Explore topic-wise InterviewSolutions in Current Affairs.

The height y and the distance x along the horizontal plane of a projectile on a certain planet (with no surrounding atmosphere) are given by $y=(8t-5t^2)$ meter and x = 6t meter, where t is in second. The velocity with which the projectile is projected is

A marble block of mass $2kg$ lying on the ice, when given a velocity of $6m/s$ is stopped by friction in $10s$. Then find the value of the coefficient of friction if $g=10m/s^2$.

If the cathode of a photocell is illuminated with a light of increasing frequency, the anode current will start at a frequency of $3\times {10}^{14}Hz$. Now a capacitor of capacitance $1pF$ is connected between the anode and the cathode of this photocell and the cathode is illuminated with light of frequency $7\times {10}^{14}Hz$. Assuming the illumination is long enough, find the approximate number of electrons arriving the anode? ($h=6.63\times {10}^{-34}Js,e=1.6\times {10}^{-19}C)$

When $24.8\text{keV}$ $X-$rays strike a material, the photoelectrons emitted from $K-$ shell are observed to move in a circle of radius $23\text{mm}$ in a magnetic field of $2\times {10}^{-2}\text{T}.$ The binding energy of $K-$shell electrons is

An electric dipole of length $2\text{cm}$ is placed with its axis making an angle of ${30}^{\circ }$ to a uniform electric field ${10}^5\text{N/C}$.If it experiences a torque $10\sqrt{3}\text{Nm}$,then potential energy of the dipole

A spring with no mass attached to it hangs from a rigid support. A mass m is now hung on the lower end to the spring. The mass is supported on a platform so that the spring remains relaxed. The supporting platformis then suddenly removed and the mass begins to oscillate. The lowest position of the mass during the oscillation is 5 cm below the place where it was resting on the platform. What is the angular frequency of oscillation? Take g = 10 $m{s}^{-2}$

An electric dipole is placed at an angle of ${30}^{\circ }$ with an electric field intensity $2\times {10}^5\text{N/C}$. It experiences a torque equal to $4\text{N-m}$. The charge on the dipole, if the dipole length is $2\text{cm}$ is

A body is moving down along an inclined plane of slope ${37}^{\circ }$. The co-efficient of friction between the body and plane varies as $\mu =0.3x$, where $x$ is distance travelled down the plane. The body will have maximum speed at $x$ equal to

$[\sin {37}^{\circ }=3/5\text{and}g=10{\text{m/s}}^2]$

In a $YDSE$, both slits produce equal intensities on the screen. A $100\%$ transparent thin film is placed in front of one of the slits. Now, the intensity on the centre becomes $75\%$ of the previous intensity. The wavelength of light is $6000\dot{\text{A}}$ and refractive index of glass is $1.5$. The minimum thickness of the glass slab is

A super conductig square rigid frame of mass $m$, self inductance $L$ and side $a$ is cooled down (in a magnetic field) to a temperature below the critical temperature. The frame is kept horizontal (parallel to the x-y plane) and constarined to move in the z- direction in a non - uniform but constant magnetic field given by $\overrightarrow{B}=-\alpha x\hat{i}+(\alpha z+B_0)\hat{k}$ and a uniform gravitational field given by accelaration $-g\hat{k}$ as shown in figure. The thickness of the frame is much smaller than $a$. Initially the frame is at rest with its centre conciding with the origin. Now the frame is released at $t=0.$
Maximum magnitude of Z - cordinate of centre of loop during subsquent motion will be

When a potential difference of ${10}^3\text{V}$ is applied between $A$ and $B$, a charge of $0.75\text{mC}$ is stored in the system of capacitors. The value of $C$ is (in $\mu F$)

One mole of an ideal mono atomic gas undergo a thermodynamic cyclic process ABCDA as shown in internal energy $U$ and density $\left(\rho \right)$graph.

The corresponding temperature (T) versus pressure (P)graph is

A charge of $+10\mu C$ and mass of $1gm$ is moving with velocity of ${10}^{6}m/s$ at an angle of ${45}^o$ to $x$ & $y$- axis as shown. It experiences a magnetic force along $-$ve $z$-direction. When it is projected with ${10}^{6}m/s$ along +ve $z$-direction, it experiences a magnetic force of ${10}^{-2}N$ in +ve $x$-direction.
The magnetic field $\overrightarrow{B}$ is

A particle having the same charge as of electron moves in a circular path of radius $0.5\text{cm}$ under the influence of a magnetic field of $0.5\text{T}$. If an electric field of $100\text{V/m}$ makes it to move in a straight path then the mass of the particle is

(Given charge of electron $=1.6\times {10}^{-19}\text{C}$)

A stone is dropped into a river from a bridge 125 m above the water. Another stone is thrown vertically down 1.00s after the first is dropped. The stones strike the water at the same time.

Which of these is the correct velocity time graph of both the stones?

1. 204.84

A sphere is rotating between two rough inclined walls as shown in figure. Coefficient of friciton between each wall and the sphere is $\frac{1}{3}$. If $f_1$ amd $f_2$ are the friction forces at $P$ and $Q$, then $\frac{f_1}{f_2}$ is

Particles each of mass ${}^{\prime }{m}^{\prime }$ are tied by means of strings of equal length as shown in figure. If the system is rotated with constant angular velocity ${}^{\prime }{\omega }^{\prime }$ in horizontal plane, find the tension in the string.
[Given ${}^{\prime }{r}^{\prime }$is the radius of the circle]

A steel rod is having a radius of $10\text{mm}$ and length $1.0\text{m}$. A force of $100\text{kN}$ is used to stretch it along its length. If the Young's modulus of steel is $2\times {10}^{11}{\text{Nm}}^{-2}$, then the strain in the rod will be