List of practice Questions

A particle doing S.H.M. having amplitude 5 cm, mass 0.5 kg and angular frequency 5 is at 1 cm from mean position. Find potential energy and kinetic energy.

The $IUPAC$ name of the following compound is

The characteristic distance at which quantum gravitational effects are significant, the Planck length, can be determined from a suitable combination of the fundamental physical constants $G, h$ and $c$. Which of the following correctly gives the Planck length ?

Light of wavelength $550\, nm$ falls normally on a slit of width $22.0 \times 10^{-5} \, cm$. The angular position of the second minima from the central maximum will be (in radians) :

A thin uniform bar of length $L$ and mass $8m$ lies on a smooth horizontal table. Two point masses $m$ and $2m$ are moving in the same horizontal plane from opposite sides of the bar with speeds $2v$ and $v$ respectively. The masses stick to the bar after collision at a distance $\frac{L}{3}$ and $\frac{L}{6}$ respectively from the centre of the bar. If the bar starts rotating about its center of mass as a result of collision, the angular speed of the bar will be :

Seven identical circular planar disks, each of mass $M$ and radius $R$ are welded symmetrically as shown. The moment of inertia of the arrangement about the axis normal to the plane and passing through the point $P$ is -

A disc rotates about its axis of symmetry in a horizontal plane at a steady rate of $3.5$ revolutions per second. A coin placed at a distance of $1.25\, cm$ from the axis of rotation remains at rest on the disc. The coefficient of friction between the coin and the disc is : $(g = 10 \, m/s^2)$

A coil of cross-sectional area A having n turns is placed in a uniform magnetic field B. When it is rotated with an angular velocity $\omega$, the maximum e.m.f. induced in the coil will be :

A copper rod of mass m slides under gravity on two smooth parallel rails, with separation $l $ and set at an angle of $\theta$ with the horizontal. At the bottom, rails are joined by a resistance $R$. There is a uniform magnetic field $B$ normal to the plane of the rails, as shown in the figure. The terminal speed of the copper rod is :

In a potentiometer experiment, it is found that no current passes through the galvanometer when the terminals of the cell are connected across $52\, cm$ of the potentiometer wire. If the cell is shunted by a resistance of $5 \Omega$ , a balance is found when the cell is connected across $40\, cm$ of the wire. Find the internal resistance of the cell.

On interchanging the resistances, the balance point of a meter bridge shifts to the left by $10\, cm$. The resistance of their series combination is $1 \, k\Omega$ . How much was the resistance on the left slot before interchanging the resistances ?

Two batteries with e.m.f. $12\, V$ and $13\, V$ are connected in parallel across a load resistor of $10 \, \Omega$. The internal resistances of the two batteries are $1 \, \Omega$ and $2 \, \Omega$ respectively. The voltage across the load lies between :

The velocity-time graphs of a car and a scooter are shown in the figure. (i) The difference between the distance travelled by the car and the scooter in $15\, s$ and (ii) the time at which the car will catch up with the scooter are, respectively.

Which of the following features is used to identify a male cockroach from a female cockroach ?

What is Showrooming?

Which of the following is NOT one of the World Heritage Sites?

Which of the following is not a video streaming service?

Match the rockets/missions to their space agencies:

	Rocket/Mission		Space Agency
a	Falcon 9	I	ISRO
b	Mars Rover	II	ESA
c	Exo Mars trace gas Orbiter	III	NASA
d	Yinghuo	IV	Space X
e	Mangalyaan	V	CNSA

A convergent doublet of separated lenses, corrected for spherical aberration, has resultant focal length of $10 \,cm$. The separation between the two lenses is $2 \,cm$. The focal lengths of the component lenses are :

In $KO_2$, the nature of oxygen species and the oxidation state of oxygen atom are, respectively :

In the molecular orbital diagram for the molecular ion, $N_2{^{+}}$, the number of electrons in the $\sigma_{2p}$ molecular orbital is :

At $518^{\circ} C$ , the rate of decomposition of sample of gaseous acetaldehyde, initially at a pressure of $363$ Torr, was $1. 00$ Torr $s^{-1}$ when $5\%$ had reacted and $0.5$ Torr $s^{-1}$ when $33\%$ had reacted. The order of the reaction is -

A $100.0\, mL$ dilute solution of $Ag ^{+}$is electrolysed for $15.0$ minutes with a current of $1.25 \,mA$ and the silver is removed completely. What was the initial $\left[ Ag ^{+}\right]$?

How long (approximate) should water be electrolysed by passing through $100$ amperes current so that the oxygen released can completely burn $27.66 \,g$ of diborane ? (Atomic weight of $B = 10.8\, u$ )

In a Fraunhofer diffraction at a single slit, if yellow light illuminating the slit is replaced by blue light, then diffraction bands