fe3+/Fe = z V
a)
X-Z
b)
X-Y
c)
X+2Y-3Z
d)
X+Y-Z
19.
Which one of the following conformations of cyclohexane is chiral?
a)
Boat
b)
Twisted Boat
c)
Chair
d)
Rigid
20.
Bond order of BN is (a)
21.
The distance, from the origin, of the normal to the curve, x=2cost+2tsint,y=2sint−2tcost at t= 4 π , is
a)
2
b)
√2
c)
2√2
d)
4
22.
If the tangent to the conic, y−6=x 2 at (2, 10) touches the circle, x 2 +y 2 +8x−2y=k (for some fixed k) at a point (α,β); then (α,β) is;
a)
(-4/17, 1/17)
b)
(-7/17, 6/17)
c)
(-8/17, 2/17)
d)
(-6/17, 10/17)
23.
If the points (1,1,λ) and (−3,0,1) are equidistant from the plane, 3x+4y−12z+13=0, then λ satisfies the equation :
a)
3x^2-10x+21=0
b)
3x^2+10x+7=0
c)
3x^2+10x-13=0
d)
3x^2-10x+7=0
24.
None
a)
5/4
b)
3
c)
3/2
d)
2
25.
None
a)
6
b)
12
c)
18
d)
36
26.
None
a)
-2
b)
-3
c)
-4
d)
Does Not Exist
27.
None
a)
a=1
b)
a= -1
c)
b= 7.5
d)
b= -7.5
28.
None
a)
3/14
b)
11/14
c)
5/15
d)
9/14
29.
None
a)
1/6
b)
2/3
c)
1/4
d)
1/3
30.
None
a)
0
b)
-2017
c)
-2018
d)
1
31.
None
a)
-48
b)
48
c)
0
d)
1
32.
The general equation of the differential equation dy/dx + sin((x+y)/2) = sin((x-y)/2) is
a)
log tan(y/2)= C-2sinx
b)
log tan(y/4)= C-2sin(x/2)
c)
log tan (y/2 +𝝅/4 ) = C − 2 sin x
d)
none of these
33.
None
a)
any real number
b)
(4+π)/2
c)
(8+π)/4
d)
(6+π)/2
34.
If cosα+cosβ= 3/2 and sinα+sinβ= 1/2 and θ is the arithmetic mean of α and β, then sin2θ+cos2θ is equal to
a)
7/5
b)
4/5
c)
3/5
d)
8/5
35.
None
a)
A
b)
B
c)
C
d)
D
36.
If the mean and variance of binomial variate X are 2 and 1 respectively, then the probability that X takes a value greater than one is equal to
a)
1/16
b)
3/4
c)
11/16
d)
15/16
37.
None
a)
A
b)
B
c)
C
d)
D
38.
None
a)
A
b)
B
c)
C
d)
D
39.
If a , b are odd integers , then the roots of the equation 2ax^(2) + (2a+b)x + b = 0 , a not equal to zero
a)
rational
b)
non real
c)
irrational
d)
equal
40.
The value of a for which sum of the squares of the roots of the equation x^(2) - (a - 2)x - a - 1 = 0 assumes the least value is
a)
2
b)
1
c)
7
d)
0
41.
A uniform slender rod of length L, cross-sectional area A and Young's modulus Y is acted upon by the forces shown in the figure. The elongation of the rod is:
a)
3FL/5AY
b)
2FL/5AY
c)
3FL/8EY
d)
8FL/3AY
42.
The actual value of resistance R , shown in the figure is 30 Ω . This is measured in an experiment as shown using the standard formula R=V/I. where V and I are the reading of the voltmeter and ammeter, respectively. If the measured value of R is 5 % less, then the internal resistance of the voltmeter is
a)
600Ω
b)
570Ω
c)
35Ω
d)
350Ω
43.
A block of ice with mass m falls into a lake. After impact, a mass of ice m/5 melts. Both the block of ice and the lake have a temperature of 0°C. If L represents the heat of fusion, the minimum distance the ice fell before striking the surface is
a)
L/5g
b)
5L/g
c)
gL/5m
d)
mL/5g
44.
Distance of the center of mass of a solid uniform cone from its vertex is Z0 . If the radius of its base is R and its height is h then Z0 is equal to :
a)
5h/8
b)
3h^2/8R
c)
h^2/4R
d)
3h/4
45.
