JEE

Among the following hydrocarbons which decolourise bromine water, but does not give precipitate with ammonical AgNO₃ is

Which of the following acts in accordance with right hand screw rule?

Fossilisation is

Which one of the following is a source of data for primary investigations?

Which of the following will not give iodoform test?

The solution of the differential equation x²dy - (x² + 3xy + 4y²) dx = 0 is :

In the circuit in figure we have ε₁ = ε₂ = 100V, R₁ = 20Ω, R₂ = 10 Ω, R₃ = 40 Ω and R₄ = 30 Ω. Find the reading of the ammeter (in A). Disregard the resistance of the battery and the ammeter.

An ideal monoatomic gas at 27^oC is compressed adiabatically to 8/27 times of its original volume. The increase in temperature of the gas is

The more readily fissionable isotope of uranium has an atomic mass of

A body is allowed to slide on a frictional less track from rest under-gravity. The track ends in a circular loop of diameter D. What should be the minimum height of the body in terms of D, so that it may successfully complete the loop?

Let ABC and ABC' be two non-congruent triangles with sides AB = 4, AC = AC' = 2 2 and angle B = 30º. The absolute value of the difference between the areas of these triangles is

[JEE 2009, 5]

A house subtends a right angle on the window of its opposite house and the angle of elevation of the window from the foot of the former houses is 60^o. If the distance between houses is 6 metres, then the height of the former house is

If a circle passes through the point (a, b) and cuts the circle x² + y² = 4 orthogonally, then the locus of its centre is -              

[AIEEE-2004]

If f^'(2) = 4 and f^' (1) = 2 then

Two particles A and B start moving due to their mutual interaction only. If at any timet, a_A and a_B are their respective accelerations, v_A and v_B are their respective velocities, and up to that time W_A and W_B are the work done on A and B respectively by the mutual force, m_A and m_B are their masses respectively, then which of the following is always correct?

The following statements relate to the adsorption of gases on a solid surface. Identify the incorrect statement among them:

Two wires of the same dimensions but resistivities ρ₁ and ρ₂ are connected in series. The equivalent resistivity of the combination is

A single slit of width b is illuminated by a coherent monochromatic light of wavelength λ. If the second and fourth minima in the diffraction pattern at a distance 1 m from the slit are at 3 cm and 6 cm respectively from the central maximum, what is the width of the central maximum? (i.e. distance between first minimum on either side of the central maximum)

The part of human hind brain that is responsible for hand-eye coordination is

Which of the following compounds on boiling with KMnO₄ and the subsequent acidification will not give benzoic acid ?

If in ∆ABC ∠A=45^o, ∠C=60^o, then a+c√2=

4gram of hydrocarbon on complete combustion gave 12 • 571 gram of CO₂ and 5 •143 gram of water. What is the empirical formula of the hydrocarbon

After 280 days, the activity of a radioactive sample is 6000 dps. The activity reduces to 3000 dps after another 140 days. The initial activity of the sample in dps is

Velamen takes part in

Let [x] denote the integral part of x ∈ R and g(x) = x – [x]. Let f(x) be any continuous function with f(0) = f(1) then the function h(x) = f(g(x))

The electronic configuration of an element is 1s₂2s₂2p₆3s₂3p₆3d₁₀4s₂4p₃. Its properties would be similar to which of the following elements?

If the Earth has no rotational motion, the weight of a person on the equator is W. Determine the speed with which the earth would have to rotate about its axis so that the person at the equator will weigh 3/4 W. Radius of the Earth is 6400 km and g=10 m/s².

If f be a function such that f (9) = 9 and f ‘ (9) = 3, then   is equal to

A 60 kg weight is dragged on a horizontal surface by a rope to 2 metres. If coefficient of friction is μ=0.5, the angle of rope with the surface is 60^o and g=9.8 m/sec², then work done is

The volume of the solid obtained by rotating the ellipse (x²/a²) + (y²/b²) = 1 about axis of x isOptions

The cyanohydrin of a compound X on hydrolysis gives lactic acid; The X is

A copper block of mass 2.5 kg is heated in a furnace to a temperature of 500∘Cand then placed on large ice block. The maximum amount (in kg) of ice that can melt is (Specific heat of copper =0.39Jg^-1∘C^-1, latent heat of fusion of water=335Jg^-1)

A compound A with molecular formula C₁₀H₁₃Cl gives a white precipitate on adding silver nitrate solution. A on reacting with alcoholic KOH gives compound B as the main product. B on ozonolysis gives C and D. C gives Cannizaro reaction but not aldol condensation. D gives aldol condensation but not Cannizaro reaction. A is :

Consider the spring-mass system, with the mass submerged in water, as shown in the figure. The phase space diagram for one cycle of this system is

If f(x) =  then f(x) is (where { * } represents the fractional part function)

A mass M collides elastically with a stationary mass m. If M < m, then it is possible for M to bounce directly backwards. However, if M > m, then there is a maximum angle of deflection of M. Then angle is

The term independent of x in the expansion of 

Sodium carbonate cannot be used in place of ammonium carbonate for the identification of the fifth group radicals . This is because the

Which of the following has the highest electronegativity?

The following ligand is

Which of the following oxide of vanadium is most basic?

Which of the following is logically equivalent to ∼(p↔q) ?

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) :A relation R on the set of complex number defined by Z₁ RZ₂ ⇔ Z₁ − Z₂ is real, is an equivalence relation.
Reason(R) :Reflexive and symmetric properties may not imply transitivity.

Which of the following gives maximum energy in metabolic process?