Question

The wavelength corresponding to light with a frequency of 4 x 10^14 Hz is 1.33m 0.075 mm 7500 nm 750 nm

Answer 1

The wavelength corresponding to light with a frequency of 4 x 10^14 Hz is found using the formula λ = c/f and equals 750 nm, falling within the visible spectrum.

Step-by-step explanation:

The wavelength corresponding to a frequency of 4 x 10^14 Hz can be calculated using the equation c = λf, where c is the speed of light (3.0 × 10^8 m/s), λ is the wavelength in meters, and f is the frequency in hertz (Hz). To find the wavelength, we rearrange the equation to λ = c/f. Plugging in the values, we get λ = (3.0 × 10^8 m/s) / (4 x 10^14 Hz) which equals 750 nm. Therefore, the wavelength corresponding to light with a frequency of 4 x 10^14 Hz is 750 nm, which falls within the range of visible light wavelengths (400 nm to 750 nm).

Answer 2

Wavelength of light is 750 nm.

Step-by-step explanation:

It is given that,

Frequency of light,
`\\u=4* 10^(14)\ Hz`

The relationship between the wavelength and the frequency of light is given by :

`c=\\u* \lambda`

Where

c = speed of light

`\\u` = frequency of light

`\lambda` = wavelength of light

`\lambda=(c)/(\\u)`

`\lambda=(3* 10^8\ m/s)/(4* 10^(14)\ Hz)`

`\lambda=7.5* 10^(-7)\ m`

`\lambda=750\ nm`

Hence, the correct option is (d) "750 nm".