List of practice Questions

A square loop of 10 turns has each side 10 cm. It rotates in a magnetic field of 0.25T and the maximum induced emf is 20 mV the angular speed of rotation is
A square loop of side $12 \,cm$ and resistance $0.60 \, \Omega$ is placed vertically in the east-west plane. A uniform magnetic field of $0.10\, T$ is set up across the plane in north-east direction. The magnetic field is decreased to zero in $0.6 \,s$ at a steady rate. The magnitude of current during this time interval is
A sports team of $11$ students is to be constituted, choosing atleast $5$ from class and atleast $5$ from Class If there are $20$ students in each of these classes, in how many ways can the team be constituted?
A spherical convex surface of radius of curvature R separates air $(\mu_0=1)$ from glass $(\,_o\mu_g=1.5)$ The center of curator is in the glass. A point object P placed in air is found to have a real image Q in the glass. The line PQ cuts the surface at a point O and PO,= O The distance PO is equal to
A spherical soap bubble of radius 1 cm is formed inside another of radius 3 cm. The radius of single soap bubble which maintain's the same pressure difference as inside the smaller and outside the larger soap bubble is.......cm.
A spherical air bubble in water will act as
A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It rolls down a smooth surface to the ground, then climbs up another hill of height 30 m and finally rolls down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball is
A spherical body of mass $m$ and radius $r$ is allowed to fall in. a medium of viscosity $\eta$. The time in which the velocity of the body increases from zero to $0.63$ times the terminal velocity $(v)$ is called time constant $\tau$. Dimensionally, $\tau$ can be represented by (Given $[\eta] =$ $[ML^{-1}T^{-1}]$)
A sphere of solid material of relative density 9 has a concentric spherical cavity and sinks in water. If the radius of the sphere be R, then the radius of the cavity (r) will be rriated to R as
A spherical air bubble in water behaves as:
A space station is set up in space at a distance equal to earth's radius from earth's surface. Suppose a satellite can be launched from space station. Let $V_1$ and $V_2$ be the escape velocites of the satlhte on earth's surface and space station respectively. Then
A speaks truth in 75% and B in 80% of the cases. In what percentage of cases are they likely to contradict each other narrating the same incident ?
A sphere cannot roll on
$A$ sphere contracts in volume by $0.01$%, when taken to the bottom of sea $1\, km$ deep. The bulk modulus of the material of the sphere is (Given density of sea water may be taken as $1.0\times10^{3} kg \,m^{-3})$.
A somatic hybrid between potato and tomato is named as
A sound wave is passing through air column in the form of compression and rarefaction. In consecutive compressions and rarefactions,
a source of sound is travelling towards stationary observer. The freqency of sound heard by the observeris 25% more than that of the actual freqency if speed of sound is V, that of the source is
A solution of a compound $X$ in dilute $HCl$ on treatment with a solution of $BaCl_2$ gives a white precipitate of a compound $Y$ which is insoluble in cone. $HNO_3$ and conc. $HCl$. Compound $X$ imparts golden yellow colour to the flame. $\underset{\text{(imparts golden yellow colour)}}{ {X (Solution \,in \,dilute HCl) }}$ $+\, {BaCl2 -> }$$\underset{\text{Whit ppt}}{ {Y}}$ $ {->[\text{Conc}. HNO_3][\text{Conc}.HCl] Insoluble}$ What are compounds $X$ and $Y$ ?
A solution of 10 ml $\frac{M}{10} {FeSO_4}$ was titrated with $ {KMnO_4}$ solution in acidic medium. The amount of $ {KMnO_4}$ used will be :
A solid $X^{+} Y^{-}$ has a bee structure. If the distance of closest approach between the two atoms is 173 pm, the edge length of the cell is
A solution containing 0.319 g of $CrCl_3?6H_2O$ was passed through a certain exchange resin and acid coming of cation exchange resin required 28.5 mL of 0.125 M NaOH. The correct formula of complex is (mol. wt. of complex = 266.7)
A solid is made of two elements $X$ and $Z$. The atoms $Z$ are in $ccp$ arrangement while atoms $X$ occupy all the tetrahedral sites. What is the formula of the compound ?
A solid sphere falls with a terminal velocity $ v $ in air. If it is allowed to fall in vacuum,
A solid sphere of mass M, radius R and having moment of inertia about an axis passing through the centre of mass as I, is recast into a disc of thickness t, whose moment of inertia about an axis passing through its edge and perpendicular to its plane remains I. Then, radius of the disc will be
A solid cylinder of mass $20\, kg$ and radius $20\, cm$ rotates about its axis with an angular speed of $100 \,rad\, s ^{-1}$ . The angular momentum of the cylinder about its axis is