List of practice Questions

\(lim _{n→∞}{(2^½-2^½)(2^½-2^½)….(2^½-^2{\frac{1}{2n+1}})}\) is equal to
Let B =\(\begin{bmatrix} 1 & 3 & α \\ 1 & 2& 3 \\ α & α & 4 \end{bmatrix}\) , α>2 be the adjoint of a matrix A and |A| = 2, then [α - 2α α] B\(\begin{bmatrix} α \\ -2α  \\ α \end{bmatrix}\)is equal to
Among the two statements
(S1) : (p ⇒ q)∧(q ∧(~q)) is a contradiction and  
(S2) : (p∧q) v ((~p)∧q) v (p ∧ (~q)) v ((~p) ∧ (~q)) is a tautology 
The number of five-digit numbers, greater than 40000 and divis ible by 5, which can be formed using the digits 0, 1, 3, 5, 7, and 9 without repetition, is equal to:
What is the correct order of acidity of compounds I, II and III?
i. 4-Nitrobenzoic acid 
ii. 4-Methoxy Benzoic acid
iii. Benzoic acid
Which base is not found in DNA?
polyethylene-glycol is used in the preparation of which types of detergent?
Which of the following statemnt is incorect for physisorption?
Which of the following are peroxo acids of sulpher?
What is the de Broglie wavelength associated with an electron accelerated through a potential difference of 64 volts?
Which one of the following elements will remain as liquid inside pure boiling water?

Gadolinium has a low value of third ionisation enthalpy because of

The stability of \(Cu^{2+}\) is more than \(Cu^+\) salts in aqueous solution due to
The alkaline earth metal with lowest density is
The correct order of atomic radii of Al, Ga, In, Tl is
Which of the following statements are not correct?
i. Atomic radius of Ga is less than that of Al
ii. The order of ionization enthalpy of group 13 elements is B>Al>Ga>In>Tl
iii. Boron trioxide is amphoteric in nature
Which of the following are not in accordance with the property mentioned against them? I. \( F_2>Cl_2>Br_2>I_2 \): Oxidising power
II.\( MI>MBr>MCl>MF\): Ionic character of metal halide
III. \( F_2<Cl_2<Br_2<I_2 \): Bond dissociation enthalpy
IV. \( HI<HBr<HCl<HF \): Hydrogen-halogen bond strength
The correct order of electron gain enthalpy of N, O, Cl, Al is.

An infinitely-long conductor has a current of 14A flowing as shown in the figure. Find the magnetic field at center C.

A parabola with focus (3, 0) and directrix x = –3. Points P and Q lie on the parabola and their ordinates are in the ratio 3 : 1. The point of intersection of tangents drawn at points P and Q lies on the parabola

If half life for a radioactive decay reaction is T. Find the time after which \(\frac{7}{8}th\) of initial mass decays
When electric field is applied to the electrons in a conductor it starts
Wire A and B have their Young’s moduli in the ratio 1:3, area of cross section in the ratio of 1:2 and lengths in ratio of 3:4. If same force is applied on the two wires to elongate then ratio of elongation is equal to
Delicate balance of \(CO_2\) and \(O_2\) is not disturbed by:

If the probability that the random variable \( X \) takes values \( x \) is given by \( P(X = x) = k(x + 1) 3^{-x}, x = 0, 1, 2, \dots \), where \( k \) is a constant, then \( P(X \geq 2) \) is equal to: