Explore topic-wise InterviewSolutions in Current Affairs.

The frequency of tuning forks $A$ and $B$ are respectively $3\%$ more and $2\%$ less than the frequency of the tuning fork $C$. When $A$ and $B$ are simultaneously excited then $5$ beats per second are produced. The frequency of the tuning fork $A$ is

The acceleration of the particle moving in $x-$direction with an initial velocity $8\text{m/s}$ is $3{\text{m/s}}^2$. Find its velocity at $t=2s$.

Figure shows the four different ways in which a constant force P may be applied to a block of mass M, kept on a rough surface. The situation in which the block can be moved with least effort is

A 2m wide truck is moving with a uniform speed $v_0=8m/s$ along a straight horizontal road. A pedestrian starts to cross the road with a uniform speed v when the truck is 4 m away from him. The minimum value of v so that he can cross the road safely is (in m/s )

An earthen pitcher loses $1\text{gm}$ of water per minute due to evaporation. If the water equivalent of pitcher is $0.5\text{kg}$ and pitcher contains $9.5\text{kg}$ of water. Calculate the time required for the water in pitcher to cool to ${28}^{\circ }\text{C}$ from original temperature of ${30}^{\circ }\text{C}$. Neglect radiation effects. Latent heat of vaporization in this range of temperature is $580\text{Cal/gm}$ and specific heat of water is $1{\text{Cal/gm}}^{\circ }\text{C}$.

From a height of $5m$ a ball is thrown vertically downwards with an initial velocity of $10m/s$ towards a hard horizontal floor. If it bounces to the same height, then the coefficient of restitution is $(g=10m{s}^{-2})$

A zener diode, having breakdown voltage equal to 15V, is used in a voltage regulator circuit shown in figure.

The current through the diode is

Magnitude of resultant of $3$ vectors $\overrightarrow{OA},\overrightarrow{OB}$, and $\overrightarrow{OC}$ as shown below is

Statement-I : If two identical waves superimpose to form a stationary wave by free surface reflection, then antinode forms at surface of reflection.

Statement-II : Antinode of pressure wave forms at open end of closed pipe in stationary wave.

The ratio of angular speed of a second-hand to the hour-hand of a watch is

A horizontal ray of light passes through a prism of $\mu =1.5$ whose apex angle is $4^{\circ }$ and then strikes a vertical mirror M as shown. For the ray to become horizontal, either just after reflection from the mirror or finally, the mirror must be rotated through an angle of

The magnetic susceptibility of a paramagnetic material at -73 ${}^{\circ }$C is 0.0075 and its value at - 173 ${}^{\circ }$ C will be

An ice skier is sliding from a point $\text{A}$ as shown in the figure below. If the slider starts from rest and acceleration due to gravity is $10\text{m}/s^2$, then what is the velocity of the skier at point $\text{B}$.

If an electric heater consumes electricity at the rate of $500W$ and the potential difference between the two terminals of the electric circuit is $250V$, calculate the electric current passing through the heater and resistance of it respectively.

A cylindrical pipe of length $L$ has two layers of material of conductivity $k_1$ and $k_2$ (see figure). If the innermost surface of the cylinder is maintained at $T_1$ and the outermost surface is at $T_2(<T_1)$, calculate the radial rate of heat flow.

A boat which has a speed of $5m{s}^{-1}$ in still water crosses the river of width $25\text{m}$ in $10$ seconds. The boat is heading at an angle of $\alpha$ with downstream, where $\alpha$ is equal to

The fundamental frequency in an open organ pipe is two times the third overtone of a closed organ pipe. Find ratio of $l_1$ and $l_2$ where $l_1$ and $l_2$ are respectively the lengths of open and closed organ pipe.

A car takes 4hrs to travel from Bangalore to Chennai whereas flight takes only 30min. If the distance from Bangalore to Chennai by road is 400km and by air is 150km. Calculate the average speed and average velocity of flight and car.
Choose the correct option. Answer is given in the following order (in km/hr): Average speed of Flight, Average velocity of flight, Average speed of car, Average velocity of car.

