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

Two monochromatic waves having frequencies $$\omega $$ and $$\omega + \Delta \omega \left( {\Delta \omega \ll \omega } \right)$$ and corresponding wavelengths $$\lambda $$ and $$\lambda - \Delta \lambda \left( {\Delta \lambda \ll \lambda } \right)$$ of same polarization, travelling along X-axis are superimposed on each other. The phase velocity and group velocity of the resultant wave are respectively given by

A

$$\frac{{\omega \lambda }}{{2\pi }},\,\frac{{\Delta \omega {\lambda ^2}}}{{2\pi \Delta \lambda }}$$

B

$$\omega \lambda ,\,\frac{{\Delta \omega {\lambda ^2}}}{{\Delta \lambda }}$$

C

$$\frac{{\omega \Delta \lambda }}{{2\pi }},\,\frac{{\Delta \omega \Delta \lambda }}{{2\pi }}$$

D

$$\omega \Delta \lambda ,\,\omega \Delta \lambda $$

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

A

Statement is true

B

Statement is false

RH রিডবার্গ ধ্রুবক হলে, হাইড্রোজেন বর্ণালির বামার সিরিজের ২য় লাইনের তরঙ্গদৈর্ঘ্য কত হবে? ( If RH is the Rydberg constant, what will be the wavelength of the 2nd line in the Balmer series of hydrogen spectrum?)

A

36RH5

B

163RH

C

3RH16

D

536RH

What is/are true about ridge regression?
1. When lambda is 0, model works like linear regression model
2. When lambda is 0, model doesn't work like linear regression model
3. When lambda goes to infinity, we get very, very small coefficients approaching
04. When lambda goes to infinity, we get very, very large coefficients approaching infinity.

A

1 and 3

B

1 and 4

C

2 and 3

D

2 and 4

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

A

Visible

B

Infrared

C

Ultraviolet

D

X-ray

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

A

Visible

B

Infrared

C

Ultraviolet

D

X-ray

Which of the following will be the longest wavelength in Balmer series of hydrogen atom?

A

2300 Å

B

1215 Å

C

4800 Å

D

6557 Å

It is very important to study lambda biology as lambda phages are used for cloning purposes. Which of the statement is true for lambda phage?

A

It is an example of temperate phage

B

The fate of the phage is decided before it infects the cell

C

The lysis fate is that where the phage inserts its genome into the bacterial genome and the replication goes on

D

The lysogenic fate is that where the phage infects the cell and lysis is carried out

X-rays were produced using cobalt (Z = 27) as target. It was observed that the X-ray spectrum contained a strong K_α line of wavelength 0.1785 nm an a weak K_α line of wavelength 0.1930 nm. Then the weak K_α line is due to an impurity whose atomic number is

A

25

B

26

C

28

D

30

Who discovered the Balmer formula for a series of hydrogen emission lines?

A

Russell-Saunders

B

Johannes Rydberg

C

Johann Balmer

D

Walter Ritz