List of practice Questions

Two infinite current carrying wires having current I in opposite directions are shown below.

Find the magnetic field in S.I units, at point

A body of mass 1000 kg is moving horizontally with a velocity of 6 m/s. If 200 kg extra mass is added, the final velocity (in m/s) is:

The total kinetic energy of 1 mole of oxygen at 27°C is :
[Use universal gas constant (R)= 8.31 J/mole K]

Two nucleotides are joined together by a linkage known as:

Given below are two statements:
Statement (I): p-nitrophenol is more acidic than m-nitrophenol and o-nitrophenol.
Statement (II): Ethanol will give immediate turbidity with Lucas reagent.
In the light of the above statements, choose the correct answer from the options given below:

The electronic configuration of Neodymium (60) Nd is

In which of the following compound central atom has +4 oxidation state?

The equation of state of a real gas is given by \[ \left( P + \frac{a}{V^2} \right)(V - b) = RT, \] where \( P, V \) and \( T \) are pressure, volume and temperature respectively and \( R \) is the universal gas constant. The dimensions of \[ \frac{a}{b^2} \] is similar to that of :

Choose the polar molecule from the following:

Cyclohexene

is _________ type of an organic compound.

If the work function of a metal is 6.63 eV, then find the threshold frequency for photoelectric effect.

IUPAC name of the following compound (P) is:

Given below are two statements :
Statement (I) : The limiting force of static friction depends on the area of contact and independent of materials.
Statement (II) : The limiting force of kinetic friction is independent of the area of contact and depends on materials.
In the light of the above statements, choose the most appropriate answer from the options given below :

Highest enol content will be shown by:

Element not showing variable oxidation state is:

Four distinct points \( (2k, 3k), (1, 0), (0, 1) \) and \( (0, 0) \) lie on a circle for \( k \) equal to:

The number of common terms in the progressions 4, 9, 14, 19, ...,up to 25th term and 3, 6, 9, 12, ..., up to 37th term is:

If \( (a, b) \) be the orthocenter of the triangle whose vertices are \( (1, 2) \), \( (2, 3) \), and \( (3, 1) \), and \( I_1 = \int_a^b x \sin(4x - x^2) dx \), \( I_2 = \int_a^b \sin(4x - x^2) dx \), then \( 36 \frac{I_1}{I_2} \) is equal to:

If \(å= î+2ĵ + k, b = 3(î - ĵ + k), å · c = 3\) and \(å \times č = b\), then \(å·((xb)-b-č)\)=

\(\int^1_0\frac{1}{\sqrt{3+x}+\sqrt{1+x}}dx=a+b\sqrt2+c\sqrt3\) then \(2a-3b-4c\) is equal to _____.

If \(n-1C_r= (k^2-8)^nC_r+1\) Find \(k\).

If the shortest distance of the parabola \(y^{2}=4x\) from the centre of the circle \(x² + y² - 4x - 16y + 64 = 0\) is d, then d²is equal to:

If \(f(x)\) = \(\begin {bmatrix} Cos x& -sinx & 0\\sinx & cos x& 0\\0&0&1 \end {bmatrix} \)Statement I \(⇒ f(x).f(y) = f(x+y)\) Statement II \(⇒f(-x) =0 \) is invertible

If \(lim_{x\rightarrow 0} \frac{\sqrt 1 + \sqrt{1+x^4}-\sqrt 2}{x^4}=A\) and \(lim_{x \rightarrow 0} \frac{sin^2x}{\sqrt 2 - \sqrt{1+cosx}}=B\), then \(AB^3\) = ____.

The portion of the line \( 4x + 5y = 20 \) in the first quadrant is trisected by the lines \( L_1 \) and \( L_2 \) passing through the origin. The tangent of an angle between the lines \( L_1 \) and \( L_2 \) is: