Question

The frequency of electromagnetic wave, which is best suited to observe a particle of radius $$3 \times {10^{ - 4}}cm,$$   is of the order of

A. $${10^{15}}$$
B. $${10^{14}}$$  
C. $${10^{13}}$$
D. $${10^{12}}$$
Answer :   $${10^{14}}$$
Solution :
Size of particle of any wave is given in terms of wavelength
$$\eqalign{ & \lambda = \frac{c}{\nu } \cr & {\text{Here,}}\,\,\lambda = 3 \times {10^{ - 4}}cm, \cr & {\text{Velocity of light in vacuum,}}\,c = 3 \times {10^{10}}cm/s \cr & \therefore 3 \times {10^{ - 4}} = \frac{{3 \times {{10}^{10}}}}{\nu } \cr & \therefore {\text{Frequency of electromagnetic wave}}\,\nu = {10^{14}}\,Hz \cr} $$

Releted MCQ Question on
Electrostatics and Magnetism >> Electromagnetic Waves

Releted Question 1

Out of the following options which one can be used to produce a propagating electromagnetic wave?

A. A stationary charge
B. A chargeless particle
C. An accelerating charge
D. A charge moving at constant velocity
Releted Question 2

The energy of the $$EM$$  waves is of the order of $$15\,keV.$$  To which part of the spectrum does it belong?

A. X-rays
B. Infrared rays
C. Ultraviolet rays
D. $$\gamma $$-rays
Releted Question 3

The condition under which a microwave oven heats up a food item containing water molecules most efficiently is

A. the frequency of the microwave must match the resonant frequency of the water molecules
B. the frequency of the microwave has no relation with natural frequency of water molecules
C. microwave are heat waves, so always produce heating
D. infra-red waves produce heating in a microwave oven
Releted Question 4

The electric field associated with an electromagnetic wave in vacuum is given by $$E = \hat i40\cos \left( {kz - 6 \times {{10}^8}t} \right),$$      where $$E,z$$  and $$t$$ are in $$volt/m,$$  metre and second respectively. The value of wave vector $$k$$ is

A. $$2\,{m^{ - 1}}$$
B. $$0.5\,{m^{ - 1}}$$
C. $$6\,{m^{ - 1}}$$
D. $$3\,{m^{ - 1}}$$

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