List of practice Questions

Which of The following coordination compounds has bridging carbonyl ligand?

Given below are two statements:
Statement 1: If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in hot water.
Statement 2: If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in cold water.
In the light of the above statements, choose the most appropriate option from the options given below:

A solid sphere of radius \(4a\) units is placed with its centre at origin. Two charges \(-2q\) at \((-5a, 0)\) and \(5q\) at \((3a, 0)\) is placed. If the flux through the sphere is \(\frac{xq}{\in_0}\) , find \(x\)
 

A block of mass 100 kg slides over a distance of 10 m on a horizontal surface. If the coefficient of friction between the surfaces is 0.4, then the work done against friction (in J) is:

At what distance above and below the surface of the earth a body will have the same weight (take radius of earth as R)?

The number of species from the following which are paramagnetic and with bond order equal to one is ___.

Species: H2, He2+, O2-, N2, O22-, F2, Ne2+, B2

For \( 0 < a < 1 \), the value of the integral \[ \int_{0}^{\frac{\pi}{2}} \frac{dx}{1 - 2a \cos x + a^2} \] is:

The 20th term from the end of the progression \[ 20, 19, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, \ldots, -129 \frac{1}{4} \] is:
If \(\frac{dy}{dx}\)= \(\frac{(x+y-2)}{(x-y)}\), and y(0) = 2, find y(2)
If \( 2 \tan^2 \theta - 5 \sec \theta = 1 \) has exactly 7 solutions in the interval \(\left[ 0, \frac{n\pi}{2} \right],\) for the least value of \( n \in \mathbb{N} \) then \(\sum_{k=1}^{n} \frac{k}{2^k}\) is equal to:
The integral $$ \int \frac{x^8 - x^2}{(x^{12} + 3x^6 + 1) \tan^{-1}\left( \frac{x^3 + 1}{x^3} \right)} \, dx $$ is equal to: 
Coefficient of x2012 in (1-x)2008(1+x+x²)2007 is equal to ___
Identify the following species in which \(d^2sp^3\) hybridization is shown by the central atom.
Which structure of protein is intact after coagulation of egg white on boiling?
Given below are two statements:
Statement (I) : In the Lanthanoids, the formation of Ce+4 is favoured by its noble gas configuration.
Statement (II) : Ce+4 is a strong oxidant reverting to the common +3 state.
In the light of the above statements, choose the most appropriate answer from the options given below:
Which structure of protein remains intact after coagulation of egg white on boiling?
Phenolic group can be identified by a positive
Which of the following can not act as an oxidising agent?
The quantity which changes with temperature:
Which of the following is strongest Bronsted base?
A particle performing simple harmonic motion is such that its amplitude is 4 m and speed of particle at mean position is 10 m/s. Find the distance of particle from mean position where velocity becomes 5 m/s.
If the refractive index of the material of a prism is \(cot\bigg(\frac{A}{2}\bigg)\), where A is the angle of the prism, then the angle of minimum deviation will be:
Given below are two statements: 
Statement (I): Planck's constant and angular momentum have the same dimensions. 
Statement (II): Linear momentum and moment of force have the same dimensions. 
In the light of the above statements, choose the correct answer from the options given below:
Consider the system shown. Find the moment of inertia about the diagonal shown.
Two bodies of mass 4 g and 25 g are moving with equal kinetic energies. The ratio of the magnitude of their linear momentum is: