The solution containing 4.0 % PVC in one litre of dioxane was found to have osmotic pressure of \[6.0\times {{10}^{-4}}\] atm at 300 K. The molecular mass of polymer is
Urea and hydrazine react to form ammonia gas along with compound X which reacts with aldehydes and ketones to form specific crystalline derivatives. X is
The I.U.P.A.C. name of \[\underset{\begin{smallmatrix} | \\ CN \end{smallmatrix}}{\mathop{C{{H}_{2}}}}\,-\underset{\begin{smallmatrix} | \\ CN \end{smallmatrix}}{\mathop{CH}}\,-\underset{\begin{smallmatrix} | \\ CN \end{smallmatrix}}{\mathop{C{{H}_{2}}}}\,\] is
A metal X on heating in nitrogen gas gives Y.Y on treatment with \[{{H}_{2}}O\] gives a colourless gas which when passed through \[CuS{{O}_{4}}\]solution gives a blue colour. Y is
A gaseous mixture of three gases A, B and C has a pressure of 10 atm. The total number of moles of all the gases is 10. If the partial pressures of A and B are 3.0 and 1.0 atm respectively and if 'C" has mol. wt of 2.0 what is the weight of 'C' in g present in the mixture.
For a chemical reaction \[X\to Y,\]the rate of reaction increases by a factor of 1.837 when the concentration of X is increased by 1.5 times. The order of the reaction with respect to X is
A solution containing \[A{{s}^{3+}},C{{d}^{2+}},N{{i}^{2+}}\] and \[Z{{n}^{2+}}\] is made alkaline with dilute \[N{{H}_{4}}OH\] and treated with \[{{H}_{2}}S.\]. The precipitate obtained will consist of
\[{{M}_{2}}S{{O}_{4}}({{M}^{+}}\]is a monovalent metal ion) has a K. of \[3.2\times {{10}^{-5}}\] at 298 K. The maximum concentration of \[SO_{4}^{-2}\]ion that could be attained in a saturated solution of this solid at 298 K is
The standard reduction potential for \[C{{u}^{2+}}/Cu\]is + 0.34. Calculate the reduction potential at pH = 14 for the above couple. \[({{K}_{sp}}Cu{{(OH)}_{2}}=1\times {{10}^{-19}})\]
A current of 2.0A when passed for 5 hours through a molten metal salt deposits 22.2g of metal of atomic weight 177.The oxidation state of the metal in the metal salt is
Drops of water fall from the roof of a building 9m high at regular intervals of time. The first drop reaching the ground at the same instant fourth drop starts its fall. What are the distances of second and third drops from roof?
A 55 gm tennis ball strikes the ground and rebounds back. If its velocities are 5 m/s and 4 m/s before and after the collision respectively then the impulse imparted will be
The time taken by a body in sliding down a rough inclined plane of angle of inclination \[45{}^\circ \] is n times the time taken by the same body in slipping down a similar frictionless plane. The coefficient of dynamic friction between the body and the plane will be
A small ball of mass m is allowed to slip down from the top of a hemispherical dome of radius R. At what height h from the lower end the ball will leave contact with the dome?
Three particles of equal mass m are situated at the vertices of an equilateral triangle of side L. What should be the velocity of each particle so that they move on a circular path without changing L?
Two masses M&m situated at infinite distance apart are at rest. Due to mutual interaction they start approaching each other, the relative velocity of the system when the distance between them is r, will be
A wheel is rolling straight on ground without slipping. If the axis of the wheel has speed v, the instantaneous velocity of a point P on the rim, defined by angle \[\text{ }\!\!\theta\!\!\text{ }\], relative to the ground will be '
Suppose the gravitational force varies inversely as the nth power of the distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to
At a specific temperature, the energy densities for a black body for three different wavelengths are 10, 19 and 7 units. For these wavelengths if the absorption coefficient of a body is respectively 0.8, 0.3 and 0.9 then the emissive powers of this body for these wavelengths are in the ratio
A mixture of two gases X and Y is enclosed, at constant temperature. The relative molecular mass of X, which is diatomic, is 8 times that of Y which is monoatomic. What is the ratio of the r.m.s speed of molecules of Y to that of molecules of X?
