Explore topic-wise InterviewSolutions in Current Affairs.

Match column A with their correct differentials in column B

$$\begin{array}{cccccc}& ColumnA& & ColumnB& & \\ p.& cosx& \left(i\right)& sinx& \left(v\right)& si{n}^{2}x\\ q.& tanx& \left(ii\right)& cosx& \left(vi\right)& se{c}^{2}x\\ r.& cosecx& \left(ii\right)& sinxcosx& \left(vii\right)& -cotxcosecx\\ s.& sinx& \left(iii\right)& tanxsecx& \left(viii\right)& cotxcosecx\\ t.& cotx& \left(iv\right)& -sinx& \left(ix\right)& -cose{c}^{2}x\end{array}$$​

In projectile motion why do we resolve the velocity in two mutually pependicular direction

If the coefficient of friction between all surfaces (fig.) is 0.4, then find the minimum force F to have equilibrium of the system.

A conducting sphere of radius $10\text{cm}$ is charged with $10\text{C}$. Another uncharged sphere of radius $20\text{cm}$ is allowed to touch it for some time. After that if the spheres are separated, then surface density of charges on the spheres will be in the ratio of

What is difference between the statement electric field due to spherical shell and electric field due to solid sphere And also find difference between spherical shell and solid sphere

A mercury arc lamp provides $0.1\text{W}$ of ultra-violet radiation at a wavelength of $\lambda =2537\stackrel{\circ }{A}$ only. The photo tube (cathode of photo electric device) consists of potassium and has an effective area of $4c{m}^2$. The cathode is located at a distance of $1\text{m}$ from the radiation source. The work function for potassium is ${\varphi }_0=2.2eV$.
What is the cut off potential $V_0$ ?

Write the main points of bohrs atomic model . Write any two limitations .

A body is moving down a long inclined plane of angle of inclination $\theta$. The coefficient of friction between the body and the plane varies as $\mu =0.5x$, where $x$is the distance moved down the plane. The body will have the maximum velocity when it has travelled a distance x given by

The oxygen molecule has a mass of $5.30\times {10}^{-26}kg$ and a moment of inertia of $1.94\times {10}^{-46}kg{m}^2$ about an axis through its centre perpendicular to the lines joining the two atoms.
Suppose the mean speed of such a molecule in a gas is 500 m/s and that its kinetic energy of rotation is two thirds of its kinetic energy of translation. Find the average angular velocity of the molecule.

A particle of charge q₁ = 3 μC is located on x-axis at the point x₁ = 6 cm. A second point charge q₂ = 2 μC is placed on the x-axis at x₂ = -4 cm. The absolute electric potential at the origin is

The ratio of radii of two wires of same material is $3:1$. If these wires are stretched by equal force, the ratio of stresses produced in them is

Water is flowing through a horizontal tube. The pressure of the liquid in the portion where velocity is 2 m/s is 2 m of Hg. What will be the pressure in the portion where velocity is 4 m/s?

The mutual inductance between two planar concentric rings of radii $r_{1}and{r}_2(with{r}_1>>r_2)$ placed in air is given by

The electric potential energy of the alpha particle at the distance of closest approach from the nucleus was found to be equal to

A hollow sphere filled with water and one small hole at bottom is hung by a long thread and made to oscillates. What would be the effect on the period of oscillations as water slowly flows out of the hole at bottom?

When the resistance of a resistor is increased by 10% in the left gap of a metre bridge then how many times is the increase in its original value

A disc of mass $4m$ is resting on a horizontal frictionless surface and pivoted at point $\text{O}$ as shown in the figure, perpendicular to its plane. A point object of mass $m$, moving horizontally with velocity $v$, hits the disc and sticks to it. Find the angular velocity of the system after the hit.

Equipotential surfaces cannot

A capillary tube of radius r is lowered into a liquid of surface tension T and density $\rho$. Given angle of contact = $0^o$

If $Z=\frac{{(\sqrt{3}+i)}^3{(3i+4)}^2}{{(8+6i)}^2}$ , then $|Z|$ is equal to

A liquid is flowing in a streamlined manner through a cylindrical pipe. Along a section containing the axis of the pipe, the flow profile will be

In an ac circuit with voltage V and current I, the power dissipated is

A source is moving in a circle of radius $3m$ with constant angular velocity $\omega =5\text{rad/s}$. If the observer is at a distance $5m$ from the centre of circle, the time interval between maximum and minimum frequency received by the observer is

In a young's double slit interference experiment the fringe pattern is observed on a screen palced at a distance D from the slits. The slits are separaated by a distance d and are illuminated by monochromatic light of wavelength $\lambda$ Find the distance from the central point where the intensity falls to (a) half the maximum, (b) one fourth of the maximum.

Two persons each of mass m are standing at the two extremes of a railroad car of mass M resting on a smooth track ,the given below figure.The person on left jumps to the left with a horizontal speed u with respect to the state of the cat before the jump.Thereafter,the other person jumps to the right,again with the same horizontal speed u with respect to the state of the car before his jump.Find the velocity of the car after both the persons have jumped off.

A kite is moving horizontally at a height of 151.5 m. If the speed of the kite is 10 m/s, how fast is the string being let out, when the kite is 250 m away from the boy flying the kite, if the height of boy is 1.5 m?

A body is projected with a velocity $u$ so that its horizontal range is twice the greatest height attained. The value of its range is
(Take $g=10{\text{m/s}}^2$)

In a pure semiconductor, the number of conduction electrons is $6\times {10}^{19}$ per cubic metre. How many holes are there in a sample of size $1cm\times 1cm\times 1mm?$

A ball of mass $m$ hits the floor with a speed $v$ making an angle of incidence $\theta$ with the normal. The coefficient of restitution is $e$. Find the speed of the reflected ball and the angle of reflection of the ball.

A capillary tube made of glass is dipped into mercury. Then

The equation of an equipotential region (line) is $y=\frac{3x}{4}$, then electric field vector at the origin may be

A straight,long wire carries a current of 20 A.Another wire carrying equal current is placed parallel to it.If the force acting on a length of 10 cm of the second wire is $2.0\times {10}^{-5}N$,what is the separation between them ?

Two solid bodies $X$ and $Y$ having same volume floats in a liquid. It is observed that $X$ floats with $50\%$ of its volume immersed in liquid and $Y$ floats with $25\%$ of its volume above the liquid level. The ratio of density of $X$ to $Y$ is

On heating water, bubbles being formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of radius R and making a circular contact of radius with the bottom of the vessel. If r << R and the surface tension of water is T, the value of r just before bubbles detach is (density of water is ${\rho }_w$).

The closest numerical value to the ratio of permittivity of vaccum and gravitqtional constant is

What happen to the coefficient of friction if the weight of the body is doubled