Q.(a) Identify electromagnetic waves which :
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🔒 Start your 14-day free trial to unlock the full solution →Part (a)Concept understanding — Electromagnetic Spectrum Regions And Uses
The full electromagnetic spectrum is the orderly classification of every possible electromagnetic wave by wavelength or frequency (related by c=fλ in vacuum), running continuously from the longest-wavelength, lowest-frequency radio waves to the shortest-wavelength, highest-frequency gamma rays, with visible light forming only a narrow band roughly in the middle. Radio waves (a few Hz to 109 Hz) are produced by accelerated charges oscillating in conducting wires (antennas), show reflection and diffraction, and carry radio and television broadcasts and cellular voice communication in the UHF band. Microwaves (109 to 1011 Hz) are produced by specialised vacuum-tube devices -- the klystron, the magnetron, and the Gunn diode -- undergo reflection and can be polarised, and are used in radar for aircraft navigation and vehicle-speed detection, in microwave ovens, and for long-distance satellite communication. Infrared radiation (1011 to 4×1014 Hz), sometimes called heat radiation, is produced by hot bodies and by molecules undergoing rotational and vibrational transitions, and is used in infrared detectors aboard Earth satellites for military surveillance and to observe crop growth, in night-vision/infrared photography, in physiotherapy for muscular strain, to maintain the Earth's warmth through the greenhouse effect, and in remote controls for TVs and other appliances. Visible light (4×1014 to 8×1014 Hz) is produced by incandescent bodies and by excited atoms in gases, obeys the ordinary laws of reflection and refraction, shows interference, diffraction, polarisation and the photoelectric effect, and is what produces the sensation of vision -- it is also used to probe molecular structure and the arrangement of electrons in the outer shells of atoms. Ultraviolet radiation (8×1014 to 1017 Hz), from the Sun, arcs and ionized gases, sterilises instruments and destroys bacteria, drives burglar alarms, reveals invisible writing and fingerprints, and aids atomic-structure study, though most is absorbed by atmospheric ozone and can be harmful to the human body. X-rays (1017 to 1019 Hz), produced by suddenly stopping high-speed electrons at a high-atomic-number target or by tr …
Part (b)Concept understanding — Refraction and Snell's Law
Refraction and Snell's Law
When light crosses the boundary between two transparent media its speed changes, so the ray bends at the surface. The bending is governed by Snell's law, which relates the angle of incidence i (measured from the normal) in medium 1 to the angle of refraction r in medium 2:
n1sini=n2sinr
Here n=c/v is the (absolute) refractive index of a medium, always ≥1 for ordinary matter.
Which way does it bend?
- Going into a denser medium (n2>n1): light slows down, sinr<sini, so the ray bends toward the normal.
- Going into a rarer medium (n2<n1): the ray bends away from the normal.
- At normal incidence (i=0) the ray passes straight through, and a ray never bends past the normal for ordinary media.
Across a stack of layers (e.g. air → turpentine → water), apply Snell's law at each interface in turn. Since nair<nwater<nturpentine, a ray descending from air bends toward the normal on entering the turpentine and then away from the normal on entering the (less dense) water. …
Part (a)
Different bands of the electromagnetic spectrum have distinct uses:
(i) Radar systems use microwaves — frequency range ∼3×108 Hz to 3×1011 Hz (about 1–100 GHz in practice).
(ii) A photographic plate is affected (exposed/fogged) by X-rays — this is literally the classic property by which X-rays were first detected (a nearby photographic plate darkened on exposure), and film is still the traditional detector in X-ray radiography — ∼3×1016 Hz to 3×1019 Hz. …
Part (a): radar → microwaves, photographic plate → X-rays, surgery → ultraviolet, with their frequency ranges.
Part (b): Huygens' construction gives sini/sinr=v1/v2=n2/n1, i.e. Snell's law, with the wave bending toward the normal into a denser medium.
Part (a) — Identifying electromagnetic waves
(i) Radar → microwaves. Microwaves form sharp beams that reflect strongly from metal, ideal for detection and ranging. Frequency ∼3×108–3×1011 Hz (1–100 GHz typically).