A Cabot?s engine works as a refrigerator between 250 K. and 300 K. If it receives 750 calories of heat from the reservoir at the lower temperature, the amount of heat rejected at the higher temperature is
A charge Q is distributed over two concentric hollow spheres of radii r and R (>r) such that the surface densities are equal and placed on the same axial points. Then the potential at the common centre is
If a battery is connected across series combination of a capacitor and a resistor, at t = 0. If at an instant t potential difference across the capacitor be 'V and energy stored in it be U. Then which of the following graph is correct.
A cell of e.m.f. E is connected across a reistance R. The potential difference between the terminals of the cell is found to be V. The internal resistance of the cell must be
Two straight long conductors AOB and COD are perpendicular to each other and carry currents \[{{\text{I}}_{1}}\] and \[{{\text{I}}_{\text{2}}}\] respectively. The magnitude of the magnetic induction at a point P at a distance 'a' from the point 0 in a direction perpendicular to the plane ABCD is
The mutual inductance of a pair of coils, each of N turns, is M henry. If a current of I ampere in one of the coils is brought to zero in t second, the emf induced per turn in the other coil, in volt, will be
Two different coils have self-inductances \[{{L}_{1}}=8\] mH and \[{{L}_{2}}=8\] mH. The current in one coil is increased at a constant rate. The current in the second coils is also increased at the same constant rate. At a certain instant, the power given to the two coil is the same. At that instant of time, if \[{{W}_{1}}\]and \[{{W}_{2}}\]are the energies stored in the first and the second coil, respectively, the \[{{W}_{1}}:{{W}_{2}}\]is
56 tuning forks are so arranged in series that each fork gives 4 beats per sec with the previous one. The frequency of the last fork is 3 times that of the first. The frequency of the first fork is
Two slits separated by a distance of 1 mm are illuminated with red light of wavelength \[6.5\times {{10}^{-7}}\] m. The interference fringes are observed on a screen placed 1 m from the slits. The distance between third dark fringe & the fifth bright fringe is equal to
Statement 1: A person is standing near a railway track. A train is moving on the track. As train is approaching the person, apparent frequency keeps on increasing and when train has passed the person then apparent frequency keeps on decreasing.
Statement 2: When train is approaching the person then \[f={{f}_{0}}\left [ \frac{c}{c-u} \right]\]and when tram is moving away from the person \[f={{f}_{0}}\left[ \frac{c}{c+u} \right],c\]is velocity of sound, u is velocity of train and \[{{f}_{0}}\] is original frequency of whistle.
A)
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
doneclear
B)
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
A lens is placed between a source of light and a wall. It forms images of area \[{{A}_{1}}\]and \[{{A}_{2}}\] on the wall, for its two different positions. The area of the source of light is
The counting rate observed from a radioactive source at t = 0 second was 1600 counts per second and at t = 8 seconds it was 100 counts per second. The counting rate observed, as counts per second at t = 6 seconds will be
In a npn transistor \[{{10}^{10}}\]electrons enter the emitter in \[{{10}^{-6}}\] s. 4% of the electrons are lost in the base. The current transfer ratio will be
If tangents be drawn to the cricle x2 + y2 = 12 at its points of intersection with the circle x2 + y2 - 5x + 3y - 2 = 0, then the tangents intersect at the point
The locus of the mid points of the chords of the ellipse \[{{x}^{2}}/{{a}^{2}}+{{y}^{2}}/{{b}^{2}}=k,\]\[k>0,\] making equal intercepts on the coordinate axes, is
A curve y = f(x) passes through the point P( 1,1). The normal to the curve at P is a (y - 1) + (x - 1) = 0. If the slope of the tangent at any point on the curve is proportional to the ordinate of the point, then the equation of the curve is
Let coordinates of a point 'p' with respect to the system of non-coplanar vectors \[\vec{a},\vec{b}\]and \[\vec{c}\] is (3, 2, 1). Then coordinates of "p' with respect to the system of vectors \[\vec{a}+\vec{b}+\vec{c},\]\[\vec{a}-\vec{b}+\vec{c}\]and \[\vec{a}+\vec{b}-\vec{c}\]is
The three lines through the origin with direction cosines \[{{l}_{1}},{{m}_{1}},{{n}_{1}};{{l}_{2}},{{m}_{2}},{{n}_{2}};\]and \[{{l}_{3}},{{m}_{3}},{{n}_{3}}\]are coplanar, if
Let \[{{\overline{X}}_{1}}\]and\[{{\overline{X}}_{2}}\] means of two distributions such that \[{{\overline{X}}_{1}}<{{\overline{X}}_{2}}\]and \[\overline{X}\]is the mean of the combined distribution.