A series A.C. circuit consist of an inductor and a capacitor. The inductance and capacitance is respectively 1 henry and 25μF. If the current is maximum in circuit then angular frequency will be
The mass of an α-particle is
A body 'x' with a momentum 'P' collides with another identical stationary body 'y' one dimensionally. During the collision 'y' gives an impulse 'j' to the body 'x'. Then the coefficient of restitution is
The driver of a car travelling at velocity υ suddenly see a broad wall in front of him at a diatance d. He should
A metal bar of length L and area of cross-section A is clamped between two rigid supports. For the material of the rod, its Young's modulus is Y and coefficient of linear expansion is α. If the temperature of the rod is increased by ∆tºC, the force exerted by the rod on the supports is
Two electric bulbs A and B rated as 60 W and 100 W. If they are connected in parallel to the same source, then
According to photon theory of light which of the following physical quantities associated with a photon do not/does not change as it collides with an electron in vacuum
A coil having 500 square loops of side 10 cm is placed normal to magnetic field which increases at a rate of 1 T/sec. The induced e.m.f. is
A body of 2 gm carrying a charge of 0.1 μC starts from rest at the positive plate and moves to the negative plate of a parallel plate condenser connected to a voltage supply of 30KV. The final velocity is
If two input terminals of NANS gate are shorted, then it is equivalent to:
One feels hotter at the top of a flame than the sides because of
A satellite which is geostationary in a particular orbit is taken to another orbit. Its distance from the centre of earth in new orbit is 2 times that of the earlier orbit. The time period in the second orbit is
A 30 kg box has to move up an inclined slope of 30º to the horizontal at a uniform velocity of 5 m s − 1 . If the frictional force retarding the motion is 150N, the horizontal force in newton to move up is (g = 10ms−2 ).
Maximum density of H₂O is at the temperature
A force of 10 N acts on a body of mass 20 kg for 10 seconds. Change in its momentum is
A charged particle is released from rest in a region of steady and uniform electric and magnetic fields, which are parallel to each other. The particle will move in a
A short magnetic needle is pivoted in a uniform magnetic field of strength 1 T. When another magnetic field of strength √3 T is applied to the needle in a perpendicular direction, then the angle through which the needle will deflect, is
Oil spreads over the surface of water, whereas water does not spread over the surface of oil, because
Which of the following is a scalar quantity?
A rocket is fired upward from the earth's surface such that it creates an acceleration of 19.6 m/sec2. If after 5 sec its engine is switched off, the maximum height of the rocket from earth's surface would be
The average resisting force that must act on a 5 kg mass to reduce its speed from 65 cm/s to 15 cm/s in 0.2s is
Average value of K.E. and P.E. over entire time period is
If the horizontal range of a projectile is equal to the maximum height reached, then the corresponding angle of projection is
Horizontal range = maximum height reached
tanθ = 4
θ = tan-1 4
The Bernoulli's theorem is based on the conservation of
A ray of monochromatic light is incident on one refracting face of a prism of angle 75º . It passes through the prism and is incident on the other face at the critical angle. If the refractive index of the material of the Prism is √ 2 , the angle of incidence on the first face of the prism is
Two bodies of different masses of 2 kg and 4 kg are moving with velocities 2 m/s and 10 m/s towards each other due to mutual gravitational attraction. What is velocity of their centre of mass ?
The speed of a boat is 5km/h in still water. It crosses a river of width 1.0 km along the shortest possible path in 15 minutes. The velocity of the river is (in km/h)
The work done in blowing a soap bubble of radius r of the solution of surface tension T will be
A body at .... emits no heat energy.
The relation between Faraday constant (F), chemical equivalent (E) and electrochemical equivalent (Z) is
If a gas is heated at constant pressure, its isothermal compressibility
The dimensions of Planck's constant and angular momentum are respectively
Who was the first to demonstrate the phenomenon of interference of light?
In a stationary wave, all particles are
A block of mass 1 kg slides down a rough inlclined plane of inclination 600 starting from its top. If coefficient of kinetic friction is 0.5 and length of the plane is 1 m, then work done against friction is
Ethylidene chloride on treatment with aq. KOH gives
What compound will form when phenol vapour is heated with zinc powder
When acetylene passed through dil. H2SO4 in presence of HgSO4, the compound formed is
Mark the compound which is soluble in hot water
Product A is
The toal number of possible values of magnetic quantum number for the value of l=3 is
Galactose is converted into glucose in
The percentage of oxygen in NaOH is
How many σ and π bonds are there in the molecule of tetracyanoethylene ?
What is the main reason for the fact that carboxylic acids can undergo ionization?
The standard molar heat of formation of ethane ,CO₂ and water (l) are respectively -21.0,-94.1 and -68.3 Kcal mol⁻1. The standard molar heat of combustion of ethane will be
when a catalyst is added to a reversible reaction in equilibrium state, the value of equilibrium constant
For the first order reaction with rate constant K, which expression gives the half-life period ?
