List of practice Questions

A ball is gently dropped from a height of \(20\) \(m\). If its velocity increases uniformly at the rate of \(10\) \(m s^{-2}\), with what velocity will it strike the ground? After what time will it strike the ground?

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. 

(i) 4x 2 – 3x + 7 

(ii) y 2 + √2 

(iii) 3 √t + t√2 

(iv) y +\(\frac{ 2 }{ y} \)

(v) x 10 + y 3 + t 50

Which of the following pairs will give displacement reactions?
If a ladder weighing $250\, N$ is placed against a smooth vertical wall having coefficient of friction between it and floor is $ 0.3 $, then what is the maximum force of friction available at the point of contact between the ladder and the floor?
For the following statements, write T for True and F for False.
(a) J.J. Thomson proposed that the nucleus of an atom contains only nucleons.
(b) A neutron is formed by an electron and a proton combining together. Therefore, it is neutral.
(c) The mass of an electron is about \(\frac1{ 2000}\) times that of proton.
(d) An isotope of iodine is used for making tincture iodine, which is used as a medicine.
If $sin\, \theta = sin \,15^{\circ}+ sin\, 45^{\circ}$, where $0^{\circ} < \theta < 180^{\circ}$, then $\theta$ is equal to
Differentiate between the principle of estimation of nitrogen in an organic compound by (i) Dumas method and (ii) Kjeldahl’s method.
A bucket of water contain a wooden block floating in water with(4/5)th of its volume sub merged in the water. The bucket is placed on the floor of a lift and the lift now starts moving down with uniform accleration. The block of wood now

\(\int \sqrt{x^2-8x+7}dx\) is equal to

0.3780 g of an organic chloro compound gave 0.5740 g of silver chloride in Carius estimation. Calculate the percentage of chlorine present in the compound.
A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.

In Fig. 9.24, ∠PQR = 100°, where P, Q and R are points on a circle with centre O. Find ∠OPR.

PQR = 100°, where P, Q and R are points on a circle with centre

Justify giving reactions that among halogens, fluorine is the best oxidant and among hydrohalic compounds, hydroiodic acid is the best reductant.
If the diagonals of a parallelogram are equal, then show that it is a rectangle.
Figure 9.37 shows an equiconvex lens (of refractive index 1.50) in contact with a liquid layer on top of a plane mirror. A small needle with its tip on the principal axis is moved along the axis until its inverted image is found at the position of the needle.
an equiconvex lens in contact with a liquid layer on top of a plane mirror

What is desertification and write about the areas affected by it in Tamil Nadu.

Study the following lists. Identify the correct match.
Three particles A B & C start from the origin at the same time; A with U velocity 'a' along x - axis, B with a velocity 'b' along y-axis and C with velocity 'c' in XY plane along the line x = y. The magnitude of 'c' so that the three always remain collinear is :
In any period, the valency of an element with respect to oxygen
Integrate the function: \(e^{2x} sinx\)
Integrate the function: \(cot \ x .log\ sin\  x\)
Find the integrals of the function: \(cos^4 2x\)
Integrate the function: \(\frac{x+2}{\sqrt {x^2+2x+3}}\)
Time constant of LC circuit is
Find \(\frac {dy}{dx}\): \(2x+3y=sin\ x\)