Heat energy of 735 J is given to a diatomic gas allowing the gas to expand at constant pressure. Each gas molecule rotates around an internal axis but do not oscillate. The increase in the internal energy of the gas
a)
525
b)
441
c)
572
d)
735
46.
A hollow conducting sphere of radius R and total charge q rotates about its diametrical axis with constant angular speed ω . The magnitude of magnetic moment of the sphere is :
a)
qR^2ω/3
b)
2qR^2ω/3
c)
qR^2ω/5
d)
2qR^2ω/5
47.
A particle is dropped under gravity from rest from a height h(g=9.8m/s2). and it travels a distance 9h/25 in the last second, the height h is
a)
100m
b)
122.5m
c)
145
d)
167.5
48.
An object is allowed to fall from a height R above the earth, where R is the radius of the earth. Its velocity when it strikes the earth’s surface, ignoring air resistance, will be
a)
2√ g R
b)
√2 g R
c)
√ g R/2
d)
√ g R
49.
One mole of an ideal gas is taken through an adiabatic process where the temperature rises from 27°C to37°C. If the ideal gas is composed of polyatomic molecule that has 4 vibrational modes, which of the following is true?
a)
work done by the gas is close to 332 J
b)
work done on the gas is close to 582 J
c)
work done by the gas is close to 582 J
d)
work done on the gas is close to 332 J
50.
In the given circuit of potentiometer, the potential difference E across AB (10 m length) is larger than E_{1} and E_{2} as well. For key K_{1} (closed), the jockey is adjusted to touch the wire at point J_{1} so that there is no deflection in the galvanometer. Now the first battery (E_{1}) is replaced by second battery (E_{2}) for working by making K_{1} open and K_{2} closed. The galvanometer gives then null deflection at J₂.
(a)
51.
A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a charge −3Q, the new potential difference between the same two surfaces is
a)
V
b)
2V
c)
4V
d)
-2V
52.
A body floats with (1/3) of its volume outside water when submerged in water and (5/9) of its volume outside another liquid when submerged in another liquid. If density of liquid is n x10³(kg/m³). Find 10n
(a)
53.
A soap bubble is being blown on a tube of radius 1cm. The surface tension of the soap solution is 0.05N/m and the bubble makes an angle of 60° with the tube as shown. The excess of pressure over the atmospheric pressure in the tube is (in Pa)
(a)
54.
Which of the following equations represents a travelling wave?
a)
y = Ae^x.cos (wt - θ)
b)
y=Ae^(-x²). (vt + θ)
c)
y = Asin (15x-2t)
d)
y = Asinxcoswt
55.
Two pendulums of lengths 1.44 and 1 metre length start swinging together. After how many vibrations they will again start swing together?
a)
3
b)
4
c)
5
d)
6
56.
When a certain photosensitive surface is illuminated with monochromatic light of frequency f, the stopping potential for the photocurrent is (-V0/2). When the surface is illuminated by monochromatic light of frequency f/2, the stopping potential is –V0. The threshold frequency for photoelectric emission is
a)
4f/3
b)
2f
c)
5f/3
d)
f/2
57.
The eye can be regarded as a single refracting surface. The radius of curvature of this surface is equal to that of the cornea (7.8 mm). This surface separates two media of refractive indices 1 and 1.34. Calculate the distance from the refracting surface at which a parallel beam of light will come to focus
a)
4.5cm
b)
1cm
c)
3.1cm
d)
5.3cm
58.
The electrical conductivity of a semiconductor increases when electromagnetic radiation of a wavelength shorter than 2480 nm is incident on it. The bandgap in (eV) for the semiconductor is
a)
0.5ev
b)
0.7ev
c)
1.1ev
d)
2.5ev
59.
A telephonic communication service is working at a carrier frequency of 10 GHz. Only 10% of it is utilized for transmission. How many telephonic channels can be transmitted simultaneously if each channel requires a bandwidth of 5 kHz?
a)
2 × 10^3
b)
2 × 10^4
c)
2 × 10^5
d)
2 × 10^6
60.
The parallel combination of two air filled parallel plate capacitors of capacitance C and nC is connected to a battery of voltage, V. When the capacitors are fully charged, the battery is removed and after that a dielectric material of dielectric constant K is placed between the two plates of the first capacitor. The new potential difference of the combined system is
a)
V
b)
(n+1)V/(K+n)
c)
nV/(K+n)
d)
V/(K+n)
100 %
