Arrange the following conformational isomers of n-butane in order of their increasing potential energy :

The Eu2+ ion is a strong reducing agent in spite of its ground state electronic configuration (outermost) : [Atomic numb

The structures A and B formed in the following reaction are : [Ph = $$-$$C6H5]

In which one of the following sets all species show disproportionation reaction?

Match List - I with List - II List - I(Parmeter) List - II(Unit) (a) Cell constant

The major products A and B formed in the following reaction sequence are :

Which of the following is not an example of fibrous protein?

For the reaction given below :-The compound which is not formed as a product in the reaction is a :

Spin only magnetic moment in BM of [Fe(CO)4(C2O4)]+ is :

The incorrect expression among the following is :

Match List - I with List - II : List - I(Metal Ion) List - II(Group of Qualitative analysis)

The major product of the following reaction is :

For the following sequence of reactions, the correct products are :

Identify correct A, B and C in the reaction sequence given below :

1.22 g of an organic acid is separately dissolved in 100 g of benzene (Kb = 2.6 K kg mol$$-$$1) and 100 g of acetone (Kb

The value of magnetic quantum number of the outermost electron of Zn+ ion is ______________.

The pH of a solution obtained by mixing 50 mL of 1 M HCl and 30 mL of 1 M NaOH is x $$\times$$ 10$$-$$4. The value of x

For the reaction A $$\to$$ B, the rate constant k(in s$$-$$1) is given by$${\log _{10}}k = 20.35 - {{(2.47 \times {{10}^

Sodium oxide reacts with water to produce sodium hydroxide. 20.0 g of sodium oxide is dissolved in 500 mL of water. Negl

According to molecular orbital theory, the number of unpaired electron(s) in $$O_2^{2 - }$$ is :

The transformation occurring in Duma's method is given below :$${C_2}{H_7}N + \left( {2x + {y \over 2}} \right)CuO \to x

If $$\alpha$$ + $$\beta$$ + $$\gamma$$ = 2$$\pi$$, then the system of equations x + (cos $$\gamma$$)y + (cos $$\beta$$)z

The domain of the function$$f(x) = {\sin ^{ - 1}}\left( {{{3{x^2} + x - 1} \over {{{(x - 1)}^2}}}} \right) + {\cos ^{ -

Let S = {1, 2, 3, 4, 5, 6}. Then the probability that a randomly chosen onto function g from S to S satisfies g(3) = 2g(

Let f : N $$\to$$ N be a function such that f(m + n) = f(m) + f(n) for every m, n$$\in$$N. If f(6) = 18, then f(2) . f(3

If $$\alpha = \mathop {\lim }\limits_{x \to {\pi \over 4}} {{{{\tan }^3}x - \tan x} \over {\cos \left( {x + {\pi \ove

The locus of mid-points of the line segments joining ($$-$$3, $$-$$5) and the points on the ellipse $${{{x^2}} \over 4}

If $${{dy} \over {dx}} = {{{2^x}y + {2^y}{{.2}^x}} \over {{2^x} + {2^{x + y}}{{\log }_e}2}}$$, y(0) = 0, then for y = 1,

If $$y{{dy} \over {dx}} = x\left[ {{{{y^2}} \over {{x^2}}} + {{\phi \left( {{{{y^2}} \over {{x^2}}}} \right)} \over {\ph

The sum of the roots of the equation $$x + 1 - 2{\log _2}(3 + {2^x}) + 2{\log _4}(10 - {2^{ - x}}) = 0$$, is :

If z is a complex number such that $${{z - i} \over {z - 1}}$$ is purely imaginary, then the minimum value of | z $$-$$

Let a1, a2, a3, ..... be an A.P. If $${{{a_1} + {a_2} + .... + {a_{10}}} \over {{a_1} + {a_2} + .... + {a_p}}} = {{100}

Let A be the set of all points ($$\alpha$$, $$\beta$$) such that the area of triangle formed by the points (5, 6), (3, 2

Let f be any continuous function on [0, 2] and twice differentiable on (0, 2). If f(0) = 0, f(1) = 1 and f(2) = 2, then

If [x] is the greatest integer $$\le$$ x, then $${\pi ^2}\int\limits_0^2 {\left( {\sin {{\pi x} \over 2}} \right)(x - [x

The mean and variance of 7 observations are 8 and 16 respectively. If two observations are 6 and 8, then the variance of

If the coefficient of a7b8 in the expansion of (a + 2b + 4ab)10 is K.216, then K is equal to _____________.

