List of practice Questions

How will you separate a solution (miscible) of benzene $ +CHCl_{3}$ ?

Formalin is:

A particle on trough of a wave at any instant will come to mean position after time (T=time period)

A particle is executing the motion $ x=a\,\cos (\omega t-\theta ). $ The velocity of the particle is:

A simple pendulum has time period $T_1$. The point of suspension is now moved upward according to the relation $y = kt^2, (k = 1ms^{-2})$ where y is the vertical displacement. The time period now becomes $T_2$. The ratio of $\frac{T^2_1}{T^2_2}$ is $(Take\,g = 10ms^{-2})$

Two simple pendulums whose lengths are $100\, cm$ and $121\, cm$ are suspended side by side. Their bobs are pulled together and then released. After how many minimum oscillations of the longer pendulum, will be the two be in phase again?

A body executing SHM has its velocity $10\, cm/s$ and $7\, cm/s$, when its displacements from the mean position are $3\, cm$ and $4 \,cm$, respectively The length of path is :

The displacement of a particle performing simple harmonic motion is given by, x=8sin$\omega t+6cos \omega t$, where distance is in cm and time is in second. The amplitude of motion is

The minimum phase difference between two simple harmonic oscillations, $ \, \, \, \, \, \, \, \, y_1 =\frac{1}{2}sin \omega t +\frac{\sqrt 3}{2} cos \omega t$ $ \, \, \, \, \, \, \, \, \, \, \, y_2 =sin \omega t +cos \omega t$ is

Consider the following statements : The total energy of a particle executing simple harmonic motion depends on its : (I) amplitude (II) period (III) displacement Of these statements :

The maximum velocity of a simple harmonic motion represented by $ y=3\sin \left( 100\,t+\frac{\pi }{6} \right)m $ is given by:

A particle executing SHM has amplitude $0.01$ and frequency $60\, Hz$. The maximum acceleration of the particle is:

Which of the following functions represents a simple harmonic oscillation?

A spring has length $l$ and spring constant $k$ . If spring is divided in two equal parts then spring constant of each part is

If a simple harmonic motion is represented by $\frac{d^{2}x}{dt^{2}}+\alpha\,x=0,$ its time period is :

In simple harmonic motion maximum velocity is at

When the kinetic energy of a body executing S.H.M. is $1 / 3$ of the potential energy. The displacement of the body is $x$ percent of the amplitude, where $x$ is :

The length of second's pendulum is $1\, m$ on earth. If mass and diameter of a planet is doubled than that of earth, then its length becomes:

Which one of the following statements) is incorrect about order of reaction?

According to law of mass action rate of a chemical reaction is proportional to :

A reaction involving two different reactants can never be

Consider an endothermic reaction $X\, \to \,Y$ with the activation energies $E_b$ and $E_f$ for the backward and forward reactions respectively. In general :

The rate constant of a reaction depends on:

The temperature coefficient of a reaction is 2. If the velocity of the reaction is 5 at 25�C, then, the velocity of the reaction at 55�C is

If $2.0 \,g$ of a radioactive isotope has a half-life of $20\, h$, the half-life of $0.25 \,g$ of the same substance is: