List of practice Questions

A point mass is subjected to two simultaneous sinusoidal displacements in x-direction, $ x_1 (t) = A sin \omega t $ and $x_2(t) = Asin\bigg( \omega t + \frac{ 2 \pi }{ 3} \bigg) $ Adding a third sinusoidal displacement $x_3(t)=B sin(\omega l + \Phi) $ brings the mass to a complete rest. The values of B and $\Phi $ are
A person measures the time period of a simple pendulum inside a stationary lift and finds it to be $T$. If the lift starts accelerating upwards with an acceleration $g/3$, the time period of the pendulum will be
During the phenomenon of resonance
The potential energy of a weightless spring compressed by a distance a is proportional to
A spring of force constant $k $ is cut into two pieces such that one piece is double the length of the other. Then the longer piece will have a force constant of
A particle at the end of a spring executes simple harmonic motion with a period $T_1$, while the corresponding period for another spring is $T_2$ . If the period of oscillation with the two springs in parallel is $T$, then
Which one of the following represents simple harmonic motion?
If maximum speed of a particle in SHM is given by $V_m$, what is its average speed?
In simple harmonic motion, loss of kinetic energy is proportional to
Which of the following equation does not represent a SHM?
Two pendulum have time period T and $ \frac{5T}{4} $ they start SHM at the same time form the mean position. What will be the phase difference between them after the bigger pendulum completed one oscillation
An open pipe of length 33 cm resonates with frequency of 1000 Hz. If the speed of sound is $ 333\,m{{s}^{-1}}, $ then this frequency is
In a simple pendulum the breaking strength of the string is double the weight of the bob. The bob is released from rest when the string is horizontal. The string breaks when it makes an angle $ \theta $ With the vertical
Two pendulums of lengths 100 cm and 121 cm start vibrating. At some instant the two are at the mean position in the same phase. After how many vibrations of the longer pendulum will the two be in the same phase at the mean position again?
A child swinging on a swing in sitting position, stands up, then the time period of swing will
The fundamental frequency of a closed pipe is 220 Hz. If $\frac{1}{4}$ of the pipe is filled with water, the frequency of the first overtone of the pipe now is
The rate constant of a reaction is $\text{mol} \,L^{-}\, S^{-1}$. The reaction is
Which one of the following is an example for pseudo first order reaction?
For a first order gas phase reaction- $A_{\left(g\right)} \to 2B_{\left(g\right)} + C_{\left(g\right)}$ P be initial pressure of A and P the total pressure at time 't'. Integrated rate equation is
If $a, b, c$ are in $HP,$ then $\frac{a}{b+c}, \frac{b}{c+a}, \frac{c}{a+b}$ will be in
If one $AM 'A'$ and two $GM$ $p$ and $q$ are inserted between two given numbers, then find the value of $\frac{p^{2}}{q}+\frac{q^{2}}{p}$
Among the following which structure is not functionally similar to others
Which one among the following groups of plants is placed in the beginning of Engler and Prantl's system of classification?
Which organism lacks archegonium ?
Which of the following plants has the largest gametophyte ?