List of practice Questions

An earth satellites $ S $ has an orbit radius which is $4$ times that of communication satellite $C$. The period of revolution of $ S $ will be:

$ n $ small balls, each of mass $ m $ impinge elastically each second on a surface with a velocity $ u $ , then the force experienced by the surface in one second, will be:

Dimensions of surface tension are:

A wet open umbrella is held vertical and it whirled about the handle at a uniform rate of $21$ revolutions in $44\, s$. If the rim of the umbrella is a circle of $1\, m$ in diameter and the height of the rim above the flour is $4.9\, m$, the locus of the drop is a circle of radius:

The moment of inertia of a body about a given axis is $1.2 \,kg - m ^{2}$. To produce a rotational kinetic energy of $1500\, J$ an angular acceleration of $25\, rad / s ^{2}$ must be applied for :

The reaction of propene with HOCl proceeds via the addition of

The number of S - S bonds in sulphur trioxide trimer, $(S_3O_9)$ is

The correct order of equivalent conductance at infinite dilution of $LiCl, NaCl $ and $KCl $ is

Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r. If PS and RQ intersect at a point X on the circumference of the circle, then 2r equals

Let $z_1$ and $z_2$ be nth roots of unity which subtend a right angled at the origin, then n must be of the form (where, k is an integer)

If the positive numbers a,b,c,d are in AP. Then, $abc, abd, acd, bcd $ are

In the binomial expansion of $(a - b)^n , n \ge 5 $ the sum of the 5th and 6th terms is zero. Then, a /b equals

Let AB be a chord of the circle $x^2 + y^2 = r^2$ subtending a right angle at the centre. Then, the locus of the centroid of the $\Delta PAB$ as P moves on the circle, is

Let $ \alpha, \beta$ be the roots of $x^2 - x + p = 0$ and $y, \delta$ be the roots of $x^2 - 4x + q = 0$ if $ \alpha, \beta, y \delta$ are in GP, then the integer values of p and q respectively are

In a solid $'AB'$ having the $NaCl$ structure, $'A'$ atoms occupy the corners of the cubic unit cell. If all the face centred atoms along one of the axes are removed, then the resultant stoichiometry of the solid is

Let $f(x) = (1 + b^2)x^2 + 2bx + 1$ and let m(b) be the minimum value of f(x). As b varies, the range of m(b) is

I -propanol and 2-propanol can be best distinguished by

Acetophenone $(Ph-\overset{\underset{||}{O}}{C}- CH_3)$ is prepared in the laboratory by

A string of negligible mass going over a clamped pulley of mass $m$ supports a block of mass $M$ as shown in the figure. The force on the pulley by the clamp is given by

A simple pendulum has a time period $T_1$ when on the earth's surface and $T_2 $ when taken to a height R above the earth's surface, (where R is the radius of the earth). The value of $ T_2/T_1 $ is

A non-planar loop of conducting wire carrying a current I is placed as shown in the figure. Each of the straight sections of the loop is of length 2a. The magnetic field due to this loop at the point P (a, 0, a) points in the direction

The number of nodal planes in a $p_x$ orbital is

Saturated solution of $KNO_3$ is used to make -salt-bridge- because

The wavelength associated with a golf ball weighing 200 g and moving at a speed of 5 m/h is of the order

The quantum numbers $+\frac{1}{2}$ and $-\frac{1}{2}$ for the electron spin represent