List of top Physics Questions

Assertion A : If in five complete rotations of the circular scale, the distance travelled on main scale is 5 mm and there are 50 total divisions on circular scale, then least count is 0.001 cm.
Reason R : Least Count = $\frac{\text{Pitch}}{\text{Total divisions on circular scale}}$

In the given figure, a mass $M$ is attached to a horizontal spring which is fixed on one side to a rigid support. The spring constant of the spring is $k$. The mass oscillates on a frictionless surface with the time period $T$ and amplitude $A$. When the mass is in an equilibrium position, as shown in the figure, another mass $m$ is gently fixed upon it. The new amplitude of oscillation will be :

If the length of the pendulum in pendulum clock increases by 0.1%, then the error in time per day is :

Two simple harmonic motions are represented by the equations $ x_1 = 5 \sin(2\pi t + \frac{\pi}{4}) $ and $ x_2 = 5\sqrt{2}(\sin(2\pi t) + \cos(2\pi t)) $. The amplitude of second motion is __________ times the amplitude in first motion.

The variation of displacement with time of a particle executing free simple harmonic motion is shown in the figure.
The potential energy U(x) versus time (t) plot of the particle is correctly shown in figure :

Two simple harmonic motion, are represented by the equations
$y_1 = 10 \sin\left(3\pi t + \frac{\pi}{3}\right)$
$y_2 = 5 (\sin(3\pi t) + \sqrt{3} \cos(3\pi t))$
Ratio of amplitude of $y_1$ to $y_2=x: 1$. The value of x is _________.

A particle of mass $ 1 \, kg $ is hanging from a spring of force constant $ 100 \, Nm^{-1} $. The mass is pulled slightly downward and released so that it executes free simple harmonic motion with time period T. The time when the kinetic energy and potential energy of the system will become equal, is $ \frac{T}{x} $. The value of x is $\dots\dots\dots$.

A bob of mass 'm' suspended by a thread of length $l$ undergoes simple harmonic oscillations with time period T. If the bob is immersed in a liquid that has density $\frac{1}{4}$ times that of the bob and the length of the thread is increased by $1/3^{rd}$ of the original length, then the time period of the simple harmonic oscillations will be :

For a body executing S.H.M. :
(a) Potential energy is always equal to its K.E.
(b) Average potential and kinetic energy over any given time interval are always equal.
(c) Sum of the kinetic and potential energy at any point of time is constant.
(d) Average K.E. in one time period is equal to average potential energy in one time period.
Choose the most appropriate option from the options given below :

Two identical springs of spring constant '2k' are attached to a block of mass m and to fixed support (see figure). When the mass is displaced from equilibrium position on either side, it executes simple harmonic motion. The time period of oscillations of this system is:

Y = A sin($\omega$t+$\phi_0$) is the time-displacement equation of a SHM. At t = 0 the displacement of the particle is Y = $\frac{A}{2}$ and it is moving along negative x-direction. Then the initial phase angle $\phi_0$ will be:

A particle starts executing simple harmonic motion (SHM) of amplitude 'a' and total energy E. At any instant, its kinetic energy is $\frac{3E}{4}$ then its displacement 'y' is given by :

If the time period of a two meter long simple pendulum is 2 s, the acceleration due to gravity at the place where pendulum is executing S.H.M. is :

In the given figure, a mass M is attached to a horizontal spring which is fixed on one side to a rigid support. The spring constant of the spring is k. The mass oscillates on a frictionless surface with time period T and amplitude A. When the mass is in equilibrium position, another mass m is gently fixed upon it. The new amplitude of oscillation will be :

The function of time representing a simple harmonic motion with a period of $\frac{\pi}{\omega}$ is:

In the reported figure, two bodies A and B of masses 200 g and 800 g are attached with the system of springs. Springs are kept in a stretched position with some extension when the system is released. The horizontal surface is assumed to be frictionless. The angular frequency will be ________ rad/s when $k = 20 \text{ N/m}$.

A particle performs simple harmonic motion with a period of 2 second. The time taken by the particle to cover a displacement equal to half of its amplitude from the mean position is 1/a s. The value of 'a' to the nearest integer is __________.

In the given figure, a body of mass M is held between two massless springs, on a smooth inclined plane. If each spring has spring constant k, the frequency of oscillation of given body is :

When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is :

A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 meter laying on the table. If k is the kinetic energy of the chain in joule as it completely slips off the table, then the value of k is _________.
(Take $g = 10 \text{ m/s}^2$)

The potential energy (U) of a diatomic molecule is $U = \frac{\alpha}{r^{10}} - \frac{\beta}{r^5} - 3$. The equilibrium distance between two atoms will be $\left( \frac{2\alpha}{\beta} \right)^{\frac{a}{b}}$ , where a = _________.

A ball of mass 4 kg, moving with a velocity of 10 ms$^{-1}$, collides with a spring of length 8 m and force constant 100 Nm$^{-1}$. The length of the compressed spring is x m. The value of x, to the nearest integer, is __________.

Two persons A and B perform same amount of work in moving a body through a certain distance d with application of forces acting at angles 45$^\circ$ and 60$^\circ$ with the direction of displacement respectively. The ratio of force applied by person A to the force applied by person B is $\frac{1}{\sqrt{x}}$. The value of x is ________.

A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time 't' is proportional to :

Two particles having masses 4 g and 16 g respectively are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentum is n : 2. The value of n will be ________ .