Advertisements
Advertisements
प्रश्न
If the operating potential in an X-ray tube is increased by 1%, by what percentage does the cutoff wavelength decrease?
(Use Planck constant h = 6.63 × 10-34 Js= 4.14 × 10-15 eVs, speed of light c = 3 × 108 m/s.)
Advertisements
उत्तर
Let `lambda` be the cut off wavelength and V be the operating potential in the X-ray tube.
Then, `lambda = (hc)/V`
Here,
h = Planck's constant
c = Speed of light
If the operating voltage is increased by 1%, then the new operating voltage (V') will be given by
`V^' = V + 1/100 xx V`
`V^' = 1.01 "V"`
Cut off wavelength (`lambda^'`) on increasing the operating voltage is given by
`lambda^' = (hc)/(1.01 "V") = lambda/1.01`
`therefore lambda^' - lambda = 0.01/1.01lambda`
Percentage change in the wavelength is given by
`(0.01lambda)/(1.01 xx lambda) xx 100 = 1/1.01`
= 0.9901
=1 (approx.)
APPEARS IN
संबंधित प्रश्न
What role dose infra-red radiation play in maintain the Earth’s warmth
Give a reason for the following:
It is necessary to use satellites for long-distance TV transmission. Why?
Which radiation is used for satellite communication?
What is the range of the wavelength of the following electromagnetic waves?
(a)X-rays,
What is the range of the wavelength of the following electromagnetic waves?
(A) Radio waves.
Give one use of gamma rays.
Frequencies of Kα X-rays of different materials are measured. Which one of the graphs in the figure may represent the relation between the frequency v and the atomic number Z ?
Find the energy, the frequency and the momentum of an X-ray photon of wavelength 0.10 nm.
(Use Planck constant h = 4.14 × 10-15 eVs, speed of light c = 3 × 108 m/s.)
Find the cutoff wavelength for the continuous X-rays coming from an X-ray tube operating at 30 kV.
(Use Planck constant h = 4.14 × 10-15 eVs, speed of light c = 3 × 108 m/s.)
The stopping potential in a photoelectric experiment is linearly related to the inverse of the wavelength (1/λ) of the light falling on the cathode. The potential difference applied across an X-ray tube is linearly related to the inverse of the cutoff wavelength (1/λ) of the X-ray emitted. Show that the slopes of the lines in the two cases are equal and find its value.
(Use Planck constant h = 6.63 × 10-34 Js= 4.14 × 10-15 eVs, speed of light c = 3 × 108 m/s.)
Name the radiation of the electromagnetic spectrum which is used for the following:
For taking photographs of the sky during the night and foggy conditions . Give the frequency range
State two properties of infrared radiations which differ from visible light.
Name the e.m. waves which are suitable for radar systems used in aircraft navigation. Write the range of frequency of these waves.
A car is moving towards a high cliff. The car driver sounds a horn of frequency f. The reflected sound heard by the driver has a frequency 2f. If v be the velocity of sound, then the velocity of the car, in the same velocity units, will be:
An electron beam is accelerated by a potential difference V to hit a metallic target to produce X-rays. It produces continuous as well as characteristic X-rays. If λmin is the smallest possible wavelength of X-ray in the spectrum, the variation of log λmin with log V is correctly represented in:
Microwaves are electromagnetic waves with frequency in the range of.
Why does microwave oven heats up a food item containing water molecules most efficiently?
Which one of the following electromagnetic radiation has the least wavelength?
Choose the correct option related to wavelengths (λ) of different parts of the electromagnetic spectrum.
