List of practice Questions

A stone of mass $m$ tied to a string of length $l$ is rotated in a circle with the other end of the string as the centre. The speed of the stone is $ \upsilon $ . If the string breaks, the stone will:
The first diffraction minimum due to single slit diffraction is $ \theta , $ for a light of wave length $ 5000\, ?$ . If the width of the slit is $ 1\times {{10}^{-4}}cm, $ then the value of $ \theta $ is:
The magnetic force on a point charge is $ \vec{F}=q(\vec{v}\times \vec{B}) $ Here, $ q= $ electric charge $ \vec{v}= $ velocity of point charge $ \vec{B}= $ magnetic field The dimensions of $\vec{B}$ is:
A body initially at rest is moving with uniform acceleration $a$. Its velocity after $n$ second is $ \upsilon $ . The displacement of the body in $2 s$ is:
Two stones are projected with same velocity $v$ at an angle $\theta \&(90-\theta) .$ If $H$ and $H_{1}$ are the greatest heights in the two paths, what is the relation between $R, H$ and $H_{1} ?$
When a body moves with constant speed in a circular path, then:
A disc of mass $100\, g$ is kept floating horizontally in air by firing bullets, each of mass $5\, g$ with the same velocity at the same rate of $10$ bullets per second. The bullets rebound with the same speed in opposite direction, the velocity of each bullet at the time of impact is:
An H-shaped grey matter occurs internally in
A convex lens has mean focal length of $20\, cm$. The dispersive power of the material of the lens is $0.02$. The longitudinal , chromatic aberration for an object at infinity is
A wave equation which gives the displacement along the direction is given by $ y=0,001\text{ }sin\text{ }(100r+x) $ where, $ x $ and y are in metre and $ t $ in second. This equation represents a wave
An air column in a pipe which is closed at one end, will be in resonance with the vibrating body of frequency $166\, Hz$; if the length of the air column is
A sample of an ideal gas occupies a volume $V$ at pressure $p$ and absolute temperature $T$. The mass of each molecule is $m$, then the density of the gas is
$ A\,220\,V,100\,W $ bulb is joined with a $110\, V$ supply. The power consumed by the bulb is
A beam of light composed of red and green rays is incident obliquely at a point on the face of a rectangular glass slab. When coming out on the opposite parallel face, the red and green rays emerge from
A conducting wire of cross-sectional area 1 $ c{{m}^{2}} $ has $ 3\times {{10}^{23}} $ charge carriers per $ metr{{e}^{3}} $ . If wire carries a current $24 \,mA$, then rift velocity of carriers is
At $273^{\circ} C, $ the emissive power of a perfect black body is R. What is its value at $ 0^{\circ} C, $ ?
The energy gap between the valence band and the conduction band for a material is 6 e V. The material is
Velocity of sound waves in air is $330\, m/s.$ For a particular sound in air, a path difference of $40\, cm$ is equivalent to a phase difference of $1.6\, \pi$. The frequency or the wave is:
A sphere of diameter $0.2\, m$ and mass $2\, kg$ is rolling on an inclined plane with velocity $ v=0\, . 5\, m/s.$ The kinetic energy of the sphere is:
An ice-cube of density $900\, kg / m ^{3}$ is floating in water of density $1000\, kg / m ^{3}$. The percentage of volume: of ice-cube outside the water is :
Five particles of mass $2\, kg$ are attached to the rim of a circular disc of radius $0.1\, m$ and negligible mass. Moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its place is :
The radius of the convex surface of plano-convex lens is $20\, cm$ and the refractive index of the material of the lens is $1.5 .$ The focal length is :
A plane metallic sheet is placed with its face parallel to lines of magnetic induction $B$ of a uniform field. A particle of mass $m$ and charge $q$ is projected with a velocity $v$ from a distance $d$ from the plane normal to the lines of induction. Then, the maximum velocity of projection for which the particle does not hit the plate is :
The length, breadth and thickness of a block are given by $l=12\, cm,\, b=6\, cm$ and $t=2.45\, cm$. The volume of the block according to the idea of significant figures should be :
The fertilization of male pronucleus and female pronucleus is