List of practice Questions

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

At $273^{\circ} C, $ the emissive power of a perfect black body is R. What is its value at $ 0^{\circ} C, $ ?

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:

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 :

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 :

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:

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

The torque of force $ \vec{F}=(2\hat{i}-3\hat{j}+4\hat{k}) $ newton acting at a point $ \vec{r}=(3\hat{i}+2\hat{j}+3\hat{k}) $ metre about origin is:

A particle is moving under the influence of a force which is fixed in magnitude and acting at an angle $ \theta $ in the direction of motion. The path described by the particle is:

$300 \,J$ of work is done in sliding a $2 \,kg$ block up an inclined plane of height $10\,m$. The work done against friction is (Take $ g=10\,m/{{s}^{2}} $ )

A projectile is fired at $ 30{}^\circ $ with momentum $p$. Neglecting friction, tine change in kinetic energy, when it returns back to the ground, will be:

If a car at rest accelerates uniformly and attains a speed of $72 \,km/hr$ in $10 \,s$, then it covers a distance of:

Suppose refractive index $ \mu $ is given as $ \mu =A+B/{{\lambda }^{2}}, $ where $A$ and $B$ are constants and $X$ is wavelength then the dimensions of $B$ are same as that of:

If an iron ball and a wooden ball of the same radius are released from a height $ h $ in vacuum, then time taken by both of them, to reach the ground will be:

A ball of mass $0.25 \,kg$ attached to the ends of a string of length $1.96 \,m$ is rotating in a horizontal circle. The string will break, if tension is more than $25\, N$. What is the maximum velocity with which the ball can be rotated?

In uniform circular motion, the factor that remains constant is:

A common example of $\beta^{-}$decay is $15 P^{32} \rightarrow 16 S^{32}+x+y$ Then $x$ and $y$ stands for

Which one of the following statement is correct in the case of light emitting diodes?

A hot body at temperature $T$ losses heat to the surrounding temperature $T_{S}$ by radiation. If the difference in temperature is small then, the rate of loss of heat by the hot body is proportional to

A double convex lens $(\mu=3 / 2$ ) of focal length $20\, cm$ is totally immersed in water $(\mu=4 / 3)$. Its focal length now will be

Under which of the following conditions is the law $ pV=RT $ obeyed most closely by a real gas?

An artificial satellite revolves around the earth in a circular orbit with a speed $ v $ . If m is the mass of the satellite, its total energy is