Rankers Physics

Uncategorized: Practice Problem & Solution

If $\lambda_m$ denotes the wavelength at which the radiative emission from a black body at a temperature $T \text{ K}$ is maximum, then: (2004)
$\lambda_m$ is independent of $T$
$\lambda_m \propto T$
$\lambda_m \propto T^{-1}$
$\lambda_m \propto T^4$

Solution Explained:

To solve this problem, we apply the core principles of Uncategorized. Understanding the underlying formula is key to arriving at the correct answer below:

According to Wien's displacement law, $\lambda_m T = b = \text{constant}$. Therefore, $\lambda_m \propto T^{-1}$.

Leave a Reply

Your email address will not be published. Required fields are marked *

Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. 44. When a string is divided into three segments of length $l_1$, $l_2$ and $l_3$ the fundamental frequencies of these three segments are $v_1$, $v_2$ and $v_3$ respectively. The original fundamental frequency ($v$) of the string is: (2012 Pre)
2. 9. A conducting circular loop is placed in a uniform magnetic field $0.04 T$ with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at $2 mm/s$. The induced emf in the loop when the radius is $2 cm$ is: (2009)
3. 31. A photosensitive metallic surface has work function, $h\nu_0$ . If photons of energy $2h\nu_0$ fall on this surface, the electrons come out with a maximum velocity of $4 \times 10^6 m/s$ . When the photon energy is increased to $5h\nu_0$ , then maximum velocity of photoelectrons will be: (2005)
4. 40. Who evaluated the mass of electron indirectly with the help of charge: (2000)
5. Steam at $100^\circ\text{C}$ is passed into $20\text{ g}$ of water at $10^\circ\text{C}$. When water acquires a temperature of $80^\circ\text{C}$, the mass of water present will be: [Take specific heat of water $= 1\text{ cal /g }^\circ\text{C}$ and latent heat of steam $= 540\text{ cal g}^{-1}$]: (2014)