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Published on: 03/10/2019
Electromagnetic Waves
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1.
In a class discussion, when there was Rajat turn, Rajat selected to talk on jagadish Chandra Bose who was a great Indian scientist. he told that, Jagadish Chandra bose was a great physicist and famous biologist .who rightly be called as inventor of wireless telegraphy. Earlier than a year before when Marconi patent his invention on wireless, in 1895, Bose showed the functioning of telegraphy in front of the public. Bose was the first man who fabricated a device that generates radio wavelength. Being a scientist, Bose selflessly dedicated his findings for further development in science. So Rajat on this told that an inventor can make lakhs of rupees through its one or two inventions as Bose invented many such instruments for industrial use. He further said that Bose on his invention rejected the offered money as he thought that knowledge was not an body's personal property and allowed anyone an everyone to use such fruits of his work. With Raja talk on Bose, whole class including his teacher applauded.
(i) Give two properties of the e.m.w. produced by Bose.
(ii) What values of Bose impressed you from the above passage?
2.
Gopal visits his friend Naresh. In his house Naresh was playing with his kid sister and in spite of the broad day light, Gopal notices the tube light burning and advises him to save electricity. He also claims that the heat inside the room increases which would lead to global warming.
(a) What are the values associated with the decision saving electricity?
(b) Which electromagnetic wave is responsible for increase in the average temperature of the earth? Give other application of the electromagnetic wave.
3.
Chirag was at the restaurant chatting with his cousins. The restaurant was clean and free of files and insects to his relief. His cousin was curious to know about the UV lamp in the corner and asked Chirag about it. Chirag explained that inside the fluorescent lamp, the electrical energy is converted into UV radiation. The inside of the tubes is coated with a fluorescent powder which absorbs the UV and emits violet light in the visible region. These attract the insects which are electrocuted by high-voltage wires near the lamp, so that don't fall on the food and contaminate them.
(a) Name the main source of UV rays?
(b) Why are they considered harmful to us?
(c) What impressed you about chirag?
4.
Akil was playing cricket with his friends, when a ball hit friend Bharat on his leg. Bharat screamed with pain. Akhil rushed towards him and comforted him and asked him not to move his leg. He quickly took out his cell phone and called up Bharat's parents and briefed them about the incident. In 10 minutes Bharat was taken to the nearby hospital and was examined by the doctor who advised for an X-rays test which confirmed a hairline fracture.
(a) How are X-rays produced?
(b) Mention one another application of X-rays.
(c) Mention two qualities of Akhil which are reflected from above situation.
5.
Draw a labelled diagram of Hertz's experiment. Explain how electromagnetic radiations are produced using this set-up.
6.
Nitin and Rajeev were studying the effect of certain radiations on flower plants. Nitin exposed his plants to ultraviolet rays, found that his plants got damaged after few days.Rajeev exposed his plants to infrared rays, found that his plants had a beautiful bloom, after a few days.
Read the above passage and answer the following question:
(i) What is the difference between ultraviolet rays and infrared rays
(ii) Why were the plants exposed to ultraviolet rays damaged and the plants exposed infrared rays had a beautiful bloom?
(iii) What are the basic values you have learnt from this study
7.
A laser beam has intensity 3.0 x 1014 M m-2. Find the amplitudes of electric and magnetic fields in the beam.
8.
There is a parallel plate capacitor of capacitance \(2.0\mu F.\) The voltage between the plates of parallel plate capacitor is changing at the rate of 6.0 V s-1 . What is the displacement current in the capacitor?
9.
A parallel plate capacitor is made out of two rectangular metal plates of sides 30 cm \(\times \)15 cm and separated by a distance of 2.0 mm. The capacitor is charged in such a way that the charging current has a constant value of 100 mA. What must be the rate of change of potential of the charging source to ensure this and what will be the displacement current in the region between the capacitor plates?
10.
How would you set up an instantaneous displacement current of 2.0 A within the space between the two parallel plates of \(3_{ \mu }F\) capacitance?
1.
(i) They are transverse in nature, and travel with the speed of light in vacuum
(ii) The selfless attitude of the scientist, service mindedness and modesty.
2.
(a) Concern for society/nation, awareness about global warming.
(b) Applications of infared waves: To treat muscular strain, solar water heaters & cookers.
3.
(a) Sun is the main source of UV rays.
(b) They can cause skin cancer when exposed for a longer time.
(c) Clarity in explaining, health, awareness, knowledge.
4.
(a) X-rays are produced by bombarding a metal target by high energy electrons.
(b) To study the atomic structures, treatment for certain forms of cancer.
(c) Presence of mind. alertness, taking initiative, helpful, caring.
5.
Hertz Experiment: Hertz's experiment was based on the fact that an oscillating electric charge radiates electromagnetic waves and these waves carry energy which is being supplied at the cost of K.E.of the oscillating charge.
Hertz Apparatus: The experimental arrangement used by Hertz for the production and detection of electromagnetic waves in the laboratory, is shown in fig. His experimental arrangement consists of two metal sheets P1 and P2 These sheets are connected to a source of very high voltage (i.e. an induction coil, which can supply a potential difference of several thousand volts). S1 and S2 are o metal spheres connected to the metal sheets P1 and P2 The distance between the metal sheets is kept nearly 60 cm and that between the sphere is normally from 2 cm to 2.5cm.
The two plates PI and P2 form a capacitor of very low capacitance (C). The circuit containing P1 and P2 (being completed by conducting wire), has also some low value of inductance L. It thus forms an LC-circuit. Detector (D) consisting of a coil to the ends of which two other small metal spheres S1 and S2 are connected.

Working of Hertz apparatus: Due to existence of very high voltage, air present in the gap across the plates or spheres S1 and S2 gets ionised. Due to presence of the ions or charged particles, the path between the spheres S1 and S2 become conducting. As a result of this, very high time-varying current flows across the gap between S1 and S2 (as plates P1 and P2 from an LC circuit). Due to this a spark is produced. Since, sheets P1, P2 from an LC-circuit, hence, electromagnetic waves of frequency
\(f=\frac { 1 }{ 2\pi } \sqrt { \frac { 1 }{ LC } } \) are radiated.
Function of the detector D: Hertz detected the electromagnetic waves by means of a detector D, kept suitable distance from the conducting spheres S1, S2 . Detector D is made of two similar conducting spheres and joined to the ends of a coil to form another LC circuit. The frequency of this LC circuit is made equal to the frequency of electromagnetic waves reaching it. The frequency can be adjusted by changing the diameter of the coil of the detector and by changing the distance between S1 and S2 are normal to the plane of coil (C). When magnetic lines of force cut the detector coil, an emf is inducd in it.Hence, air in between ga gets ionised. A conducting path becomes available for the induced current to flow across the gap. Thus, the spark is produced between S1 and S2. Hertz also observed that the spark across the gap was the greatest when S1, S2 were parallel to each other. This clearly established that electromagnetic waves produced were polarised i.e.
\(\vec { E } \) and \(\vec { B } \) always lie in one plane.
6.
(i) The frequency of ultraviolet rays \(({ v }_{ uv }) \) is \(8\times { 10 }^{ 14 }Hz \ to \ 5\times { 10 }^{ 16 }Hz\) . The frequency of infrared rays \(({ v }_{ IR })\) is.\(3\times { 10 }^{ 11 }Hz \ to \ 4\times { 10 }^{ 14 }Hz\) As energy, E = hv, so ultraviolet rays are much more energetic than infrared rays.
(ii) A flower plant is very delicate. It can not tolerate the exposure of high energy rays. As ultraviolet rays are of higher energy than infrared rays, therefore, The plants exposed to ultraviolet rays were damaged. And the plants exposed to infrared rays had a beautiful bloom
(iii) This study implies that small children are like flower plants. They require soft and gentle care by their mothers. Exposure of young kids to harsher treatment is dangerous and it must be avoided
7.
Here, I = 3.0 x 1014 M m-2 , E0 = ?, B0 = ?
Intensity of the plane electromagnetic wave is
\(I={ u }_{ av }c=\frac { 1 }{ 2 } { \epsilon }_{ 0 }{ E }_{ 0 }^{ 2 }c\)
\(\therefore { E }_{ 0 }=\sqrt { \frac { 2I }{ { \epsilon }_{ 0 }c } = } \sqrt { \frac { 2\times 3\times { 10 }^{ 14 } }{ \left( 8.85\times { 10 }^{ -12 } \right) \times \left( 3\times { 10 }^{ 8 } \right) } } \)
= 4.75 x 108 V m-1
\({ B }_{ 0 }=\frac { { E }_{ 0 } }{ c } =\frac { 4.75\times { 10 }^{ 8 } }{ 3\times { 10 }^{ 8 } } =1.58T\)
8.
\(C=2.0\mu F=2\times { 10 }^{ -6 }F,\)
\(\frac { dV }{ dt } =6V{ s }^{ -1 }\)
Displacement current,
\({ I }_{ D }={ \epsilon }_{ 0 }A\frac { dE }{ dt } ={ \epsilon }_{ 0 }A\frac { d }{ dt } \left( \frac { V }{ d } \right) \)
\(=\frac { { \epsilon }_{ 0 }A }{ d } \frac { dV }{ dt } =C\frac { dV }{ dt } \)
\(=\left( 2\times { 10 }^{ -6 } \right) \times 6=12\times { 10 }^{ -6 }A\)
\(=12\mu A\)
9.
Given \(A=(0.3\times 0.15){ \quad m }^{ 2 }\)
\(d=2.0 \ mm \ =2\times 10^{ -3 } \ m\)
\( I=100mA=0.1A\)
Since
\(I=\frac { dq }{ dt } =\frac { d }{ dt } (CV)\)
\(=\frac { d }{ dt } \left( \frac { \varepsilon _{ 0 }A }{ d } V \right)\)
\(=\frac { \varepsilon _{ 0 }A }{ d } .\frac { dV }{ dt } \)
or \(\frac { dV }{ dt } =5\times 10^{ 8 }Vs^{ -1 }\)
And \(I_{ D }=I\)
so \(I_{ D }=0.1A.\)
10.
Given :\({ I }_{ D }=2A,\ C=3 \ \mu F=3\times { 10 }^{ -6 }F\)
The displacement current is given by
\({ I }_{ D }=\varepsilon _{ 0 }\frac { d\phi _{ e } }{ dt } \)
\(=\varepsilon _{ 0 }\frac { d }{ dt } (EA)\)
\( =\varepsilon _{ 0 }\frac { d }{ dt } \left( \frac { V }{ d } A \right) \)
\( =\frac { \varepsilon _{ 0 }A }{ d } \frac { dV }{ dt } =C\frac { dV }{ dt } \)
\(\therefore \frac { dV }{ dt } =\frac { { I }_{ D } }{ C } =\frac { 2 }{ 3\times 10^{ -6 } } \)
\(=6.67\times 15^{ 5 }Vs^{ -1 }\)
Thus to set up an instantaneous displacement current of 2.0 A between the plates of the current, the potential difference across the plates should be changed at the rate \(6.67\times 10^{ 5 }Vs^{ -1 }\)
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