List of practice Questions

A spring has length $I$ and spring constant $k$. If spring is divided in two equal pans then spring constant of each part is:
The total energy of particle, executing simple harmonic motion is
Two springs are connected to a block of mass $M$ placed on a frictionless surface as shown below. If both the springs have a spring constant $k$, the frequency of oscillation of the block is
A simple pendulum has time period $T$. The bob is given negative charge and surface below it is given positive charge. The new time period will be:
The bob of a simple pendulum executes simple harmonic motion in water with a period $t$, while the period of oscillation of the bob is $t_0$ in air. Neglecting frictional force of water and given that the density of the bob is $\left(\frac{4}{3}\right)\times1000\,kg/m^{3}.$ What relationship between $t$ and $t_0$ is true?
A particle of mass $m$ is attached to a spring (of spring constant $k$) and has a natural angular frequency $\omega_0$. An external force $F(t)$ proportional to $cos\omega t$ $(\omega?\omega_0)$ is applied to the oscillator. The time displacement of the oscillator will be proportional to
If for a particle executing SHM, the equation of SHM is given as y= a cos $\omega$t Then which of the following graph represents the variation in its potential energy?
A simple pendulum is vibrating in an evacuated chamber, it will oscillate with:
A spring executes SHM with mass of $10 \,kg$ attached to it. The force constant of spring is $10\, N / m$. If at any instant its velocity is $40 \,cm / sec$, the displacement will be (where amplitude is $0.5 \,m$ ) :
How is the time period of simple pendulum vary with its amplitude?
In forced oscillation of a particle the amplitude is maximum for a frequency $\omega_1$ of the force, while the energy is maximum for a frequency $\omega_2$ of the force, then
One-fourth length of a spring of force constant $k$ is cut away. The force constant of the remaining spring will be
For a reaction, the half-life is independent of initial concentration. What is the order of that reaction?
For a first order reaction, $(A)\to $ product. Concentration of $A$, changes from $0.1\, M$ to $0.025 \,M$ in $40$ minutes the rate of reaction of when concentration of $A$ is $0.01 \,M$ is :
Unit of the constant of zero order reaction is:
The half - life of a radioisotope is four hours. If the initial mass of the isotope was 200 g, the mass remaining after 24 hours undecayed is
First land inhabiting plants are
In Ulothrix meiosis takes place in
A gas has a vapour density $11.2.$ The volume occupied by $lg$ of the gas at NTP is :
To neutralize completely $20 \,mL$ of $0.1\, M$ aqueous solution of phosphorous acid $(H_3PO_3)$, the volume of $0.1\, M$ aqueous $KOH$ solution required is
On reduction with hydrogen, $3.6 \,g$ of an oxide of metal left $3.2 \,g $ of metal. If the vapour density of metal is $32$ , the simplest formula of the oxide would be :
The ammonia evolved from the treatment of 0.30 g of an organic compound for the estimation of nitrogen was passed in 100 mL of 0.1 M sulphuric acid. The excess of acid required 20 mL of 0.5 M sodium hydroxide solution hydroxide solutio for complete neutralization. The organic compound is
The significant figure in 3400 are
Consider the charge configuration and a spherical Gaussian surface as shown in the figure. When calculating the flux of the electric field over the spherical surface, the electric field will be due to.
The electric field due to a uniformly charged sphere of radius $R$ as a function of the distance from its centre is represented graphically by