In which region of electromagnetic spectrum does the Lyman series of hydrogen atom lie?

Visible

Infrared

Ultraviolet

X-ray

In which region of electromagnetic spectrum does the Lyman series of hydrogen atom lie ?

Visible

Infrared

Ultraviolet

X-ray

Is the following statement true about the Lyman spectral series? Statement Lyman series lies in the ultraviolet region

Statement is true

Statement is false

If the wavelength of the first line of the Balmer series in the hydrogen spectrum is $$\lambda $$, then the wavelength of the first line of the Lyman series is

$$\frac{{27}}{5}\lambda $$

$$\frac{5}{{27}}\lambda $$

$$\frac{{32}}{{27}}\lambda $$

$$\frac{{27}}{{32}}\lambda $$

Consider a conducting loop of radius a and total loop resistance R placed in a region with a magnetic field B thereby enclosing a flux $${\phi _0}$$ . The loop is connected to an electronic circuit as shown, the capacitor being initially uncharged.

If the loop is pulled out of the region of the magnetic field at a constant speed u, the final output voltage V_out is independent of

$${\phi _0}$$

The binding energy of an electron to a proton (i.e., hydrogen atom) is 13.6 eV. The loss of mass in the formation of one atom of hydrogen is _____________

2.42 X 10-35 Kg

3.34 X 10-35 Kg

4.58 X 10-35 Kg

5.19 X 10-35 Kg

A transition has a wavenumber of 2000 cm-1. In what part of the electromagnetic spectrum does this lie?

Radiowave

Electrostatic

Magnetic

Infrared

Absorption has a wavelength of 495 nm. In what part of the electromagnetic spectrum does this lie?

IR waves

Magnetic waves

Electrostatic

Ultraviolet-visible

The figure shows a constant current source charging a capacitor that is initially uncharged.

If the switch is closed at t = 0, which of the following plots depicts correctly the output voltage of the circuit as a function of time?

Consider a set of two stationary point charges q₁ and q₂ as shown in the figure. Which of the following statements is correct?

The electric field at P is independent of q2

The electric flux crossing the closed surface S is independent of q2

The line integral of the electric field $$\overrightarrow {\bf{E}} $$ over the closed contour C depends on q1 and q2

$$\overrightarrow \nabla .\overrightarrow {\bf{E}} = 0$$ everywhere

A rod of length L with uniform charge density $$\lambda $$ per unit length is in the XY-plane and rotating about Z-axis passing through one of its edge with an angularvelocity $$\overrightarrow \omega $$ as shown in the figure below. $$\left( {{\bf{\hat r}},\,\hat \phi ,\,{\bf{\hat z}}} \right)$$ refer to the unit vectors at Q, $$\overrightarrow {\bf{A}} $$ is the vector potential at a distance d from the origin O along Z-axis for d ≪ L and $$\overrightarrow {\bf{J}} $$ is the current density due to the motion of the rod. Which one of the following statements is correct?

$$\overrightarrow {\bf{J}} {\text{ along }}{\bf{\hat r}};\overrightarrow {\bf{A}} {\text{ along }}{\bf{\hat z}};\left| {\overrightarrow {\bf{A}} } \right| \propto \frac{1}{d}$$

$$\overrightarrow {\bf{J}} {\text{ along }}\hat \phi ;\overrightarrow {\bf{A}} {\text{ along }}\hat \phi ;\left| {\overrightarrow {\bf{A}} } \right| \propto \frac{1}{{{d^2}}}$$

$$\overrightarrow {\bf{J}} {\text{ along }}{\bf{\hat r}};\overrightarrow {\bf{A}} {\text{ along }}{\bf{\hat z}};\left| {\overrightarrow {\bf{A}} } \right| \propto \frac{1}{{{d^2}}}$$

$$\overrightarrow {\bf{J}} {\text{ along }}\hat \phi ;\overrightarrow {\bf{A}} {\text{ along }}\hat \phi ;\left| {\overrightarrow {\bf{A}} } \right| \propto \frac{1}{d}$$