Question 298: Dual Nature of Matter and Radiation

Question

Electrons are accelerated through a potential difference of 16 kV . If the potential difference is increased to 64 kV , then de-Broglie wavelength associated with electron will

Accepted Answer

$$\begin{aligned}
&	ext { For an electron accelerated through potential V, }\
&\begin{array}{ll} 
& \lambda \propto \frac{1}{\sqrt{V}} \quad 	ext { i.e. } \frac{\lambda_1}{\lambda_2}=\sqrt{\frac{V_2}{V_1}} \
	herefore & \frac{\lambda_1}{\lambda_2}=\sqrt{\frac{64}{16}}=2 \
	herefore & \lambda_2=\frac{\lambda_1}{2}
\end{array}
\end{aligned}$$

Answer

remain same.

Answer

becomes half.

Answer

becomes four time.

Answer

becomes quarter.

Dual Nature of Matter and Radiation

Electrons are accelerated through a potential difference of 16 kV . If the potential difference is increased to 64 kV , then de-Broglie wavelength associated with electron will

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