A radio can tune in to any station in the $7.5\; MHz$ to $12\; MHz$ band. What is the corresponding wavelength band?
A radio can tune in to any station in the $7.5\; MHz$ to $12\; MHz$ band. What is the corresponding wavelength band?
A radio can tune to minimum frequency, $v_{1}=7.5 MHz =7.5 \times 10^{6} Hz$
Maximum frequency, $v_{2}=12 MHz =12 \times 10^{6} Hz$
Speed of light, $c=3 \times 10^{8} m / s$
Corresponding wavelength for $v_{1}$ can be calculated as:
$\lambda_{1}=\frac{c}{v_{1}}$
$=\frac{3 \times 10^{8}}{7.5 \times 10^{6}}=40 m$
Corresponding wavelength for $v_{2}$ can be calculated as
$\lambda_{2}=\frac{c}{v_{2}}$
$=\frac{3 \times 10^{8}}{12 \times 10^{6}}=25 m$
Thus, the wavelength band of the radio is $40 m$ to $25 m$.
Similar Questions
The electromagnetic waves travel with a velocity
The electromagnetic waves travel with a velocity
The electric field part of an electromagnetic wave in a medium is represented by
$E_x=0, E_y=2.5 \frac{N}{C}\, cos\,\left[ {\left( {2\pi \;\times\;{{10}^6}\;\frac{{rad}}{s}\;\;} \right)t - \left( {\pi \;\times\;{{10}^{ - 2}}\;\frac{{rad}}{m}} \right)x} \right]$,and $ E_z=0$ . The wave is
The electric field part of an electromagnetic wave in a medium is represented by
$E_x=0, E_y=2.5 \frac{N}{C}\, cos\,\left[ {\left( {2\pi \;\times\;{{10}^6}\;\frac{{rad}}{s}\;\;} \right)t - \left( {\pi \;\times\;{{10}^{ - 2}}\;\frac{{rad}}{m}} \right)x} \right]$,and $ E_z=0$ . The wave is
- [AIPMT 2009]
In an $EM$ wave propagating along $X-$ direction magnetic field oscillates at a frequency of $3 \times 10^{10}\, Hz$ along $Y-$ direction and has an amplitude of $10^{-7}\, T$. The expression for electric field will be
In an $EM$ wave propagating along $X-$ direction magnetic field oscillates at a frequency of $3 \times 10^{10}\, Hz$ along $Y-$ direction and has an amplitude of $10^{-7}\, T$. The expression for electric field will be
Which of the following is not transported by electromagnetic waves?
Which of the following is not transported by electromagnetic waves?
A plane electromagnetic wave travels in free space along the $x -$ direction. The electric field component of the wave at a particular point of space and time is $E =6\; Vm^{-1}$ along $y -$ direction. Its corresponding magnetic filed component, $B$ would be
A plane electromagnetic wave travels in free space along the $x -$ direction. The electric field component of the wave at a particular point of space and time is $E =6\; Vm^{-1}$ along $y -$ direction. Its corresponding magnetic filed component, $B$ would be
- [JEE MAIN 2019]