Questions Related to physics

Multiple choice detection and recording of x-ray images option c: imaging physics

A photon collides with an electron and gets scattered through an angle of $90^{0}$. The electron recoils and moves in another direction. The compton wavelength is $(h=6.62 \times 10^{-34}Js.)$

  1. $0.121\times 10^{-11}m$
  2. $0.486\times 10^{-11}m$
  3. $2.4\times 10^{-11}m$
  4. $0.243\times 10^{-11}m$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Compton wavalength $=\dfrac{h}{m _{e}c}(1-cos\theta )$


                             $=\dfrac{6.62\times 10^{-34}}{9.1\times 10^{-31}\times 3\times 10^{8}}(1-cos\ 90^{0})$

                             $=0.243\times 10^{-11}(1-0)\ ( \because cos\ 90^{0}=0)$
                            $=0.243\times 10^{-11}m$
So, the answer is option (D).

Multiple choice detection and recording of x-ray images option c: imaging physics

The wavelength of scattered radiation when it undergoes compton scattering at an angle of $60^o$ by graphite is $2.54 \times 10^{-11}$m, then the wavelength of incident photon is

  1. $4.2\times 10^{-11}m$
  2. $1.12\times 10^{-11}m$
  3. $1.21\times 10^{-11}m$
  4. $2.42\times 10^{-11}m$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Compton formula
$\Delta \lambda = \lambda _f-\lambda _i= \dfrac{h}{m _ec}  (1- cos  \theta )$


$2.54\times 10^{-11}-\lambda _1= \dfrac{6.63\times 10^{-34}}{9.1\times 10^{-31}\times 3\times 10^8}  \big(1- cos  60^{\circ }\big)$

$\lambda _i= 2.54\times 10^{-11}
- \dfrac{6.63\times 10^{-34}}{9.1\times 10^{-31}\times 3\times 10^8}  \big(1- 1/2 \big) \ \ \ \  \big(\because cos  60^{\circ} =  1/2\big)$

$= 2.54\times 10^{-11}-0.12\times 10^{-11}$
$=2.42\times 10^{-11}m$
So, the answer is option (D).

Multiple choice detection and recording of x-ray images option c: imaging physics

In a Compton effect experiment, the wavelength of incident photons is 3$A^{0}$.If the incident radiation is scattered through $60^{0}$ , the wavelength of scattered radiation is nearly (given$h=6.62\times 10^{-34}Js$, $m _{o} = 9.1 \times 0^{-31}$ kg, $c = 3 \times 10^{8}$ m/s)

  1. 3.024 $A^{0}$
  2. 3.012 $A^{0}$
  3. 3.048$A^{0}$
  4. 2.988 $A^{0}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

${\lambda }'-\lambda =\dfrac{h}{m _{e}c}(1-cos\theta)$


${\lambda }'=\lambda +\dfrac{6.62\times 10^{-34}}{9.1\times 10^{-31}\times 3\times 10^{8}}(1-cos60^{\bullet})$

$=\lambda +0.0121\ A^{0}$
$=3A^{\bullet}+0.0121$
$=3.012\ A^{\bullet }$
So, the answer is option (B).

Multiple choice detection and recording of x-ray images option c: imaging physics

The maximum increase in X-ray wavelength that can occur during Compton scattering is

  1. $5.84\times 10^{-12}m$
  2. $6.84\times 10^{-3}m$
  3. $7.84\times 10^{-10}m$
  4. $4.84\times 10^{-12}m$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

We know compton formula is
$\Delta\lambda =\ \lambda _{f}-\lambda _{i}   =  \dfrac{h}{m _{e}C}  (1-cos\theta )$

For maximum increase $ cos\theta =   -1$

so $\Delta \lambda =  \dfrac{h}{m _{e}C} (1-(-1))$

$=  \dfrac{2h}{m _{e}C}$

$=  \dfrac{2\times 6.63\times 10^{-34}}{9.1\times 10^{-31}\times 3\times 10^{8}}$

$=  0.484 \times 10^{-11}m$
$=  4.84 \times 10^{-12}m$

So, the answer is option (D).

