The energy \( E \) of a photon is given by:
\[E = \frac{hc}{\lambda}\]
\[35\]
Substitute \( E = 6 \, \text{eV} \) and \( hc = 1240 \, \text{eV} \text{nm} \):
\[6 = \frac{1240}{\lambda \, (\text{nm})}\]
Rearrange to find \( \lambda \):
\[\lambda = \frac{1240}{6} = 207 \, \text{nm}\]
Choose the correct set of reagents for the following conversion:
A bead of mass \( m \) slides without friction on the wall of a vertical circular hoop of radius \( R \) as shown in figure. The bead moves under the combined action of gravity and a massless spring \( k \) attached to the bottom of the hoop. The equilibrium length of the spring is \( R \). If the bead is released from the top of the hoop with (negligible) zero initial speed, the velocity of the bead, when the length of spring becomes \( R \), would be (spring constant is \( k \), \( g \) is acceleration due to gravity):