1.
Family r = Ax + A³ of curves is represented by the differential equation of degree
2.
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
3.
If the sum of two vectors is perpendicular to the difference between them. The ratio of their magnitude will be
4.
Which of the following is not a property of transition metals?
5.
If cot A + cosec A = and A is an acute angle, then the value of cos A is
6.
Which polymer is used in plastic bottles?
7.
What is the value of {(tan A – sin A) / sin3 A} ?
8.
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
9.
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)?
10.
sinx-cosx=1 then the value of sin3x-cos3x=
12.
The differential equation of all parabolas whose axis of symmetry is along the axis of the x-axis is of order
13.
Which of the following is not an isomer of butane?
14.
The number of arbitrary constants in a particular solution of a fourth order differential equation is
15.
Which of the following has a minimum wavelength?
16.
The value of (sin 39°) / (cos 51°) + 2 tan11° tan31° tan45° tan59° tan79° – 3 (sin2 21° + sin2 69°) is :
17.
If A = tan 11° tan 29°, B = 2 cot 61° cot 79°, then
18.
Maximum diffraction takes place in a given slit for
20.
Which of the following statements is true for a dielectric?
21.
Which reaction is used for the preparation of alkyl halides?
22.
Which of the following is a second order differential equation?
23.
A convex and a concave lens separated by distance d are then put in contact. The focal length of the combination
24.
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?
25.
Which of the following compounds is least reactive towards nucleophilic substitution?
26.
Which is the IUPAC name for CH₃CH₂OH?
27.
Family y = Ax + A³ of curves will correspond to a differential equation of order
28.
Oxidation state of chromium in K₂Cr₂O₇ is:
29.
Formalin is a solution of:
30.
Which is amphoteric in nature?
31.
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
32.
The value of sin (45° + θ) – cos (45° – θ) is
33.
Choose the equation that cannot represent a plane progressive wave
34.
Which of the following compounds contains coordinate bonds?
35.
Isotopes of an element have a different number of
36.
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
37.
The compound used as an anesthetic is:
38.
Which of the following is used for bleaching cotton?
39.
Tollen’s reagent is used to detect:
40.
Which is the major product in the chlorination of methane?
41.
tan(A+B).tan(A_B)=1 the find tan(2A/3)
42.
The main product in the dehydration of ethanol is:
44.
Which of the following has the smallest atomic radius?
45.
Which acid is used in car batteries?
46.
A homogeneous differential equation of the form dx/dy = h(x/y) can be solved by making the substitution
47.
Wavelength of the wave with 30 MHz frequency is
48.
The minimum energy required to remove an electron is called
49.
Which of the following functions is a solution for the differential equation xy’-y=0?
50.
1 – {sin2 A / (1 + cos A)} + {(1 + cos A) / sin A} – {sin A / (1 – cos A) = ?
51.
What is cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ) equal to?
52.
In an insulator, band gap of the order of
53.
Which of the following functions is a solution for the differential equation y”+6y=0?
54.
Which of the following is a basic oxide?
55.
Choose the factor on which the orbital velocity does not depend when the satellite is orbiting close to the earth’s surface
56.
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
57.
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?
58.
Find the particular solution of the differential equation dy/dx+2x=5 given that y=5, when x=1.
59.
Which of the following shows optical isomerism?
60.
If tan (x + y) tan (x – y) = 1, then the value of tan x is
61.
Which of the following is aromatic?
62.
Which compound has the highest lattice energy?
63.
Which compound has the functional group –COOH?
64.
The color of Cu²⁺ ion in aqueous solution is:
65.
The expression (tan 57 º + cot 37º) / (tan 33º + cot 53º) is equal to
66.
The colours on the soap bubble is due to
67.
Which of the following is a metalloid?
68.
tan4θ+tan5θ=1 then find tan3θ
69.
How many arbitrary constants will be there in the general solution of a second order differential equation?
70.
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
71.
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
72.
A prism has an angle 60 degree and refractive index √2, what is the angle of minimum deviation?
73.
Aldehydes are oxidized to:
74.
A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled, then the outward electric flux will
75.
Find the order and degree of the differential equation y'''-(4y')3 =0
76.
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
77.
If sinθ.cosθ = 1/2, then what is sin6 θ + cos6 θ equal to?
78.
If cos A + cos2 A = 1, then what is the value of 2(sin2 A + sin4 A)?
79.
Which of the following is not an inert gas?
80.
Which of the following gases is colorless and odorless?
81.
Which of the following statements is correct for any thermodynamic system?
82.
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?
83.
Two similar circular loops carry equal currents in the same direction. Un moving the coils further apart, the electric current will
84.
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
85.
Solution of differential equation xdy – ydx = Q represents
86.
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
87.
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
88.
Charged particle ‘q’ moving through a magnetic field with velocity V will have zero magnetic force when the angle is
89.
Which among the following has the lowest boiling point?
90.
The reaction of ethene with bromine is an example of: