A cell of 1.5 V is connected across an inductor of 2 mH in series with a 2Ω resistor. The rate of growth of current immediately after the cell is switched ON, is
The element used for radioactive carbon dating for more than 56000 years is
A free body of mass 8 kg is travelling at 2 mts per second in a straight line. At a certain instant, the body splits into two equal parts due to internal explosion which releases 16 joules of energy. Neither part leaves the original line of motion finally
A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle is
i.e. speed of the particle is independent of r
During Xray formation if voltage is increased
A cell supplies a current of 0.9 A through a 2Ω resistor and a current of 0.3 A through a 7Ω resistor. The internal resistance of the cell is
We know E = i(R + r)
A rod of length l and radius r is joined to a rod of length l/2 and radius r/2 of same material.The free end of small rod is fixed to a rigid base and the free end of larger rod is given a twist of θº, the twist angle at the joint will be
A 5 cm long solenoid having 10 cm resistance and 5 mH inductance is joined to a 10 V battery. At steady state, current through solenoid is
At steady state, inductance is ineffective
I = V/R = 10/10 = 1A
Stack Pointer (SP) alway holds the address of the:
The electrical conductivity of the earth's atmosphere increases with altitude due to
A body of mass m is taken to the bottom of a deep mine. Then
A body of 5 kg weight kept on a rough inclined plane of angle 30^{0} starts sliding with a constant velocity. Then the coefficient of friction is (assume g=10 m/s^{2})
Two cylinders of equal size are filled with equal amount of ideal diatomic gas at room temperature. Both the cylinders are fitted with pistons. In cylinder A the piston is free to move, while in cylinder B the piston is fixed. When same amount of heat is supplied to both the cylinders, the temperature of the gas in cylinder A raises by 20º K. What will be the rise in temperature of the gas in cylinder B?
For gas in cylinder A,
A cylinder of 5 L capacity, filled with air at N.T.P. is connected with another evacuated cylinder of 30 L of capacity. The resultant air pressure in both the cylinders will be
A body of mass 1 kg is suspended by a thread. It is (i) lifted up with an acceleration 4.9 m−s⁻^{2}.(ii) lowered with an acceleration 4.9 ms⁻^{2}. The ratio of tensions in the thread is
A charge q moves on a region where electric field and magnetic field both exist, then force is
The magnetic field intensity at a point distance 'r' from a short magnet is proportional to
If the radius of a soap bubble is four times that of another, then the ratio of their pressures will be
If ball A is dropped from the top of a building and another ball B is thrown horizontally from the same height at the same moment with the same velocity, then ball
When forces F₁,F₂,F₃ are acting on a particle of mass m such that F₂ and F₃ are mutually perpendicular, then the particle remains stationary. If the force F₁ is now removed then the acceleration of the particle is
Which of the following is a scalar quantity?
The time period of a mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be
A wooden sphere and a metal sphere of the same mass are thrown vertically up in air of density ρ with the same velocity υ m/sec (neglecting the viscous drag of air), then
When the temperature of a gas filled in a closed vessel is increased by 1º C, its pressure increases by 0.4%. The initial temperature of the gas was
Two waves are said to be coherent if they have
An electric motor operators at 20 revs⁻^{1}. What will be the power delivered by the motor, if it supplies a torque of 75 Nm?
The time dependence of a physical quantity p is given by
p=p₀ exp(α t^{2}). The constant α
A spherical soap bubble has a radius 'r'. The surface tension of the soap film is T. The energy needed to double the diameter of the bubble at the same temperature is
A steel meter scale is to be ruled so that millimeter intervals are accurate within about 5 x 10^{−5} mm at a certain temperature. The maximum temperature variation allowable during the ruling is [coefficient of linear expansion of steel = 10 x 10^{−6} k^{−1} ]
When a current passes through the junction of two different metals, evolution or absorption of heat at the junction is known as
The factor not needed to calculate heat lost or gained, when there is no change of state, is
The unit of power is
Which one of the following properties of light does not support wave theory of light?
When temperature increases, the frequency of a tuning fork
Out of a pair of identical springs of spring constant 240 N/m, one is compressed by 10 cm and the other is extended by 10 cm. The difference of the stored potential energies of the two springs is
If g(x) is a polynomial satisfying g x g y = g x + g y + g x y − 2 for all real x and y and g 2 = 5, then lim x → 3 g x is
Putting x = 2 and y = 1, we gave
g(2) g(1) = g(2) + g(1) + g(2)  2
⇒ 5g(1) = 8 + g(1)
⇒ g(1) = 2
Putting y = 1 x in the given equation, we have
g(x) g( 1 x ) = g(x) + g( 1 x ) + g(1)  2
= g(x) + g( 1 x )
g(x) = x^{n} + 1 or g(x) =  x^{n} + 1
But 5 = g(2) =  2^{n} + 1
so  2^{n} = 4 which is not possible
Thus 5 = g(2) = 2^{n} + 1
⇒ n = 2
H e n c e , lim x → 3 g x = lim x → 3 x 2 + 1 = 10
If matrices AB=0
If A = [ 1 0 0 0 ] , B = [ 0 0 0 1 ]
A B = [ 0 0 0 0 ]
Here A ≠ 0, B ≠ 0 but AB = 0
Divide 64 into two parts such that the sum of the cubes of two parts is minimum. The two parts are
A frequency distribution having two modes is said to be:
One series containing 3 numbers has mean 8, variance 24 and the second series containing 5 numbers has mean 8, variance 18. Then the variance of the combined data is
The angle between lines given by x^{2}+4y^{2}7xy=0 is
If eight persons are to address a meeting then the number of ways in which an M.P. must speak before the local M.L.A. is
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
If the sides of a triangle are proportional to the cosines of the opposite angles then the triangle is
The number of the real solutions of the equation x^{2}3x+2 = 0 is
The sum of infinite terms of the geometric progression (√2 + 1)/(√2  1), (1) /(2  √2), (1/2), ... is
The number of proper subsets of the set {1,2,3} is
The derivative of tan 1 1 + x 2 − 1 x with respect to tan 1 x is :
The coordinates of foot of perpendicular from origin to the line 3x+4y5=0 is
The coordinates of the point on the curve y = x^{2} + 3x + 4 the tangent at which passes through the origin is equal to
A random variable X follows the following distribution
X = x i : 0 1 2 3 P X = x i : 2 6 3 6 0 6 1 6
The mean and the variance are
The solution set of (2cosx1) (3+2cosx) = 0 in the interval 0≤x≤2π is
The value of 2 cos (x+π/3) is
A unit vector perpendicular to each of the vectors (6î+8k̂), (8î+6k̂) forming a right handed system is
The unit vector perpendicular to each of the vector and is
How many isomeric acyclic alcohols and ethers are possible for C₄H₈O?
Cannizzaro's reaction is not given by
Which one of the following compounds gives acetylene upon reaction with water?
Distinguishing reagent between silver and lead salts is
Which one of the following is used in the preparation of styrene?
In a given atom, no two electrons can have the same values of all the quantum numbers. This is called
The set of numerical coefficients that balances the chamical equation K₂CrO₄ + HCl → K₂Cr₂O₇ + KCl + H₂O
When the degrees of dissociation of benzoic acid, salicylic acid and 2, 6dihydroxy benzoic acid are compared, it will be found that the degree of dissociation of :
Reaction of O₂ and CO with haemoglobin gives
A compound with molecular mass 180 is acylated with CH_{3}COCl to get a compound with molecular mass 390. The number of amino groups present per molecule of the former compound is:
One of the following examples exhibits transient existence
Standard molar enthalpy of formation of CO₂ is equal to
The law of mass action was given by
For a first order reaction, the halflife period is independent of
For which of the reactions, the entropy change (ΔS) is negative ?
