Questions Related to physics

Multiple choice lorentz transformation and muon experiment option a: relativity physics

Box $1$ and box $2$ are identical when at rest relative to each other. An astronaut floating in intergalactic space sees the two boxes fly by from the astronaut's left to his right. Box $1$ flies by at $(0.8)c(80$% of the speed of light), and box $2$ flies by at $(0.9)c(90$% of the speed of light).
Because of relativistic effects, what is true from the point of view of the astronaut?

  1. Box $2$ is longer and taller than box $1$

  2. Box $2$ is longer and not as tall asbox $1$

  3. Box $1$ is longer and taller than box $2$

  4. Box $1$ is longer and not as tall as box $2$

  5. Box $2$ is shorter and the same height as box $1$

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation
According to relativity, the ;ength of moving object parallel to the direction of motion gets shortened but the length perpendicular to the motion remains the same.
Let the rest length (parallel to the motion) and rest height of both the boxes be $L _o$ and $h _o$ respectively.
Box 1 :     $v = 0.8c$
$\therefore$ Length of box 1 observed by the astronaut        $L' _1 = L _o \sqrt{1- v^2/c^2} = L _o \sqrt{1- (0.8)^2}  =0.6L _o$

Box 2 :     $v = 0.9c$
$\therefore$ Length of box 2 observed by the astronaut        $L' _2 = L _o \sqrt{1- v^2/c^2} = L _o \sqrt{1- (0.9)^2}  =0.44L _o$

$\implies$    $L _1' > L _2'$    and  $h' _1 = h' _2 = h _o$
Hence option E is correct.

Multiple choice resonance oscillations physics

A resonance tube is resonated with tuning fork of frequency 256 Hz. If the length of first and second resonating air columns are 32 cm and 100 cm, then end correction will be 

  1. $1 cm$

  2. $2 cm$

  3. $4 cm$

  4. $6 cm$

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

For a resonance tube, the resonance condition is L + e = (2n-1) * lambda / 4. Using the first two resonances, L1 + e = lambda / 4 and L2 + e = 3 * lambda / 4, we find 2 * (L2 - L1) = lambda. Substituting the values, lambda = 2 * (100 - 32) = 136 cm, so L1 + e = 136 / 4 = 34 cm; thus, e = 34 - 32 = 2 cm.

Multiple choice resonance oscillations physics

If $\omega _{0}$ is natural frequency of damped forced oscillation and $p$ that of driving force, then for amplitude resonance

  1. $p _{r}= \omega _{0}$

  2. $p _{r}< \omega _{0}$

  3. $p _{r}> \omega _{0}$

  4. <span>$p _{r}&gt; = \omega _{0}$</span>

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

Amplitude resonance occurs when the driving frequency p equals the natural frequency omega_0 in an undamped system, or slightly below it in a damped system. However, in standard textbook contexts for forced oscillations, p = omega_0 is the condition for amplitude resonance.

Multiple choice resonance oscillations physics

Which of the following is an example of mechanical resonance?

  1. A child on a swing.

  2. A pendulum.

  3. A tuning fork.

  4. Nuclear magnetic resonance

Reveal answer Fill a bubble to check yourself
A,B Correct answer
Explanation

$Answer:-$ A,B

Mechanical resonance is the tendency of a mechanical system to respond at greater amplitude when the frequency of its oscillations matches the system's natural frequency of vibration (its resonance frequency or resonant frequency) than it does at other frequencies. It may cause violent swaying motions and even catastrophic failure in improperly constructed structures including bridges, buildings and airplanes—a phenomenon known as resonance disaster.

Various examples of mechanical resonance include:-

  • Most clocls keep time by mechanical resonance in a balance wheel, pendulum, or quartz crystal.
  • The resonance of the basilar membranein the ear.
  • Making a child's swing swing higher by pushing it at each swing.
  • A wineglass breaking when someone sings a loud note at exactly the right pitch.

Multiple choice resonance oscillations physics

 A mechanical system is oscillating at resonance with a constant amplitude. Which one of the following statements is not correct?

  1. The applied force prevents the amplitude from becoming too large.

  2. The frequency of the applied force is the same as the natural frequency of oscillation of the system.

  3. The total energy of the system is constant.

  4. The amplitude of oscillations depends on the amount of damping.

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

The applied force prevents the amplitude from becoming too large.


Option A is correct.

Multiple choice resonance oscillations physics

Which of the following is an example of acoustic resonance?

  1. Feedback in guitars

  2. A pendulum

  3. Nuclear magnetic resonance

  4. A swing

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

$Answer:-$ A

Acoustic resonance is a phenomenon that consists of a given acoustic system amplifying a sound whose frequency matches one of its own natural frequencies of vibration (its resonance frequencies).
The resonance of a tube of air is related to the length of the tube, its shape, and whether it has closed or open ends. Musically useful tube shapes are conical and cylindrical . A pipe that is closed at one end is said to be stopped while an open pipe is open at both ends. Modern orchestral flutes behave as open cylindrical pipes; clarinets and lip-reed instruments (brass instruments) behave as closed cylindrical pipes; and saxophones, bassoons as closed conical pipes. Vibrating air columns also have resonances at harmonics, like strings (in guitars).

Multiple choice resonance oscillations physics

Destruction of buildings during an earthquake is an example of:

  1. mechanical resonance

  2. beats

  3. damped vibration

  4. critical vibration

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

During earthquake, when the frequency of earthquake becomes equal to the natural frequency of building, resonance (mechanical) occurs due to which amplitude of vibration of building increases and building get destroy.

Multiple choice resonance oscillations physics

Which of the following shows mechanical resonance?

  1. Balance wheel

  2. Pendulum

  3. Quartz crystal

  4. All of the above

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

$Answer:-$ D

Mechanical resonance is the tendency of a mechanicalsystem to respond at greater amplitude when the frequency of its oscillations matches the system's natural frequency of vibration (its resonance frequency or resonant frequency) than it does at other frequencies.
examples: Most clocks keep time by mechanical resonance in a balance wheel, pendulum, or quartz crystal.

Multiple choice resonance oscillations physics

Which of the following shows acoustic resonance?

  1. Harps

  2. Guitars

  3. Pianos

  4. Crystal quarts

Reveal answer Fill a bubble to check yourself
A,B,C Correct answer
Explanation

$Aswer:-$ A,B,C

Acoustic resonance is a phenomenon that consists of a givenacoustic system amplifying a sound whose frequency matches one of its own natural frequencies of vibration (its resonancefrequencies).
Acoustic resonance is an important consideration for instrument builders, as most acoustic instruments use resonators, such as the strings and body of a violin, the length of tube in a flute, and the shape of a drum membrane.
In quartz crystals mechanical resonance occurs.

Multiple choice resonance oscillations physics

Pushing a person in a swing is a common example of which type of resonance?

  1. Mechanical resonance

  2. Acoustic resonance

  3. Tidal resonance

  4. None of the above

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

When we push a person in a swing, we generally match the time between two consecutive pushes, with the time, in which swing comes back to its extreme position. In fact we match our pushing frequency with the frequency of swing to get large arc of swing (amplitude), this is a common example of mechanical resonance.