Two racing cars of masses $m_1$ and $m_2$ are moving in circles of radii $r_1$ and $r_2$ respectively. Their speeds are such that each makes a complete circle in the same time $t$. The ratio of the angular speeds of the first to the second car is

A rectangular plate of mass $m=3\text{kg}$ having sides $a=4\text{m}$ and $b=2\text{m}$ is placed on XY plane as shown in figure. Find the moment of inertia of rectangular plate about an axis passing through the point ${}^{\prime }{O}^{\prime }$ and perpendicular to its plane.

A $10\text{kg}$ ball attached at the end of a rigid massless rod of length $1\text{m}$ rotates at a constant speed in a horizontal circle of radius $0.5\text{m}$ and with a period of $1.57\text{s}$, as shown in the figure. The force exerted by the rod on the ball is $(g=10{\text{ms}}^{-2})$

A particle is in linear simple harmonic motion between two points $P$ and $Q$ represented by $x=A\text{sin}(\omega t+\varphi )$. Find the initial phase of the particle when it starts from its extreme position.

If speed of sound in gas is $k$ times the RMS speed of gas molecules, then $k$ is equal to

The work function of a metal is 2.5$\times {10}^{-19}$ J. (a) Find the threshold frequency for photoelectric emission. (b) If the metal is exposed to a light beam of frequency $6.0\times {10}^{14}$ Hz, what will be the stopping potential ?

an air bubble inside a rectangular glass slab ( cuboid)appear at 2 cm from one side and 3 cm from other opposite side if the refractive index of Glass is 1. 5 what is the actual width of the glass slab

A block of mass $m$ is on an inclined plane of angle $\theta$. The coefficient of friction between the block and the plane is $\mu$ and $\tan \theta >\mu$. The block is held stationary by applying a force $P$ parallel to the plane. The direction of force pointing up the plane is taken to be positive. As $P$ is varied from $P_1=mg(\sin \theta -\mu \cos \theta )$ to $P_2=mg(\sin \theta +\mu \cos \theta )$, the frictional force $f$ versus $P$ graph will look like

Find electric potential at a point in a space due to a point charge

The acceleration of a particle is defined by the relation, $a=-4x(-1+\frac{1}{4}{x}^2)$ , where $x$ is displacement along $x-$ axis. All the quantities are in $SI$ units. If velocity of the particle $\left(v\right)=17\text{m/s}$ when $x=0$, then the velocity of the particle when $x=4\text{m}$ is

Derive an expression for cofficient inductance of solenoid

When a body is thrown vertically upwards from bottom of the building, its potential energy changes with height as
(take the bottom of the building as reference point)

A force $\overrightarrow{F}=\alpha \hat{i}+3\hat{j}+6\hat{k}$ is acting at a point $\overrightarrow{r}=2\hat{i}-6\hat{j}-12\hat{k}$. Find the value of $\alpha$ for which angular momentum about origin is conserved.

The change in internal energy of two moles of a monoatomic gas, when the temperature increases by ${50}^{\circ }\text{C}$ is
[Take $R=2{\text{cal mol}}^{-1}{}^{\circ }{\text{C}}^{-1}$]

A car is travelling on a highway at a speed of 25 m/s along the x-axis. A passenger in a car throws a ball at an angle ${37}^{\circ }$ with horizontal in a plane perpendicular the motion of the car. The ball is projected with a speed of 10 m/s relative to the car. What may be the initial velocity of the ball in unit vector notation?

An inverted tube barometer is kept in a lift moving vertical upward with an acceleration 'a'. The density of mercury is $\rho$ and acceleration due to gravity is g. If the atmospheric pressure be $P_o$ then

A lump of 0.10 kg of ice at -10°C is put in 0.15 kg of water at 20°C.How much water and ice will be found in the mixture when it has reached thermal equilibrium? Specific heat capacity of ice=0.50 kcal/kg and its latent heat of melting=80 kcal/kg

When light travels through glass, the refractive index of glass is found to vary with wavelength as μ = A + B/λ². Using the principle of homogeneity of dimensions, find the dimensions and SI units of the constants A and B.