1. C(s) + H₂O(g) → CO(g) + H₂(g)
2. N₂(g) + 2O₂(g) → 2NO₂(g)
3. N₂(g, 10atm) → N₂(g, 1 atm)
4. O₂(g, 1 atm) → O₂(g, 10 atm) Select the correct answer using the codes given below :
Which of the following ingredients is not used in sun burn creams?
The IUPAC name of CH₃CH=CHCOOC₂H₅ is
The correct order of Atomic size is
As we move from left to right in a period, nuclear charge increases by one unit in each succeeding element while the number of the shells remain the same. Due to this enhanced nuclear charge, the electrons of all the shells are pulled little closer to the nucleus, thereby making each individual shell smaller and smaller. This results in a decrease of the atomic radius. But the atomic radius abruptly increases as we move from halogens to inert gases. This is due to the reason that in case of inert gases all the orbitals are completely filled and hence the interelectronic repulsions are maximum. Moreover, in case of inert gases, the atomic size is expressed in terms of van der Waal's radius since they do not form covalent bonds while in case of all other elements, the atomic size is expressed in terms of covalent radius. Since the van der Waal's radius is larger than covalent radius, therefore the atomic radius of inert gases is highest in a period.
Conductivity (Unit : siemen's S) is directly proportionally to the area of the vessel and the concentration of the solution in it and is inversely proportional to the length of vessel, then the unit of constant of proportionality is
0.24 g of a volatile gas upon vapourisation gives 45 ml vapour of N.T.P. what will be vapour density of the substance ? (Density of H₂ = 0.089 gl⁻^{1})
In FriedalCraft's alkylation besides AlCl₃ the other reactants are
pH of a solution is defined by the expression
A molecule is said to be chiral if it
The radiation which has highest penetrating power is
A gaseous carbon compound is soluble in dilute HCl. The solution, on treating with NaNO₂, gives off nitrogen leaving behind a solution which smells like wood spirit .The carbon compound is
Conversion of ethyl alcohol into acetaldehyde is an example of
There is formation of precipitate almost instantly when alcoholic AgNO_{3} reacts with
Which one of the following pairs is not correctly matched?
In paper chromatography,
Which of the following has the same oxidation state as that of Cr in K₂CrO₃
The edge length of face centred unit cubic cell is 508 pm. If the radius of the cation is 110 pm, the radius of the anion is
Osmotic pressure can be increased by
A graph between the amount adsorbed (x/m) and temperature at a constant pressure temperature is called
If two moles of an ideal gas at 546 K occupy volume of 44.8 L, then pressure must be
Ideal gas equation : PV = nRT
n = 2 mol
V = 44.8 L
T = 546 K
R = 0.0821 L atm K^{1} mol^{1}
By putting these values in equation
:
4 gram of hydrocarbon (C_{x} H_{y}) on completely compustion gave 12 gram of CO_{2}.What is the empirical formula of the hydrocarbon
The angle between tangents to the curves y = x^{2} and x = y^{2} at (1, 1) is
The area bounded y = x^{2} + 2, Xaxis, x = 1 and x = 2 is
If the sum of the coefficients in the expansion of (α^{2}x^{2}  2αx + 1)^{51} vanishes, then α is equal to
The line x/a  y/b = 1 cuts the xaxis at p. The equation of the line thro' P and perpendicular to the given line is
At what point does the line y=x+√2a touch the circle x^{2}+y^{2}=a^{2}?
If (cosθ + sinθ)(cos 2θ + i sin 2θ)....(cos nθ + i sin nθ) = 1, the value of θ is
The straight line y=2x+λ does not meet parabola y^{2}=2x if
Let f (x) can be continuous at x = 0
The solution of the equation (cosecx logy)dy+(x^{2}y)dx=0 is
If y =
If A is an invertible matrix of order n, then the determinant of adj A is equal to
tan⁻^{1}(1/4)+ tan⁻^{1}(2/9) is equal to
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