Class 11th

Number of integers in the domain of the function, f(x) = $\sqrt[]{3-2^x-2^{1-x}}$  

 If the coefficient of x²¹ in the expansion of ${\left(x^2+\frac{3\lambda }{x}\right)}^{15}$ is 3640, then the value of $\text{'}\lambda \text{'}$  equal

Among the following oxides Cr₂O₃, V₂O₅, FeO, Mn₂O₇, ZnO, Cu₂O, MnO₂, CrO₃, NiO

If x = number of basic oxides

y = number of acidic oxides

z = number of amphoteric oxides

then the value of $\frac{\left(x+y\right)}{z}$  is

Consider the following orders given below.

(i) S > Se > Te > O (Electron Affinity)

(ii) $N^{-3}>O^{2-}>F^{-}>N{a}^{+}>M{g}^{2+}$  (Ionic Size)

(ii) Fe²⁺ > Fe³⁺ > Fe⁴⁺ (Ionization Enthalpy)

(iv) H < B < P < C < Cl (Electronegativity)

(v) Na⁺ < Mg²⁺ < Al³⁺ (Extent of hydration)

(vi) Li > Na > K > Rb > Cs (Reducing Nature)

(vii) LiF(s) > LiCl(s) > LiBr(s) (Lattice Energy)

If x = number of correct orders

y = number of incorrect orders

then the value of $\left(1+\frac{y}{x}\right)$  is.

Nitric oxide is formed in the combustion of fuel. An internal combustion engine produces 600 ppm (600 mg L^-1) of NO was oxidized to NO₂. The NO₂ formed was dissolved in 10L of water. The pH of the resulting solution is

(log 2 = 0.30, log 3 = 0.48)

Find out the number of following orders which are INCORRECT against the mentioned properties:

(i) Ortho hydrogen > Para hydrogen (Stability at low temperature)

(ii) Ethanol > Glycerol (Viscosity)

(iii) D₂ < He (Boiling point)

(iv) HF > H₂O (Melting point)

(v) H₃BO₃ > BF₃ (Melting point)

(vi) NH₃ < SbH₃ (Boiling point)

(vii) H₂O₂ > H₂O (Strength of hydrogen bond)

(viii) H₂O < D₂O (Freezing point)

(ix) $H{F}_2^{\Theta }$  < HF (Strength of hydrogen bond)

(x) D₂O < H₂O (Bond energy)

If x = Group number of Europium (atomic number 63)

y = Period number of Americium (atomic number 95)

z = Most stable oxidation state shown by Gadolinium (atomic number 64)

Two rods of length d₁ and d₂ and coefficients of thermal conductivities K₁ and K₂ are kept touching each other. Both have the same area of cross?section, the equivalent thermal conductivity is

The diagram showing the variation of gravitational potential of earth with distance from the centre of earth is

A 20 kg block B is suspended from a cord attached to a 40 kg cart A. Find the ratio of the acceleration of block in cases (i) and (ii) shown in the figure immediately after the system is released from rest. (Neglect friction)