Tag: physics

Questions Related to physics

The waves in which the particles of the medium travel in the same direction as the waves are

  1. linear waves

  2. longitudinal waves

  3. transverse waves

  4. electromagnetic waves


Correct Option: B
Explanation:

The waves in which the displacement of the medium is in the same direction as, or the opposite direction to the direction of the propagation of the wave, are called lognitudinal waves. Ex$:-$ Sound waves, sewmic waves

While $:-$ 
The wave in which the displacement of the medium are at right angles to the direction of propogation, are called trensverse waves.
Ex$:-$ Electromagnetic waves, ripple on water surface.
Option (B) is the correct answer

Which of the following functions represent a traveling wave ?

  1. $({ x-vt })^{ 2 }$

  2. $({ x-vt })^{ 3 }$

  3. ${ 2 }^{ -(x-vt)^{ 2 } }$

  4. ${ e }^{ (x-vt) }$


Correct Option: D

The equation of the stationary wave is
$y=2A\quad sin(\cfrac { 2\pi ct }{ \lambda  } )cos(\cfrac { 2\pi x }{ \lambda  } )$
Which of the following statement (s) is wrong?

  1. The unit of ct is same as that of $\lambda$

  2. The unit of x is same as that of $\lambda$

  3. The unit of $2\pi t$ is same as that of $2\pi x/\lambda t$

  4. The unit of $c/\lambda$ is same as that of $x/\lambda$


Correct Option: C,D
Explanation:

$y=2Asin(\dfrac{2\pi ct}{\lambda}). cos(\dfrac{2\pi x}{\lambda})$


The unit of $\lambda $ and $x$ is $m$


The unit of $ct$ is $m$

The unit of $2\pi t$ is $s$.

The unit of $2\pi x/\lambda t$ is $s^{-1}$

The unit of $\dfrac{c}{\lambda}$ is $s^{-1}$

The unit of $x/\lambda$ is unit less.

The wrong statement is C and D both.

In a plane progressive harmonic wave, $V _{P}$ is the maximum particle speed and $V$ is the wave speed. If amplitude of wave is less than $\lambda/ 2\pi$, then

  1. $V = V _{P}$

  2. $V > V _{P}$

  3. $V _{P} < V$

  4. Unpredictable


Correct Option: C

Standing waves are produced in $10m$ long stretched wire. If wire vibrates in five segments and wave velocity is $20m/s$, then the frequency is $(in\ Hz)$

  1. $5$

  2. $10$

  3. $15$

  4. $20$


Correct Option: A

The equation of a stationary wave is given by $ y= 5cos \frac { \pi x }{ 3 }  sin 40 \pi t $. where y and x are given cm and time t in second then the amplitude of the progressive wave is

  1. $2.5 cm$

  2. $10 cm$

  3. $5 cm$

  4. $7.5 cm$


Correct Option: A

The equation of progressive wave travelling along positive direction of x-axis having an amplitude of $0.04\ m$, frequency $440\ Hz$ and wave velocity $330 m/s$ is

  1. $y = 0.04\sin 2\pi \left (440t - \dfrac {4x}{3}\right )$

  2. $y = 0.04\cos 2\pi \left (440t - \dfrac {3x}{4}\right )$

  3. $y = 0.04\sin 2\pi \left (440t + \dfrac {4x}{3}\right )$

  4. $y = 0.04\cos 2\pi \left (440t + \dfrac {4x}{3}\right )$


Correct Option: C

In a stationary wave

  1. Strain is maximum at nodes

  2. amplitude is minimum at nodes

  3. Strain is maximum at antinodes

  4. Amplitude is zero at all points


Correct Option: B

The frequency of plane progressive wave is $100$ Hz. After how much time the same point will be $90^o$ out of phase?

  1. $2.5\times 0^{-3}s$.

  2. $3.5\times 0^{-3}s$.

  3. $4.5\times 0^{-3}s$.

  4. $5.5\times 0^{-3}s$.


Correct Option: A
Explanation:

$w=2\Pi f$

where f is frequency of wave
Phase angle, $\theta wt$
$90^{\circ}=2\Pi ft$

$t=\dfrac{\Pi }{2\times 2\Pi f}$

$t=\dfrac{1}{4\times 100} $sec

$t=2.5\times 10^{-3}$ sec

Progressive wave are waves originating from a source such that they never return to the source.

  1. True

  2. False


Correct Option: A
Explanation:

progressive waves are waves after generation from the source the keep on propagating on the direction of propagation .

so the answer is A.