List of practice Questions

A flat mirror revolves at a constant angular velocity making $2\, rev\, s^{-1}.$ With what velocity will a light spot move along a spherical screen with a radius of $10\, m$, if the mirror is at a centre of curvature of the screen ?

A $1\,m$ long steel wire of cross-sectional area $ 1\,mm^{2}$ is extended by $1\, mm$. If $ Y=2\times 10^{11}N/m^{2}$ , then the work done is :

The distance between the sun and the earth be $r$, then the angular momentum of the earth around the sun is proportional to

In acid rain SO accounts for

CFC is reponsible for

Which of the following is a $ C_{4} $ plant?

Which of the following plants is used as biofertilizer?

Which ore contains both iron and copper?

When gynoecium is present in the topmost position of thalamus, the flower is known as

The type of leaf in Daucus carora is

Aerenchyma provides

Tuberous roots are found in

Umbel inflorescence is found in

In Pinus, the third tier of embryonal cells from below is known as

The conversion of ammonia into nitrites and nitrates is called :

The capitulum type of inflorescence is found in :

In which of the following process, convection does not take place primarily?

A machine which is $75\%$ efficient, uses $12\, J$ of energy in lifting $1 \,kg$ mass through a certain distance. The mass is then allowed to fall through the same distance. The velocity at the end of its fall is

In an equilateral triangle $ABC$, $ F_{1},F_{2} $ and $ F_{3} $ are three forces acting along the sides $AB, BC$ and $AC$ as shown in the given figure. What should be the magnitude of $F_3$, so that the total torque about $ O $ is zero ?

The torque of force $\vec{ F }=(2 \hat{ i }-3 \hat{ j }+4 \hat{ k }) N$ acting at a point $\vec{ r }=(3 \hat{ i }+2 \hat{ j }+3 \hat{ k }) m$ about origin 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 $g=10\, m / s ^{2}$ )

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

We wish to see inside an atom. Assuming the atom to have a diameter of $100 \,pm$, this means that one must be able to resolve a width of say $10\, pm$. If an electron microscope is used, the minimum electron energy required is about

if $p=\begin {bmatrix} \sqrt 3 /2 & 1/2 \\ -1/2 & \sqrt 3/2 \end {bmatrix} , A=\begin {bmatrix} 1 & 1 \\ 0 & 1 \end {bmatrix}$ and $ Q=PAP^T,\ then$ $P^TQ^{2005}P $ is

If $\int_{sin x}^1 \, t^2 f(t) dt =1-sin x, \forall x \in (0,\pi/2), \, then \, f\bigg(\frac{1}{\sqrt 3}\bigg)$ is