List of practice Questions

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:

Let \( R = \{a, b, c, d, e\} \) and \( S = \{1, 2, 3, 4\} \). Total number of onto functions \( f: R \to S \) such that \( f(a) \neq 1 \), is equal to:

An unknown organic compound is heated with fuming \(HNO_3\). The reaction mixture is treated with aq \(BaCl_2\) solution which gives white precipitate. Identify the unknown organic compound.

During bleeding from cut \(FeCl_3\) is used to stop bleeding as

Let a die be rolled \( n \) times. Let the probability of getting odd numbers seven times be equal to the probability of getting odd numbers nine times. If the probability of getting even numbers twice is \( \frac{k}{2^{15}} \), then \( k \) is equal to:

\(y=f(x)\) is a quadratic function passing through (–1, 0) and tangent to it at (1, 1) is \(y=x\). Find x intercept by normal at point (𝛂, 𝛂 + 1), (𝛂 > 0)

Let O be the origin and OP and OQ be the tangents to the circle \( x^2 + y^2 - 6x + 4y + 8 = 0 \) at the points P and Q on it. If the circumcircle of the triangle OPQ passes through the point \( \left( \alpha, \frac{1}{2} \right) \), then a value of \( \alpha \) is.

Let a circle of radius 4 be concentric to the ellipse \( 15x^2 + 19y^2 = 285 \). Then the common tangents are inclined to the minor axis of the ellipse at the angle:

The compound which does not exist.

A particle of mass m moving with a velocity v collides with a particle of mass 2m at rest and sticks to it. Velocity of the combined mass equal to?

Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most three persons, then the number of ways in which they can be transported is:

The enthalpy change for the adsorption process and micelle for mation respectively are

Prolonged heating of ferrous ammonium sulphate is avoided to prevent :

One which does not stabilize secondary and tertiary protein?

The coefficient of x⁷ in (1 – 2x + x³)¹⁰ is?