Physics

The angular frequency of alternating current in a L-C- R circuit is 100 rad/s. The components connected are shown in the figure. Find the value of inductance of the coil and capacity of condenser.

An α a particle and a proton are accelerated from rest by a potential difference of 220V. After this, their de Broglie wavelengths are  ${\lambda }_{\alpha }and{\lambda }_P$ respectively. The ratio $\frac{{\lambda }_P}{{\lambda }_{\alpha }}is:$

A solid sphere of radius R gravitationally attracts a particle placed at 3R form its centre with a force F₁,. Now a spherical cavity of radius $\left(\frac{R}{2}\right)$  is made in the sphere (as shown in figure) and the force becomes F₂. The value of F₁: F₂ is:

The peak electric field produced by the radiation coming from the 8W bulb at a distance of 10m is $\frac{x}{10}\sqrt[]{\frac{{\mu }_{0}c}{\pi }}\frac{V}{m}.$ The efficiency of the bulb is 10% and it is a point source. The value of x is…….

Two identical conducting spheres with negligible volume have 2.1 nC and 0.1 nC charges, respectively. They are brought into contact and then separated by a distance of 0.5m. The electrostatic force acting between the spheres is …………….* 10^-9N.

$\left[Given:4\pi {\epsilon }_0=\frac{1}{9*10^9}SIunit\right]$

If $\overrightarrow{P}*\overrightarrow{Q}=\overrightarrow{Q}*\overrightarrow{P},$ the angle between $\overrightarrow{P}and\overrightarrow{Q}is\theta \left(0°<\theta <360°\right).$ The value of 'θ' will be………

The initial velocity vi required to project a body vertically upward from the surface of the earth to reach a height of 10R, where R is the radius of the earth, may be described in terms of escape velocity v_e such that $v_i=\sqrt[]{\frac{x}{y}}*v_e.$ The value of x will be………

The wavelength of an X-ray beam is $10\stackrel{o}{A}.$ The mass of a fictitious particle having the same energy as that of the X-ray photons is $\frac{x}{3}hkg.$ The value of x is………. (h = Planck's constant)

The percentage increase in the speed of transverse waves produced in a  stretched string if the tension is increased by 4%, will be………….%.

A current of 6 A enters one corner P of an equilateral triangle PQR having 3 wires of resistance $2\Omega$  each and leaves by the corner R. The currents i₁ in ampere is………