1.
A homogeneous differential equation of the form dx/dy = h(x/y) can be solved by making the substitution
2.
Which of the following functions is a solution for the differential equation y”+6y=0?
3.
The colours on the soap bubble is due to
4.
The compound used as an anesthetic is:
5.
Family r = Ax + A³ of curves is represented by the differential equation of degree
6.
If cot A + cosec A = and A is an acute angle, then the value of cos A is
7.
A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled, then the outward electric flux will
8.
If the sum of two vectors is perpendicular to the difference between them. The ratio of their magnitude will be
9.
Find the order and degree of the differential equation y'''-(4y')3 =0
10.
If sinθ.cosθ = 1/2, then what is sin6 θ + cos6 θ equal to?
11.
Which of the following is used for bleaching cotton?
12.
Choose the factor on which the orbital velocity does not depend when the satellite is orbiting close to the earth’s surface
13.
Charged particle ‘q’ moving through a magnetic field with velocity V will have zero magnetic force when the angle is
14.
Which of the following statements is correct for any thermodynamic system?
15.
Which among the following has the lowest boiling point?
16.
Which of the following has a minimum wavelength?
17.
Which of the following is not an inert gas?
18.
Which of the following is a second order differential equation?
19.
What is cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ) equal to?
21.
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
22.
The number of arbitrary constants in a particular solution of a fourth order differential equation is
23.
Two similar circular loops carry equal currents in the same direction. Un moving the coils further apart, the electric current will
24.
Which is amphoteric in nature?
25.
Which of the following compounds contains coordinate bonds?
26.
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
27.
The value of (sin 39°) / (cos 51°) + 2 tan11° tan31° tan45° tan59° tan79° – 3 (sin2 21° + sin2 69°) is :
28.
Wavelength of the wave with 30 MHz frequency is
29.
Which compound has the highest lattice energy?
30.
The minimum energy required to remove an electron is called
31.
If tan (x + y) tan (x – y) = 1, then the value of tan x is
32.
If A = tan 11° tan 29°, B = 2 cot 61° cot 79°, then
33.
Oxidation state of chromium in K₂Cr₂O₇ is:
34.
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
35.
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
36.
A prism has an angle 60 degree and refractive index √2, what is the angle of minimum deviation?
37.
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
38.
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?
39.
A convex and a concave lens separated by distance d are then put in contact. The focal length of the combination
40.
The differential equation of all parabolas whose axis of symmetry is along the axis of the x-axis is of order
41.
Which reaction is used for the preparation of alkyl halides?
42.
tan4θ+tan5θ=1 then find tan3θ
43.
Isotopes of an element have a different number of
44.
Which polymer is used in plastic bottles?
45.
How many arbitrary constants will be there in the general solution of a second order differential equation?
46.
Which of the following is aromatic?
47.
The value of sin (45° + θ) – cos (45° – θ) is
48.
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
49.
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)?
50.
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
52.
Which of the following is not an isomer of butane?
53.
Which of the following gases is colorless and odorless?
54.
Maximum diffraction takes place in a given slit for
55.
Which of the following has the smallest atomic radius?
56.
Find the particular solution of the differential equation dy/dx+2x=5 given that y=5, when x=1.
57.
Which of the following statements is true for a dielectric?
58.
Family y = Ax + A³ of curves will correspond to a differential equation of order
59.
Choose the equation that cannot represent a plane progressive wave
60.
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
62.
Which of the following compounds is least reactive towards nucleophilic substitution?
63.
What is the value of {(tan A – sin A) / sin3 A} ?
64.
Aldehydes are oxidized to:
65.
The main product in the dehydration of ethanol is:
66.
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?
67.
Which of the following functions is a solution for the differential equation xy’-y=0?
68.
Which of the following shows optical isomerism?
69.
Which of the following is a metalloid?
70.
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?
71.
tan(A+B).tan(A_B)=1 the find tan(2A/3)
72.
Which of the following is not a property of transition metals?
73.
1 – {sin2 A / (1 + cos A)} + {(1 + cos A) / sin A} – {sin A / (1 – cos A) = ?
74.
Formalin is a solution of:
75.
sinx-cosx=1 then the value of sin3x-cos3x=
76.
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
77.
If cos A + cos2 A = 1, then what is the value of 2(sin2 A + sin4 A)?
78.
Which is the major product in the chlorination of methane?
79.
The reaction of ethene with bromine is an example of:
80.
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
81.
Which compound has the functional group –COOH?
82.
Which of the following is a basic oxide?
83.
The expression (tan 57 º + cot 37º) / (tan 33º + cot 53º) is equal to
84.
The color of Cu²⁺ ion in aqueous solution is:
85.
Solution of differential equation xdy – ydx = Q represents
86.
In an insulator, band gap of the order of
87.
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
88.
Which acid is used in car batteries?
89.
Which is the IUPAC name for CH₃CH₂OH?
90.
Tollen’s reagent is used to detect: