1.
Which of the following compounds is least reactive towards nucleophilic substitution?
2.
The reaction of ethene with bromine is an example of:
3.
The expression (tan 57 º + cot 37º) / (tan 33º + cot 53º) is equal to
4.
sinx-cosx=1 then the value of sin3x-cos3x=
5.
The color of Cu²⁺ ion in aqueous solution is:
6.
Wavelength of the wave with 30 MHz frequency is
7.
Which of the following has the smallest atomic radius?
8.
Find the order and degree of the differential equation y'''-(4y')3 =0
9.
Which of the following has a minimum wavelength?
10.
A horizontal metal wire is carrying an electric current from the north to the south. Using a uniform magnetic field, it is to be prevented from falling under gravity. The direction of this magnetic field should be towards the
11.
If cos A + cos2 A = 1, then what is the value of 2(sin2 A + sin4 A)?
12.
If the strength of the magnetic field at a point r near a long straight current-carrying wire is B. The value of the field at a distance r/2 will be
13.
Which is the IUPAC name for CH₃CH₂OH?
14.
A batsman hits back a ball straight in the direction of the bowler without changing its initial speed 12m/s. If the mass of the ball is 0.15kg. Impulse imparted on the ball is
15.
Which of the following functions is a solution for the differential equation xy’-y=0?
16.
Which of the following statements is correct for any thermodynamic system?
17.
The acceleration due to gravity becomes g/2 where g = acceleration due to gravity on the surface of the earth at a height equal to
18.
The minimum energy required to remove an electron is called
19.
A curve passes through (1, 1) such that the triangle formed by the coordinate axes and the tangent at any point of the curve is in the first quadrant and has its area equal to 2. What will be the equation of the curve?
20.
Two similar circular loops carry equal currents in the same direction. Un moving the coils further apart, the electric current will
21.
If A = tan 11° tan 29°, B = 2 cot 61° cot 79°, then
22.
Which of the following is used for bleaching cotton?
23.
Which compound has the functional group –COOH?
24.
A convex and a concave lens separated by distance d are then put in contact. The focal length of the combination
25.
A simple pendulum on length l and mass m is suspended vertically. The string makes an angle θ with the vertical. The restoring force acting on the pendulum is
26.
If tan (x + y) tan (x – y) = 1, then the value of tan x is
27.
tan4θ+tan5θ=1 then find tan3θ
28.
Which of the following gases is colorless and odorless?
29.
The number of arbitrary constants in a particular solution of a fourth order differential equation is
30.
Which is amphoteric in nature?
31.
Which of the following statements is true for a dielectric?
32.
Which polymer is used in plastic bottles?
33.
A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled, then the outward electric flux will
34.
Which of the following is a second order differential equation?
35.
In the young's double slit experiment, the two slits S1 and S2 are not equidistant from the monochromatic light source slit S which is illuminating them.Then, the central fringe is
36.
A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the wave at a particular point of space and time is E = 6 V m–1 along the y-direction. Its corresponding magnetic field component, B would be
37.
Which is the major product in the chlorination of methane?
38.
How many arbitrary constants will be there in the general solution of a second order differential equation?
39.
Maximum diffraction takes place in a given slit for
40.
The differential equation of all parabolas whose axis of symmetry is along the axis of the x-axis is of order
41.
If the sum of two vectors is perpendicular to the difference between them. The ratio of their magnitude will be
42.
tan(A+B).tan(A_B)=1 the find tan(2A/3)
43.
Tollen’s reagent is used to detect:
44.
Which of the following process is used to do maximum work done on the ideal gas if the gas is compressed to half of its initial volume?
45.
Which acid is used in car batteries?
46.
Which of the following is not an isomer of butane?
47.
Charged particle ‘q’ moving through a magnetic field with velocity V will have zero magnetic force when the angle is
48.
Family y = Ax + A³ of curves will correspond to a differential equation of order
49.
Which reaction is used for the preparation of alkyl halides?
50.
1 – {sin2 A / (1 + cos A)} + {(1 + cos A) / sin A} – {sin A / (1 – cos A) = ?
51.
Which among the following has the lowest boiling point?
52.
A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle is at 4 cm from the mean position, the magnitude of its velocity in SI units is equal to that of its acceleration. Then, its periodic time in second is
53.
Find the particular solution of the differential equation dy/dx+2x=5 given that y=5, when x=1.
54.
Two tangent galvanometers A and B are identical except in their number of turns. They are connected in series. On passing a current through them, deflections of 600 and 300 are produced. The ratio of the number of turns in A and B is
55.
A circular coil carrying a certain current produces a magnetic field Bo at its centre. The coil is now rewound so as to have 3 turns and the same current is passed through it. The new magnetic field at the centre is
56.
Which of the following is a metalloid?
57.
Which compound has the highest lattice energy?
58.
Which of the following shows optical isomerism?
59.
Which of the following is not a property of transition metals?
61.
In an insulator, band gap of the order of
62.
A vertical microscope is focused on a point at the bottom of an empty tank. Then water (μ=4/3) is poured into the tank up to a height of 4 cm. After which a liquid that does not mix with water is poured over it up to a height of 2 cm above the water. The refractive index of the liquid is 3/2. What should be the vertical distance through which the microscope must be moved to bring the object in focus again?
63.
Isotopes of an element have a different number of
64.
The colours on the soap bubble is due to
65.
If sinθ.cosθ = 1/2, then what is sin6 θ + cos6 θ equal to?
66.
A homogeneous differential equation of the form dx/dy = h(x/y) can be solved by making the substitution
67.
Which of the following is not an inert gas?
68.
Family r = Ax + A³ of curves is represented by the differential equation of degree
69.
The value of (sin 39°) / (cos 51°) + 2 tan11° tan31° tan45° tan59° tan79° – 3 (sin2 21° + sin2 69°) is :
70.
What is cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ) equal to?
71.
Which of the following is a basic oxide?
72.
Choose the equation that cannot represent a plane progressive wave
73.
Choose the factor on which the orbital velocity does not depend when the satellite is orbiting close to the earth’s surface
74.
Which of the following compounds contains coordinate bonds?
75.
If cot A + cosec A = and A is an acute angle, then the value of cos A is
76.
The compound used as an anesthetic is:
77.
A prism has an angle 60 degree and refractive index √2, what is the angle of minimum deviation?
79.
Formalin is a solution of:
80.
A closed organ pipe and an open organ pipe of same length produce 2 beats/second while vibrating in their fundamental modes. The length of the open organ pipe is halved and that of the closed pipe is doubled. Then, the number of beats produced per second while vibrating in the fundamental mode is
81.
If, A normal is drawn at a point P(x, y) of a curve. It meets the x-axis at Q. If PQ is of constant length k. What kind of curve is passing through (0, k)?
82.
Solution of differential equation xdy – ydx = Q represents
83.
What is the value of {(tan A – sin A) / sin3 A} ?
84.
The value of sin (45° + θ) – cos (45° – θ) is
85.
Oxidation state of chromium in K₂Cr₂O₇ is:
86.
Which of the following functions is a solution for the differential equation y”+6y=0?
87.
Which of the following is aromatic?
88.
Aldehydes are oxidized to:
89.
The main product in the dehydration of ethanol is: