1 Crore+ students have signed up on EduRev. Have you? |
Two thin wire rings each having a radius R are placed at a distance d apart with their axes coinciding. The charges on the two rings are +q and -q. The potential difference between the centres of the two rings is
A block of weight 200N is pulled along a rough inclined plane of inclination 45o with the horizontal. If the coefficient of friction is 0.5, the retardation is
A gas at 27oC has a volume V and pressure P. On heating its pressure is doubled and volume becomes three times. The resulting temperature of the gas will be
The surface tension of soap solution is 25*10⁻3 N-m⁻1. The excess pressure inside a soap bubble of diameter 1 cm is
A copper wire of length 4 m and area of cross-section 1.2 cm2 is stretched with a force of 4.8 * 103 N. If the Young's modulus for copper is 1.2 * 1011 N-m⁻2, then increase in the length of the wire will be
A stone is dropped from rest from the top of a tower 19.6 m high. The distance travelled during the last second of its fall is (given g = 9.8 m/s2)
A weightless thread can bear tension upto 37 N. A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10 m−s⁻2, then the maximum angular velocity of the stone will be
A fan is making 600 rev-min⁻1. If it makes 1200 rev-m⁻1, then increase in its angular velocity is
For an adiabatic change in a gas, if P, V, T denotes pressure, volume and absolute temperature of a gas at any time and γ is the ratio of specific heats of gas, which of the following is true?
A body of mass 6 kg is under a force which causes displacement in it given by S = t2/4 mts where t is time. The work done by the force in 2 seconds is
The order of decreasing stability of the carbanions (CH₃)₃C-(I) ; (CH₃)₂CH-(II) ; CH₃CH₂-(III) ; C₆H₅CH₂-(IV) is
From the following values of dissociation constants of four acids which value represents the strongest acid ?
2 mol of an ideal gas at 27oC expands reversibly from 2L to 20L .The entropy change (R = 2 cal/mol/K) is
At certain temperature, 50% of HI is dissociated into H2 and I2, the equilibrium constant is
In gaseous reactions important for the understanding of the upper atmosphere, H2O and O react bimolecularly to form two OH radicals. Δ H for this reaction is 72 kJ at 500 K and Ea is 77 kJ m o l − 1 , then Ea for the bimolecular recombinations of two OH radicals to form H2O and O, is
Given C(s) + O₂(g) → CO₂(g) ; ∆H = −395kJ, S(s) + O₂(g) → SO₂(g);∆H = −295kJ , CS₂(l) + 3O₂(g) → CO₂(g) + 2SO₂(g) ; ∆H = −1110kJ. The heat of formation of CS₂(l) is
When a vapour, at atmospheric pressure was gradually heated from 25oC its colour was found to deepan at first and then to fade as the temperature was raised above 160oC. At 600oC, the vapour was almost colourless, but its colour deepened when the pressure was raised at this temperature. The vapour was
The amount of urea in 100 ml of a solution at 25oC and 20.4 atm. of osmotic pressure is
An element (at. mass = 100) having bcc structure has unit cell edge 400 pm. The density of the element is
Equation to the normal at (3,4) to the circle x2 + y2 = 25 is
The area bounded by the curve y = 4x - x2 and x-axis is
The equation of curves which passes from (1,1) and its gradient is ( 2y/x ) is
If a flag staff of 6 mt high placed on the top of a tower throws a shadow of 2 √ 3 mt along the ground then the angle that the sun makes with the ground is
The area bounded by the curve y2 = 9x and the lines x = 1, x = 4 and y = 0 in the first quadrant is
The function f(x) = cot⁻1 x + x increases in the interval
If A and B are two matrices such that AB = B and BA = A, then A2 + B2 is equal to
The nature of the lines represented by 4x2+12xy+9y2=0 is
If lx+my+n=0 is a tangent to the parabola x2=y, then condition of tangency is
The given Line is lx + my + n = 0 and the parabola x2 = y
Eliminating x from these equation, we get
or m2y2 + n2 + 2 myn = l2 y
or m2y2 + (2mn - l2)y + n2 = 0
if the line touches the parabola, then the roots of the equation will be equal.
i.e (2mn - l2)2 - 4.m2n2 = 0
or 4.m2n2 + l4 - 4mn.l2 - 4.m2n2 = 0
or l4 - 4mnl2 = 0
or l2 (l2 - 4mn) = 0
or l2 - 4mn = 0
or l2 = 4mn
If BD, BE and CF are the medians of a ΔABC then
(AD2 + BE2 + CF2) : (BC2 + CA2 + AB2) is equal to
Let a,b,c be real, if ax2+bx+c = 0 has two real roots α and β, where α<-2 and β>2 then
If A = {x : x2 - 5x + 6 = 0}, B = {2, 4}, C = {4, 5} then A ∩ (B ∩ C) is
The curve x3 - 3xy2 + 2 = 0 and
3x2y - y3 - 2 = 0 cut an angle of
The equation of the sphere with centre (3, 6, -4) and touching the plane
2x - 2y - z - 10 = 0 is
As the required sphere touches the plane
2x - 2y - z - 10 = 0 .....(1)
∴ Radius of the required sphere = ⊥ from the center (3, 6, -4) of the required sphere to the plane (1)
∴ The required equation of the sphere is given by
(x - 3)2 + (y - 6)2 + (z + 4)2 = 16 (Central form)
⇒ x2 + 9 - 6x + y2 + 36 - 12y + z2 + 16 + 8z = 16
⇒ x2 + y2 + z2 - 6x - 12y + 8z + 45 = 0
If cos α, cos β, cos γ are the d.c. of a line, then value of sinα2+sin2β+sin2γ is
Angles A, B and C of a triangle are in A.P. with common difference 15 degree, then angle B is equal to
The distance between 6.00 AM and 3.15 P.M. by the tip of the 12 cm long hour hande in a clock is
In fig. (A), (9 x 10) − (4 x 8) = 58.
In fig. (B), missing number = (15 x 10) − (9 x 8) = 150 − 72 = 78.
Group the following figures into three classes on the basis of identical properties.
Some people believe that they are masters of their own fate . Other people see themselves as pawns of fate , believing that what happens to them in their lives is due to luck or chance. The first type, those who believe that they control their destinies, have been labelled internals, whereas the latter, who see their lives as being controlled by outside forces, have been called externals. Internals search more actively for information before making a decision , are more motivated to achieve , and make a greater attempt to control their environment. Externals, however, are more compliant and willing to follow directions. Therefore, internals do well on sophisticated tasks-which include most managerial and professional jobs-that require complex information processing and learning. In addition , internals are more suited to jobs that require initiative and independence of action . Almost all successful sales people, for instance are internals. In contrast, externals should do well on jobs that are well structured and routine and in which success depends heavily on complying with the directions of others.
Q. Which one of the following is not correct ?
Internals: