Physics

A free electron of 2.6 eV energy collides with a H⁺ ion. This results in the formation of a hydrogen atom in the first excited state and a photon is released. Find the frequency of the emitted photon. (h = 6.6 * 10^-34 Js)

The temperature of an ideal gas in 3-dimensions is 300K. The corresponding de-Broglie wavelength of the electron approximately at 300 K, is:

[m_e = mass of electron = 9 * 10^-31kg

h = Planck constant = 6.6 * 10^-34 Js

k_B = Boltzmann constant = 1.38 * 10^-23 JK^-1]

Statement-I: If three forces ${\overrightarrow{F}}_1,{\overrightarrow{F}}_{2}and{\overrightarrow{F}}_3$  are represented by three sides of triangle and, ${\overrightarrow{F}}_1+{\overrightarrow{F}}_2=-{\overrightarrow{F}}_3,$  then these three forces are concurrent forces and satisfy the condition for equilibrium.

Statement-II: A triangle made up of three forces ${\overrightarrow{F}}_1,{\overrightarrow{F}}_{2}and{\overrightarrow{F}}_3$  as its sides taken in the same order, satisfy the condition for translator equilibrium.

In the light of the above statements, choose the most appropriate answer from the options given below:

A mixture of hydrogen and oxygen has volume 500 cm³, temperature 300K, pressure 400 kPa and mass 0.76g. The ratio of masses of oxygen to hydrogen will be:-

The magnetic field vector of an electromagnetic wave is given by B = B₀ = $\frac{\widehat{i}+\widehat{j}}{\sqrt[]{2}}cos\left(kz-\omega t\right);$  where $\widehat{i},\widehat{j}$  represents unit vector along x and y-axis respectively. At t = 0 s, two electric charges q1 of 4π coulomb and q2 and 2p coulomb located at $\left(0,0,\frac{\pi }{k}\right)and\left(0,0,\frac{3\pi }{k}\right),$  respectively, have the same velocity of 0.5 c   $\widehat{i}$ (where c is the velocity of light). The ratio of the force acting on charge q1 to q2 is:

Four particle each of mass M, move along a circle of radius R under the action of their mutual gravitational attraction as shown in figure. The speed of each particle is:

If velocity [V], time [T] and force [F] are chosen as the base quantities, the dimensions of the mass will be:

Following plots show Magnetization (M) vs Magnetising field (H) and Magnetic susceptibility $\left(\chi \right)$  vs temperature (T) graph:

Which of the following combination will be represented by a diamagnetic material?

Four identical hollow cylindrical columns of mild steel support a big structure of mass 50 * 10³ kg. The inner and outer radii of each column are 50cm and 100cm respectively. Assuming uniform local distribution, calculate the compression strain of each column.

[Use Y = 2.0 * 10¹¹ Pa, g = 9.8 m/s²]

If VA and VB are the input voltages (either 5V or 0V) and Vo is the output voltage then the two gates represented in the following circuit (A) and (B) are:-