List of practice Questions

If $A = \begin{pmatrix}1&5\\ 0&2\end{pmatrix}$ , then

The area under velocity-time graph for a particle in a given interval of time represents

The direction of propagation of electromagnetic wave is along

Find the projection of the vector \(\hat{i}+3\hat{j}+7\hat{k}\) on the vector \(7\hat{i}-\hat{j}+8\hat{k}.\)

Do you think the title of this story is suitable for it ? Can you think of any other title(s) ?

What did he find in a secret drawer? Who do you think had put it in there?

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion(A): Electric field is discontinuous across the surface of a spherical charged shell
Reason (R): Electric potential is continuous across the surface of a spherical charged shell
In the light of the above statements, choose the correct answer from the options given below

If $|z + 1| < |z - 1|$ , then $z$ lies

A wave on a string is described by $u(x,t)=0.005 \sin (6.28x-314t)$ in which all quantities are in SI units. It's wavelength is _______.

If a$_1$ = 4 and $a_{n+1}=a_{n}+4n\quad for\quad n\ge1. $ then the value of a$_{100}$ is

If $a$ is positive and if $A$ and $G$ are the arithmetic mean and the geometric mean of the roots of $ {{x}^{2}}-2ax+{{a}^{2}}=0 $ respectively, then

Three point charges q, - 2q and - 2q are placed at the vertices of an equilateral triangle of side a. The work done by some external force to in crease their separation to 2a will be

As per this diagram a point charge +q is placed at the origin O. Work done in taking another point charge -Q from the point A [co-ordinates (0,a)] to another point B [coordinates (a,0)] along the straight path AB is:
 

A solid cylinder rolls down an inclined plane of height 3 m and reaches the bottom of plane with angular velocity, of 2 $ \sqrt {2} rads ^{-1} $ . The radius of cylinder must be (Take g = 10 $ ms ^{-2}$ )

A wire of natural length $ l, $ Youngs modulus $ Y $ and area of cross-section $ A $ is extended by $ x $ . Then the energy stored in the wire is given by

The element with atomic number 117 has not been discovered yet. In which family would you place this element if discovered?

Which one of the following is not a sulphide ore?

A ray of light passes through an equilateral prism such that an angle of incidence is equal to the angle of emergence and the latter is equal to $ \frac{3}{4} $ th the angle of prism. The angle of deviation is:

A sample of phosphorus trichloride $(PCl_3)$ contains 1.4 moles of the substance. How many atoms are there in the sample ?

A transverse wave is described by the equation $ y={{y}_{0}}\sin 2\pi \left( ft-\frac{x}{\lambda } \right). $ The maximum particle velocity is equal to four times the wave velocity, if

After terminal velocity is reached, the acceleration of a body falling through a fluid is

Aldehydes that do not undergo aldol condensation are (1) propanal (2) trichloroethanal (3) methanal (4) ethanal (5) benzaldehyde

Cetyltrimethylammonium bromide is a popular

Disaccharide in milk is