If there are $$n$$ capacitors in parallel connected to $$V$$ volt source, then the energy stored is equal to

Capacitance (in $$F$$) of a spherical conductor with radius $$1$$ $$m$$ is

A tuning fork arrangement (pair) produces $$4$$ beats/sec with one fork of frequency $$288$$ $$cps.$$ A little wax is placed on the unknown fork and it then produces $$2$$ beats/sec. The frequency of the unknown fork is

length of a string tied to two rigid supports is $$40$$ $$cm$$. Maximum length (wavelength in $$cm$$) of a stationary wave produced on it is

When temperature increases, the frequency of a tuning fork

Tube $$A$$ has bolt ends open while tube $$B$$ has one end closed, otherwise they are identical. The ratio of fundamental frequency of tube $$A$$ and $$B$$ is

A wave $$y=a$$ $$\sin \left(\omega t-kx\right)$$ on a string meets with another wave producing a node at $$x=0.$$ Then the equation of the unknown wave is

If a current is passed through a spring then the spring will

If an electron and a proton having same momentum enter perpendicular to a magnetic field, then

If in a circular coil $$A$$ of radius $$R,$$ current $$I$$ is flowing and in another coil $$B$$ of radius $$2R$$ a current $$2I$$ is flowing, then the ratio of the magnetic fields $$B_A$$ and $$B_B$$, produced by them will be

The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its

Wires $$1$$ and $$2$$ carrying currents $$i{}_1$$ and $$i{}_2$$ respectively are inclined at an angle $$\theta$$ to each other. What is the force on a small element $$dl$$ of wire $$2$$ at a distance of $$r$$ from wire $$1$$ (as shown in figure) due to the magnetic field of wire $$1$$?

When forces $$F_1,F_2,F_3$$ are acting on a particle of mass $$m$$ such that $$F_2$$ and $$F_3$$ are mutually perpendicular, then the particle remains stationary. If the force $$F_1$$ is now removed then the acceleration of the particle is

A lift is moving down with acceleration $$a.$$ A man in the lift drops a ball inside the lift. The acceleration of the ball as observed by the man in the lift and a man standing stationary on the ground are respectively

One end of a mass-less rope, which passes over a mass-less and friction-less pulley $$P$$ is tied to a hook $$C$$ while the other end is free. Maximum tension that the rope can bear is $$360$$ $$N.$$ With what value of maximum safe acceleration (in $$m{s}^{-2}$$) can a man of $$60$$ $$kg$$ climb on the rope?

Three identical blocks of masses $$m=2$$ $$kg$$ are drawn by a force $$F=10.2$$ $$N$$ with an acceleration of $$0.6$$ $$m{s}^{-2}$$ on a frictionless surface, then what is the tension (in $$N$$) in the string between the blocks $$B$$ and $$C$$?

A light string passing over a smooth light pulley connects two blocks of masses $$m_1$$ and $$m_2$$ (vertically). If the acceleration of the system is $$g/8$$, then the ratio of the masses is

Two forces are such that the sum of their magnitudes is $$18$$ $$N$$ and their resultant is $$12$$ $$N$$ which is perpendicular to the smaller force. Then the magnitudes of the forces are

The inductance between $$A$$ and $$D$$ is

A conducting square loop of side $$L$$ and resistance $$R$$ moves in its plane with a uniform velocity $$v$$ perpendicular to one of its sides. A magnetic induction $$B$$ constant in time and space, pointing perpendicular and into the plane at the loop exists everywhere with half the loop outside the field, as shown in figure. The induced $$emf$$ is