Calculate enthalpy of formation of ethylene from the following data:
Arsenic drugs are mainly used in the treatment of
The systematic name of (CH₃)₂CH-COOH is
The ionisation potential is lowest for the
In the periodic table, the ionisation potential is lowest for the alkali metals because the alkali metals have only one electron in the outermost s-orbital.
The resistance of 1 N solution of acetic acid is 250 ohms when measured in a cell constant 1.5 cm ⁻1.The equivalent conductance of 1 N acetic acid in ohm⁻1 cm2 equiv⁻1 is
50 ml of hyffuses out through a small hole from a vessel in 20 minutes, time needed for 40 ml of oxygen to diffuse out is
When petroleum is heated gradually,the first batch of vapours evolved will be rich in
Which has the highest pH ?
n-Propyl alcohol and isopropyl alcohols are examples of
If 2.0 g of a radioactive isotope has-life of 20 hr., the half-life of 0.5 g of the same substance is
Which of the following does not ast as an intermediate in Hofmann rearrangement ?
Which of the following compound will give brisk effervescences of CO₂ on treatment with NaHCO₃ ?
Which is not the resonance structure of aniline?
Peptide bond is a key feature in
If 0.6387 of plantinichloride of a monoacid base on ignition gave 0.209g of platinum, then molecular weight of the base is
In which of the following reaction H₂O₂ is a reducing agent?
The structure of rock salt is
Which of the following aqueous solution will exhibit the highest boiling point?
20 litres of hydrogen gas weigh about
Two elements, X (at. wt. 75) and Y (at. wt. 16) combine to give a compound having 75.8% of X. The formula of the compound is
Which of the following is an incorrect statement for physiosorption?
The two curves x = y2, xy = a3 cut orthogonally at a point, then a2 =
The area contained between the curve xy = a2 , the vertical line x = a, x = 4a (a > 0) and x -axis is
If (1+x-2x2)6 = 1+a₁x+a2x3+a12x12, then the value of a₂+a₄+...+a₁₂ is
The reflextion of the point (4, -13) to the line 5 x + y + 6 = 0 is
The equation of the circle whose centre lies on x+2y-3=0 and passes through the intersection of x2+y2-2x-4y+1=0 and x2+y2-4x-2y+4=0 is
The real part of 1/(1-cosθ + i sinθ) is
If x+2y=1,(2,1) and 2 are the directrix, focus and eccentricity of the hyperbola, then its equation is
Let f(x) =
If f x is continuous at
If then x =
x dx+y dy+z dz=0 is the first-order differential equation of :
If x=a[(cost)+(log tan(t/2))], y=a sint, (dy/dx)=
The inverse of matrix
tan⁻¹(1/4) + tan⁻¹(2/9) is equal to
The value of the lim
A3 − 4A2 − 6A =
The maximum area of the rectangle that can be inscribed in a circle of radius r is
If the minimum value in a set is 15 and its range is 55, the maximum value of the set is
Inter Quartile Range is _____ of Quartile Deviation.
If Equation Ax2+2Bxy+Cy2+Dx+Ey+F=0 represent a pair of lines, then B2-AC is
The number of diagonals that can be drawn by joining the vertices of a heptagon is :
Let A and B be two independent events with probability P(A) : 0 < P (A) < 1,
P (B) : 0 < P (B) < 1 , then
If the exradii of a triangle are in HP then the corresponding sides are in
are in AP
⇒s-a, s-b,s-c are in AP
⇒ -a,-b,-c are in AP
If 2a + 3b + 6c = 0, then at least one root of the equation ax2 + bx + c = 0 lies in the interval
Take the equation 2ax3 + 3bx2 + 6cx = 0.
Clearly, x = 0, 1 are two roots.
Observe that ax2 + bx + c = 0 is the derived equation.
So, one root lies between 0 and 1.
If y = xlog x , then dy/dx equals-
If A, B and C are non-empty sets, then (A - B} ∪ (B - A) equals
The sides of a triangle are x-3y=0, 4x+3y=5 and 3x+y=0. The line 3x-4y=0 passes through following
The sum of the series 1.32 + 2.52+ 3.72 +.....upto 20 terms is
If at any point on the curve y = f(x), the length of the subnormal is constant, then the curve will be a
In an experiment the success is twice that of failure. If the experiment is repeated 6 times, the probability that atleast 4 times favourable is
The number of solutions of 2sin2θ=4+3cosθ in the interval (0,2π) is
If A lies in the 2nd quadrant and 3 tan A+4=0 then the value of 2 cot A-5 cos A+sinA is equal to
If is equal to
The vector lies in the plane of vectors which of the following is correct ?