Home
Class 12
CHEMISTRY
The kinetic energy of an electron accele...

The kinetic energy of an electron accelerated from rest through a potential difference of 5V will be:

A

5 J

B

5 eV

C

5 erg

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To find the kinetic energy of an electron accelerated from rest through a potential difference of 5V, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the relationship between potential difference and kinetic energy**: When an electron is accelerated through a potential difference (V), it gains kinetic energy (KE). The kinetic energy gained by the electron is equal to the work done on it by the electric field, which can be expressed as: \[ KE = eV \] where \( e \) is the charge of the electron (approximately \( 1.6 \times 10^{-19} \) coulombs) and \( V \) is the potential difference in volts. 2. **Substitute the given values**: Here, the potential difference \( V \) is given as 5 volts. Therefore, we can substitute this value into the equation: \[ KE = e \times 5 \] 3. **Convert the kinetic energy to electron volts**: Since the charge of the electron \( e \) is defined as 1 electron volt (1 eV) when it is accelerated through a potential difference of 1 volt, we can directly say: \[ KE = 5 \text{ eV} \] 4. **Final result**: Thus, the kinetic energy of the electron accelerated from rest through a potential difference of 5V is: \[ KE = 5 \text{ eV} \] ### Final Answer: The kinetic energy of an electron accelerated from rest through a potential difference of 5V will be **5 electron volts (5 eV)**.

To find the kinetic energy of an electron accelerated from rest through a potential difference of 5V, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the relationship between potential difference and kinetic energy**: When an electron is accelerated through a potential difference (V), it gains kinetic energy (KE). The kinetic energy gained by the electron is equal to the work done on it by the electric field, which can be expressed as: \[ KE = eV ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise FST test -2|30 Videos
  • SURFACE CHEMISTRY

    RESONANCE ENGLISH|Exercise Section - 5|1 Videos
  • TEST SERIES

    RESONANCE ENGLISH|Exercise CHEMISTRY|50 Videos

Similar Questions

Explore conceptually related problems

The kinetic energy of an electron accelerated from rest through a potential difference of 3V will be:

The kinetic energy of an electron accelerated from rest through a potential difference of 50V will be:

The kinetic energy of an electron accelerated from rest through a potential difference of 4V will be:

The kinetic energy of an electron accelerated from rest through a potential difference of 10V will be:

The kinetic energy of an electron accelerated from rest through a potential difference of 12V will be:

Wavelength of an electron accelerated through a potential difference of 1 volt is

Kinetic energy of an electron accelerated in a potential difference of 100 V is

Kinetic energy of an electron accelerated in a potential difference of 100 V is

A gas of monoatomic hydrogen is bombarded with a stream of electrons that have been accelerated from rest through a potential difference of 12.75 V . In the emission spectrum, one can observe lines of

Calculate the de-Broglie wavelength of an electron beam accelerated through a potential difference of 60 V.