The number of 4-digit numbers which are neither multiple of 7 nor multiple of 3 is ____________.

If $$\int {{{\sin x} \over {{{\sin }^3}x + {{\cos }^3}x}}dx = } $$ $$\alpha {\log _e}|1 + \tan x| + \beta {\log _e}|1 -

The number of elements in the set $$\left\{ {A = \left( {\matrix{ a & b \cr 0 & d \cr } } \right):a,

If the line y = mx bisects the area enclosed by the lines x = 0, y = 0, x = $${3 \over 2}$$ and the curve y = 1 + 4x $$-

Let f(x) be a cubic polynomial with f(1) = $$-$$10, f($$-$$1) = 6, and has a local minima at x = 1, and f'(x) has a loca

Four identical hollow cylindrical columns of mild steel support a big structure of mass 50 $$\times$$ 103 kg. The inner

A current of 1.5 A is flowing through a triangle, of side 9 cm each. The magnetic field at the centroid of the triangle

A system consists of two identical spheres each of mass 1.5 kg and radius 50 cm at the end of light rod. The distance be

Statement I :Two forces $$\left( {\overrightarrow P + \overrightarrow Q } \right)$$ and $$\left( {\overrightarrow P -

A free electron of 2.6 eV energy collides with a H+ ion. This results in the formation of a hydrogen atom in the first e

Two thin metallic spherical shells of radii r1 and r2 (r1 < r2) are placed with their centres coinciding. A material

If VA and VB are the input voltages (either 5V or 0V) and V0 is the output voltage then the two gates represented in the

Consider two separate ideal gases of electrons and protons having same number of particles. The temperature of both the

A bob of mass 'm' suspended by a thread of length l undergoes simple harmonic oscillations with time period T. If the bo

Statement : 1If three forces $${\overrightarrow F _1},{\overrightarrow F _2}$$ and $${\overrightarrow F _3}$$ are repres

If velocity [V], time [T] and force [F] are chosen as the base quantities, the dimensions of the mass will be :

The magnetic field vector of an electromagnetic wave is given by $$B = {B_0}{{\widehat i + \widehat j} \over {\sqrt 2 }}

The equivalent resistance of the given circuit between the terminals A and B is :

Choose the incorrect statement :(1) The electric lines of force entering into a Gaussian surface provide negative flux.(

A mixture of hydrogen and oxygen has volume 500 cm3, temperature 300 K, pressure 400 kPa and mass 0.76 g. The ratio of m

A block moving horizontally on a smooth surface with a speed of 40 m/s splits into two parts with masses in the ratio of

A coil is placed in a magnetic field $$\overrightarrow B $$ as shown below :A current is induced in the coil because $$\

For a body executing S.H.M. :(1) Potential energy is always equal to its K.E.(2) Average potential and kinetic energy ov

Statement - I :To get a steady dc output from the pulsating voltage received from a full wave rectifier we can connect a

If RE be the radius of Earth, then the ratio between the acceleration due to gravity at a depth 'r' below and a height '

A parallel plate capacitor of capacitance 200 $$\mu$$F is connected to a battery of 200 V. A dielectric slab of dielectr

A long solenoid with 1000 turns/m has a core material with relative permeability 500 and volume 103 cm3. If the core mat

A particle is moving with constant acceleration 'a'. Following graph shows v2 versus x(displacement) plot. The accelerat

In a Young's double slit experiment, the slits are separated by 0.3 mm and the screen is 1.5 m away from the plane of sl

The diameter of a spherical bob is measured using a vernier callipers. 9 divisions of the main scale, in the vernier cal

A sample of gas with $$\gamma$$ = 1.5 is taken through an adiabatic process in which the volume is compressed from 1200

At very high frequencies, the effective impendence of the given circuit will be ________________ $$\Omega$$.

Cross-section view of a prism is the equilateral triangle ABC in the figure. The minimum deviation is observed using thi

A resistor dissipates 192 J of energy in 1s when a current of 4A is passed through it. Now, when the current is doubled,