Physics

The work done by a gas molecule in an isolated system is given by $W=\alpha {\beta }^2{e}^{-\frac{x^2}{\alpha kT}}$ , where x is the displacement, k is the Boltzmann constant and T is the temperature. a and b are constants. Then the dimensions of b will be:

A current through a wire-depends on time as

i = a₀t + bt²

Where a₀ = 20A/s and b = 8As^-2. Find the charge crossed through a section of the wire in 15s.

In the given, figure, the energy levels of hydrogen atom have been shown along with some transitions marked A, B, C, D and E. The transitions A, B and C respectively represents:

Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in

A cell E₁ of emf 6V and internal resistance $2\Omega$ is connected with another cell E₂ of emf 4V and internal resistance $8\Omega$  (as shown in the figure). The potential difference across points X and Y is:

Given below are two statements:

Statements I : Two photons having equal linear momenta having equal waelengths

Statements II : If the wavelength of photon is decreases, then the momentum and energy of a photon will also decrease.

In the light of the above statements, choose the correct answer from the options given below.

Consider two satellites S₁ and S₂ with periods of revolution 1hr. and 8 hr. respectively revolving around a planet in circular orbits. The ratio of angular velocity of satellite S₁ to the angular velocity of satellites S₂ is:

An electromagnetic wave of frequency 5 GHz, is travelling in a medium whose relative electric permittivity and relative magnetic permeability both are 2. Its velocity in the this medium is_____* 10⁷ m/s.

A common transistor ratio set requires 12V (D.C) for its operation. The D.C source is constructed by using a transformer and a rectifier circuit, which are operated at 220V (A.C) on standard domestic A.C, supply. The number of turns of secondary coil are 24, then the number of turns of primary are___________.

An unpolarized light beam is incident on the polarizes of a polarization experiment and the intensity of light beam emerging from the analyzer is measured as 100 Lumens. Now, if the analyzer is rotated around the horizontal axis (direction of light) by 30° in clockwise direction, the intensity of emerging light will be________ Lumens.