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Two particles having mass M and m are moving in a circular having radius R and r. If their time periods are same then the radio of angular velocity will be
If A is the mass no. of an element, then volume of the nucleus of an atom of this element is proportional to
Which one of the following is not made of soft iron
When Xrays pass through a strong uniform magnetic field, then they
The r.m.s. value of an a.c. of 50 Hz is 10A. The time taken by a.c. in reaching from zero to maximum value and the peak value of current will be
An electric dipole is placed along the Xaxis at the origin O. A point P is at a distance of 20 cm from this origin such that OP makes an angle π/3 with the X axis. If electric field at P makes an angle θ with Xaxis, the value of θ is
A monkey of mass 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it, but will break if the mass exceeds 25 kg. What is the maximum acceleration, with which the monkey can climb up along the rope? (Take g = 10 m−s⁻^{2})
Electric field at the centroid of a triangle carrying q charge at each corner is
A ball of wt. 0.1 kg coming with speed 30 m/s strikes with a bat and returns in opposite direction with speed 40 m/s, then impulse is
A galvanometer having a resistance of 8 Ω is shunted by a wire of resistance 2 Ω. If the total current is 1 A, then current passing through the shunt will be
The logic circuit shown below has the input wave forms 'A' and 'B' as shown. Pick out the correct output wave form.
A motor boat of mass 300 kg is standing in water. If the area of the bottom surface is 120 m^{2}, then the boat will exert a pressure of (Take g=10 ms⁻^{2})
The function of the moderator in a nuclear reactor is
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer
Assertion(A): In general magnetic force between two charges is much smaller compared to the electric force .
Reason(R): In general velocity of charges << velocity of light in free space.
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer
Assertion(A): Speed of light in water is less than the speed in air.
Reason(R): Refractive index of water is greater than one .
For motion in a plane with constant acceleration, a → , initial velocity v 0 → and final velocity ν → after time t, we have
The least coefficient of friction for an inclined plane inclined at angle α with horizontal in order that a solid cylinder will roll down it without slipping is
A measure of the degree of disorder of a system is known as
'Coefficient of friction' is a physical quantity that has no unit and no dimensions.
Though energy density and pressuire have the same dimensions, they do not share the same units, hence they are different physical quantities.
In young's double slit experiment, the intensity of central maximum is I. It one slit is closed, the intensity at the same place will become
A transverse progressive wave is given by the equation y = 2 cos [π (0.5x  200t)], where x and y are in cm and t in sec. Which of the following statement is true for this wave
Which one of the following statements is WRONG in the context of Xrays generated from a Xray tube ?
A condenser is connected across another charged condenser. The energy in the two condenser will be
In an experiment to measure the internal resistance of a cell, by a potentiometer, it is found that the balance point is at a length of 2 m, when the cell is shunted by a 5 Ω resistance and is at a length of 3m when the cell is shunted by a 10 Ω resistance. The internal resistance of the cell is
The figure to the right shows an edgeon view of three extremely large, parallel insulating sheets positively charged with uniform and identical surface charge densities. In which of the regions shown is the electric field a maximum?
Cathode rays enter into a uniform magnetic field perpendicular to the direction of the field. In the magnetic field their path will be
1Phenylethanol can be prepared by reaction of benzaldehyde with
Pick out the unsaturated fatty acid from the following
The element with highest electron affinity among the halogens is
As we move from Cl to I, the electron affinity becomes less due to a corresponding increase in their atomic radii. The electron affinity of F is, however, unexpectedly less than that of Cl, because due to its small size, there are electronelectron repulsions in the relatively compact 2psubshell.
For the first order reaction with rate constant k, which expression gives the halflife period? (Initial conc. = a)
At certain temperature, 50% of HI is dissociated into H_{2} and I_{2}, the equilibrium constant is
Variation of heat of reaction with temperature is known as
Two platinum electrodes were immersed in a solution of CuSO₄ and electric current was passed through the solution. After sometimes it was found that colour of CuSO₄ disappeared with evolution of gas at the electrode. The colourless solution contains
The hydroxide ion concentration of a wine is 8 ´ 10^{–11} M. What is the pH of the wine?
The compound whose 0.1 M solutions is basic is
The compound whose water solution has the highest pH is
The order of decreasing ease of reaction with ammonia is
Ethane is obtained from ethylene by which of the following methods?
Zn converts its melting state to its solid state, it has HCP structure, then find out the nearest number of atoms
An element (atomic mass = 100 g/mol) having bcc structure has unit cell edge 400 pm. The density of the element is
A solute is soluble in two immiscible liquids which are present in the mixture. The concentration of the solute in the upper layer will be
Identify the mixture that shows positive deviations from Raoult's law
Which of the following is formed when alkyne reacts with water in the presence of sulphuric acid and mercurous acid?
The radius of which of the following orbit is same as that of the Bohr's first orbit of hydrogen atom?
Which of the following electronic transition in a hydrogen atom will require the largest amount of energy?
The enthalpies of combustion of carbon and carbon monoxide are 393.5 and 283kJmol⁻1 respectively. The enthalpy of formation of carbon monoxide is
For a second order reaction, the time required for half change is _
For a second order reaction.
where a = b
If the length of CO bond in carbon monoxide is 1.128Å, then what is the value of CO bond length in Fe(CO)_{5}?
Due to synergic bond formation between metal and CO, the bond order of CO decreases
If nitrogen and sulphur both are present in an organic compound, then during the Lassaigne's test, both will change into
220 cannot be the sum of the first n cubes for a suitable n, because 220 is :
If 'n' is a positive integer, then n^{3} + 2n is divisible by
The area of the region bounded by the curve y = x  x^{2}between x = 0 and x = 1 is
The circle x^{2} + y^{2} + 4x + 6y + 3 = 0 and 2(x^{2}+y^{2}) + 6x + 4y + c = 0 will cut orthogonally if c equals
If the circles x^{2} + y^{2} = 9 and x + y + 2ax + 2y + 1 = 0 touch each other, then a is
If z₁ and z₂ are two complex numbers, then z₁  z₂ =
The triangle formed by the points 1, (1 + i)/√2 and i as vertices in the Argand diagram is
The solution of y' y = 1, y(0) = 1 is given by y (x)
The value of n ∈I for which the function f(x) = sinnx/sin(x/n) has 4π as its period is
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer
Assertion(A): If k is odd, then ^{k}C_{r} is maximum for r equal to
Reason(R): The number of combinations of n distinct objects taken r at a time is given by
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer
Assertion(A): The solution of the differential equation
Reason(R): As the integrating factor of given differential equation is (1/y) .
If A is a square matrix such that A_{2 }= A, then det equals :
How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?
The line y=mx+c touches the parabola x^{2}=4ay if
In a Poisson distribution mean is 16, then S.D. is
In a bivariate data ∑x = 30, ∑y = 400, ∑x^{2} = 196, ∑xy = 850 and n = 10. The regression coefficient of y on x is
The perpendicular distance of a line 12x+5y=7 from the origin is
The points whose position vectors are 2i+3j+4k, 3i+4j+2k, 4i+2j+3k, then they are
The radius of the circle in which the sphere x^{2} + y^{2} + z^{2} + 2x  2y  4z  19 = 0 is cut by the plane x + 2y + 2z + 7 = 0, is
The angle at which the two curves x^{3}3xy^{2}=4 and 3x^{2}yy^{3}=4 intersect is
If the modulus of a is 5 in the direction of northeast and the modulus of b is 5 in the direction of northwest, then ab=
In the following questions, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the statements carefully and mark the correct answer 
Assertion (A): Sum of n AM's between a and b is
Reason (R): If S_{n} be the sum of n terms of an AP whose first term is a and last term is l, then S_{n} = n2n2(a + l).
If A and B are square matrices of equal degree, then which one is correct among the following ?
If the function f(x) = 2x³  9ax² + 12a²x + 1, where a > 0, attains its max. and min. at p and q respectively such that p² = q then a equal
The product of n positive numbers is unity, then their sum is :
Let a1, a2, a3…an be the positive numbers.
Product => a1a2..an = 1
We know that AM ≥ GM
(a1+a2+…an)/n ≥ (a1a2..an)1/n
(a1+a2+…an)/n ≥ 1
(a1+a2+…an) ≥ n
So the sum is never less than n.
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