Explore topic-wise InterviewSolutions in Current Affairs.

The work done in raising a mass of 15 gm from the ground to a table of 1m height is

If X follows a binomial distribution with parameters n = 8 and $p=\frac{1}{2}$, then $p(|x-4|\le 2)$ is equal to

A block of mass m is attched to two unstretched springs of spring constants $k_1$ and $k_2$ as shown in figure (8-E9). The block is displaced towards right through a distance x and is released. Find the speed of the block as it passes through the mean position shown.

A convex lens has a focal length of 10 cm. Find the location and nature of the image if a point object is placed on the principal axis at a distance of

(a) 9.8 cm

(b) 10.2 cm from the lens.

A spherical balloon of $21\text{cm}$ diameter is to be filled up with $H_2$ at NTP from a cylinder containing the gas having a pressure of $20$ atm at ${27}^{\circ }$C. The cylinder can hold $2.82$ litre of water. The number of balloons that can be filled up is:

The angle between two mirror is ${60}^o$ and is kept fixed. A ray is incident on one mirror at an angle i as shown in figure. The angle i is slowly increased from $0^o$ to ${90}^o$. The net deviation suffered by the ray after two reflections is D. Which of the following plots for magnitude of ‘D’ vs ‘i’ is correct.

The trajectory of a projectile in a vertical plane is: $y=ax-b{x}^2$,
where $a$ and $b$ are constants and $x$ and $y$ are respectively the horizontal and vertical distances of the projectile from the point of projection. The maximum height attained is

A stone fallas from a cliff and travels 24.5 m in the last second before it reaches the ground at the foot of the cliff.find the height of the cliff?

Errors in sum and difference? A small explanation

the volumes of two bodies are measured to be V1=10.2+/- 0.02

V2= 6.2+/-0.01..calculate the sum and difference in volumes with error differences.

If the attraction force between two bodies separated by R is F, then find the force between them at distance (R+d).

A small block of mass $1\text{kg}$ is placed over a plank of mass $2\text{kg}$. The length of the plank is $2\text{m}$. Coefficient of friction between the block and the plank is $0.5$ and the ground over which plank is placed is smooth. A constant force $F=30\text{N}$ is applied on the plank in horizontal direction. The time after which the block will separate from the plank is $(g=10{\text{m/s}}^2)$ approximately

The Bond dissociation Energies of $H_2$, $C{l}_2$, and $HCl$ are $104$, $58$ and $103$ $Kcal$ respectively. The Enthalpy of formation of $HCl$ of $HCl$ gas will be

Two guitar strings A and B are slightly out of tune and produce beats of frequency 6Hz.The tension of the string found to decrease to 4 Hz. What is the original frequency of B if the frequency of a is 430Hz?

If a man of mass M jumps to the ground from a height h and his centre of mass moves a distance of x during the impact, the average force acting on him (assuming his retardation to be constant during his impact with the ground) is

An object of specific gravity $\rho$ is hung from a thin steel wire. The fundamental frequency for transverse standing waves in the wire is 300 Hz. The object is immersed in water so that one half of its volume is submerged. The new fundamental frequency in Hz is

A magnet of length 12 cm has pole strength 10 units. The magnet is placed at an angle ${30}^{\circ }$ with the direction of a uniform field of strength 0.5 oersted. The torque acting on the magnet is

Two electric bulbs A and B are rated as 60 W and 100 W. They are connected in parallel to the same source. Then,

A smooth block is released at rest on a ${45}^{\circ }$ incline and then slides a distance d. The time taken by the block to slide equal distances on rough incline is n times as much to slide on smooth incline of same angle of inclination. Then the coefficient of friction is

Find net magnetic field at point P ?

Two identical parallel plates are given charges as shown in figure. If plate area is A & plate seperation is d then heat liberated after closing switch s is.

A swimmer crosses the river along the line making an angle of ${45}^o$ with the direction of flow. Velocity of the river water is 5 m/s. Swimmer takes 12 seconds to cross the river of width 60 m. The velocity of the swimmer with respect to water will be :

A uniform rope having some mass hangs vertically from a rigid support. A transverse wave pulse is produced at the lower end. The speed (v) of the wave pulse varies with height (h) from the lower end as:

The bob of a swinging seconds pendulum (one whose time period is $2s$) has a small speed $v_0$ at its lowest point. Its height from this lowest point, $2.25s$ after passing through it is

A nuclear fission is given below
$A^{240}\to B^{100}+C^{140}+Q\left(\text{energy}\right)$.
Let binding energy per nucleon of nucleus $A,B$ and $C$ is $7.6\text{MeV},8.1\text{MeV}$ and $8.1\text{MeV}$ respectively. Value of $Q$ is : (Approximately)

A particle is projected at time $t$ = 0 from a point $P$ with a speed $v_0$ at an angle of ${45}^{\circ }$ to the horizontal. Find the magnitude and the direction of the angular momentum of the particle about the point $P$ at time $t$ = $\frac{v_0}{g}$

Two metal strips that constitute a thermostat must necessarily differ in their

The ratio of lengths of two rods A and B of same material is 1 : 2 and the ratio of their radii is 2 : 1, then the ratio of modulus of rigidity of A and B will be

A closed organ pipe of length L and an open organ pipe contain gases of densities $p_1$ and $p_2$ respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open organ pipe is

(a) State whether the current is a scalar or vector? What does the direction of current convey?
(b) State whether the potential is a scalar or vector? What does the positive and negative sign of potential convey?

Two long current carrying thin wires, both with current $I$, are held by insulating threads of length $L$ and are in equilibrium as shown in the figure, with threads making an angle ${}^{\prime }{\theta }^{\prime }$ with the vertical. If wires have mass $\lambda$ per unit length then the value of $I$ is
($g$ = gravitational acceleration)

In the given figure for a projectile

Which of the following option is correct?

An iron rod of length $50cm$ is joined at an end to an aluminium rod of length $100cm$. All measurements are made at ${20}^{\circ }C$. Find the length of the composite system at ${100}^{\circ }C$ and its average coefficient of linear expansion. The coefficient of linear expansion of iron and aluminium are $12\times {10}^{-6}{/}^{\circ }C$ and $24\times {10}^{-6}{/}^{\circ }C$ respectively.

A body of mass $m$ moving with a speed $v$ suffers an inelastic collision with another body of mass $M=2m$ at rest. The speed of the composite body will be

The angle of contact between glass and mercury is

In an aluminum $\left(Al\right)$ bar of square cross section, a square hole is drilled and is filled with iron $\left(Fe\right)$ as shown in the figure. The electrical resistivities of Al and Fe are $2.7\times {10}^{-8}\Omega -m$ and $1.0\times {10}^{-7}\Omega -m$, respectively. The electrical resistance between the two faces $P$ and $Q$ of the composite bar is

The coefficient of apparent expansion of a liquid when determined using two different vessels A and B are ${\gamma }_1$ and ${\gamma }_2$ respectively. If the coefficient of linear expansion of vessel A is $\alpha$, the coefficient of linear expansion of vessel B is

A string of negligible mass going over a clamped pulley of mass $m$ supports a block of mass $M$ as shown in the figure. The force on the pulley by the clamp is

Find the wavelength of the radiation emitted by hydrogen in the transitions.

(a) n = 3 to n - 2

(b) n = 5 to n = 4 and

(c) n = 10 to n = 9.