Multiple choice detection and recording of x-ray images option c: imaging physics

X-rays of 1.0$A^{0}$ are scattered from a carbon block. The wavelength of the scattered beam in a direction making $90^{0}$ with the incident beam is

  1. 1.024$A^{0}$
  2. 2.024$A^{0}$
  3. 3.024$A^{0}$
  4. 4.024$A^{0}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Compton effect formula

$\Delta \lambda = \lambda _{f}-\lambda _{i} = \dfrac{h}{m _{e}C}   (1-cos \theta)$

$\lambda _{f}-1.0 A^{\circ} = \dfrac{6.63\times 10^{-34}}{9.1\times 10^{-31}\times 3\times 10^{8}}\ (1-cos  90^{\circ})$

$\lambda _{f} = 1  A^{\circ}+ \dfrac{6.63\times 10^{-34}}{9.1\times 10^{-31}\times 3\times 10^{8}}  (1-0)$             $(\because  cos  90^{\circ}=0)$

$= 1  A^{\circ}+  0.24 \times 10^{-11}m$
$= 1  A^{\circ}+  0.024  A^{\circ}   (\because  10^{-10}m= 1  A^{\circ})$
$= 1.024  A^{\circ}$

So, the answer is option (A).

Multiple choice detection and recording of x-ray images option c: imaging physics

A photon recoils back after striking a free electron. Then the value of compton shift is

  1. 0.0242 $A^{0}$
  2. 0.0484 $A^{0}$
  3. 0.0121 $A^{0}$
  4. 0.242 $A^{0}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$\lambda -\lambda \ '=\dfrac{h}{m _{e}c}(1-cos\theta )$


$\Delta \lambda =\dfrac{6.62\times 10^{-34}}{9.1\times 10^{-31}\times 3\times 10^{8}}(1-cos180)$

$=0.0484\ A^{0}$
So, the answer is option (B).

Multiple choice detection and recording of x-ray images option c: imaging physics

Which waves are used in sonography?

  1. Microwaves

  2. Infrared rays

  3. Radio rays

  4. Ultrasonic rays

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
Ultrasound imaging is also termed as the ultrasound scanning or sonography, This technique uses the small probe along with the gel placed on the skin. The sound waves of very high frequency (Ultrasonic sound) are sent into the body via gel using the probes to obtain the images of body parts.

Therefore, the sonography or ultrasonic scanning uses the Ultrasonic rays.
Multiple choice detection and recording of x-ray images option c: imaging physics

When X-rays or gamma rays interact with matter, there is a decrease in the energy of the X-rays or gamma rays. This is known as the ____________.

  1. photoelectric effect

  2. Raman effect

  3. Compton effect

  4. none of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Compton effect

When a light wave (Photon) is incident on an electron, there is a decrease in energy of a photon as a part of its initial energy is transferred to the electron which is scattered. This effect is called Compton effect.


Multiple choice detection and recording of x-ray images option c: imaging physics

The $X-$ray beam emerging from an $X-$ray tube

  1. is monochromatic

  2. contains all wavelength smaller than a certain maximum wavelength

  3. contains all wave length larger than a certain minimum wavelength

  4. contains all wave length lying between a minimum and a maximum wavelength

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

X-ray tubes produce a continuous spectrum of wavelengths starting from a minimum wavelength (lambda_min) determined by the accelerating voltage, extending to all larger wavelengths.

Multiple choice speed of sound in gas speed of a travelling wave oscillation and waves waves physics

Two open pipes of length $20$ cm and $20.1$ cm produces $10$ beats/s. The velocity of sound in the gas is 

  1. $804 ms^{-1}$
  2. $402 ms^{-1}$
  3. $420 ms^{-1}$
  4. $330 ms^{-1}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For an open pipe, frequency f = v / (2L). Beats = f1 - f2 = (v/2) * (1/L1 - 1/L2). Substituting L1 = 0.2m, L2 = 0.201m, and beats = 10, we get 10 = (v/2) * (1/0.2 - 1/0.201) = (v/2) * (0.001 / 0.0402). Solving for v gives 402 m/s.