Q49 / 51 · JEE Advanced 2023 (Paper 1) · Physics
Match the temperature of a black body given in List- with an appropriate statement in List-, and choose the correct option.
[Given: Wien’s constant as and ]
List- List- The radiation at peak wavelength can lead to emission of photoelectrons from a metal of work function The radiation at peak wavelength is visible to human eye
The radiation at peak emission wavelength will result in the widest central maximum of a single slit diffraction The power emitted per unit area is of that emitted by a blackbody at temperature The radiation at peak emission wavelength can be used to image human bones
Match the temperature of a black body given in List- with an appropriate statement in List-, and choose the correct option.
[Given: Wien’s constant as and ]
| List- | List- | ||
| The radiation at peak wavelength can lead to emission of photoelectrons from a metal of work function | |||
| The radiation at peak wavelength is visible to human eye | |||
| The radiation at peak emission wavelength will result in the widest central maximum of a single slit diffraction | |||
| The power emitted per unit area is of that emitted by a blackbody at temperature | |||
| The radiation at peak emission wavelength can be used to image human bones |
- A
- B
- Correct answerC
- D
Solution
Maximum wavelength for each case:
Now for List-:
For , emission of photoelectrons will take place. Therefore, .
Wavelength range visible to human eye ranges from . Therefore, .
Width of the central maxima is directly proportional to the wavelength of the light used. Therefore, for maximum width, maximum wavelength is required. Hence, .
Power emitted by blackbody is given by,
Therefore, .
For imaging bones -rays are used in the wavelength range of . None of the options in List- matches with it.
Hence, the correct answer is option: 'C'.