(ii) Photographic plate → X-rays. X-ray photons carry enough energy to expose (darken) the silver-halide emulsion directly — this is literally the property by which X-rays were first detected (a nearby photographic plate had fogged), and film remains the classic detector used in X-ray radiography. Frequency ∼3×1016–3×1019 Hz.
(iii) Surgery → ultraviolet. UV's very short wavelength lets it be focused into a fine, precise cut with minimal thermal spread into surrounding tissue — this is the basis of LASIK corrective eye surgery. Frequency ∼8×1014–5×1017 Hz. …
Showing the 12 most recent of 71 on this concept.
- CBSE 2026Set 55/1/11 markMCQQ.Electromagnetic waves used in a diagnostic tool in medicine have a wavelength range (A) 1 nm to 10−3 nm (B) 400 nm to 1 nm (C) 1 mm to 700 nm (D) 0.1 m to 1 mm
›Reveal solutionSolution
The question asks for the wavelength range of electromagnetic waves used in a medical diagnostic tool. X-rays, used in radiography and CT scans, have wavelengths from about 1 nm down to 10−3 nm. The correct option is (A).
The key here is to connect the medical diagnostic tool to the specific type of electromagnetic wave it uses. The most common diagnostic tools in medicine that rely on electromagnetic waves are X-ray machines (for bone fractures, chest X-rays, CT scans) and MRI machines (which use radio waves). The question gives wavelength ranges, so we need to match the correct range to the tool.
X-rays are the standard for imaging hard tissues like bones. Their wavelengths are extremely short — much shorter than visible light. Visible light ranges from about 700 nm (red) to 400 nm (violet). X-rays lie beyond ultraviolet, in the range of roughly 1 nm down to 0.001 nm (10−3 nm). This matches option (A) exactly.
Let’s check the other options to be sure:
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Option (B): 400 nm to 1 nm — This covers the ultraviolet and part of the visible spectrum. Ultraviolet is used in sterilisation, not in routine diagnostic imaging. So this is incorrect.
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Option (C): 1 mm to 700 nm — This spans the infrared region. Infrared is used in thermal imaging (thermography), but that is not a primary diagnostic tool like X-rays. The question likely refers to the most common tool, so this is not the best answer. …
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- CBSE 2026Set ANNUAL1 markQ.Which electromagnetic wave has the highest energy?
›Reveal solutionSolution
Energy of an EM wave is proportional to its frequency; gamma rays have the highest frequency.
Photon energy E=hf, so the electromagnetic wave with the highest frequency has the highest energy. In the electromagnetic spectrum, gamma …
- CBSE 2026Set DS1 markMCQQ.Electromagnetic waves of minimum frequency is:i) ultraviolet raysii) X raysiii) γ-raysiv) microwaves
›Reveal solutionSolution
Microwaves have the longest wavelength (lowest frequency) of the four, so they are the minimum-frequency wave.
Concept. In the electromagnetic spectrum, frequency increases (and wavelength decreases) in the order:
radio<microwave<infrared<visible<ultraviolet<X-rays<γ-rays. …
- CBSE 2026Set A1 markMCQQ.The refractive index of water is 1.33. What will be the speed of light in water? (A) 1.33 × 10^8 m/s (B) 4 × 10^8 m/s (C) 2.25 × 10^8 m/s (D) 3 × 10^8 m/s
›Reveal solutionSolution
Speed in a medium = c/n = (3 × 10⁸)/1.33 ≈ 2.25 × 10⁸ m/s.
The refractive index of a medium is the ratio of the speed of light in vacuum to that in the medium:
n=vc⇒v=nc
…
- CBSE 2026Set ANNUAL1 markMCQQ.The refractive indices of glass and water with respect to air are 3/2 and 4/3, respectively. The refractive index of glass w.r.t. water will be(a) 8/9(b) 9/8(c) 7/6(d) 6/7
›Reveal solutionSolution
ng/w=ng/a/nw/a=(3/2)/(4/3)=9/8.
Refractive index of glass w.r.t. water can be obtained by combining the refractive indices w.r.t. air:
…
- CBSE 2026Set ANNUAL1 markMCQQ.Which of the following has the smallest wavelength?(a) Micro-waves(b) Red light(c) Ultraviolet radiation(d) gamma-rays
›Reveal solutionSolution
Across the electromagnetic spectrum, wavelength decreases (and frequency/energy increases) in the order: micro-waves > red light (visible) > ultraviolet > gamma-rays.
The electromagnetic spectrum, arranged from LONGEST to SHORTEST wavelength, runs roughly: radio waves > microwaves > infrared > visible light (red to violet) > ultraviolet > X-rays > gamma rays. Comparing the four given options in that order - micro-waves (longest here), red light (visible, shorter than microwaves), …
- CBSE 2026Set ANNUAL1 markMCQQ.Refraction takes place due to(a) change in the speed of light(b) no change in the speed of light(c) change in the colour of light(d) polarization
›Reveal solutionSolution
Light bends when it crosses into a medium where its speed is different; that speed change is the fundamental cause of refraction.
When light travels from one medium into another (e.g. air into glass), its speed changes because the two media have different optical densities (different refractive indices). According to Snell's law, n1sin(theta1) = n2sin(theta2), and refractive index n = c/v (speed of light in vacuum divided by speed in the medium). Because the speed v changes at the boundary, the direction of the light ray bends - this bending is refraction. If the speed did no …
- CBSE 2026Set ANNUAL1 markMCQQ.Identify the constituent radiation of electromagnetic spectrum which is used in medicine to destroy cancer cells.(a) X-rays(b) UV rays(c) IR rays(d) Gamma rays
›Reveal solutionSolution
Gamma rays, the highest-energy, shortest-wavelength part of the EM spectrum, are used in radiotherapy to destroy cancer cells.
Among the options, X-rays are chiefly used for imaging (and in some radiotherapy), UV rays for sterilisation and detecting fluorescence, and IR rays for heating and thermal imaging. Gamma rays, emitted by radioactive nuclei, carry very high photon energy and deep penetrating power. In medicine this is exploited in gamma-ray therapy (e.g. Cobalt-60 teletherapy, the 'gamm …
- CBSE 2026Set ANNUAL1 markMCQQ.The optical density of turpentine is higher than that of water while its mass density is lower. Figure shows a layer of turpentine floating over water in a container. Which of the following four rays incident on turpentine in figure, the path shown is correct?(a) 1(b) 2(c) 3(d) 4
›Reveal solutionSolution
Since turpentine is optically the densest of the three (n(turpentine) > n(water) > n(air)), a ray must bend toward the normal at the air–turpentine surface, then bend away from the normal (but not all the way back) at the turpentine–water surface.
The question states the optical density (refractive index) order is turpentine > water > air (even though turpentine's mass density is lower than water's, which is why it floats — optical density and mass density are unrelated). Refraction at each interface follows Snell's law, n1sinθ1=n2sinθ2:
- Air → Turpentine: going into an optically denser medium, the ray bends towards the normal (angle decreases).
- Turpentine → Water: water is rarer than turpentine, so going into it the ray bends away from the normal (angle increases) compared to its path inside turpentine. …
- CBSE 2026Set ANNUAL1 markQ.In phenomenon of refraction of light, which property of it remains unchanged ?
›Reveal solutionSolution
In refraction, frequency stays constant; speed and wavelength change.
When light travels from one medium into another, its speed changes (v = c/n) and consequently its wavelength changes (λ = v/f). However, the frequency f is determined by the source of light and does not change when the wave crosses the boundary — the number of wavefronts arriving per second must equal the number leaving per second ( …
- CBSE 2025Set 55/6/11 markMCQQ.Assertion (A): X-rays are produced when slow moving electrons are stopped by a metal target of high atomic number. Reason (R): X-rays consist of low-energy photons. (A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A). (B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A). (C) Assertion (A) is true, but Reason (R) is false. (D) Both Assertion (A) and Reason (R) are false.
›Reveal solutionSolution
Both statements are false: X-rays require FAST (not slow) electrons to be decelerated by a high-Z target, and X-ray photons are HIGH-energy (not low-energy). The correct option is (D).
Concept and intuition
X-rays are electromagnetic radiation of very short wavelength (roughly 10−11 m to 10−8 m) and correspondingly very HIGH photon energy — from about 100eV up to 100keV, thousands of times more energetic than visible-light photons (∼2–3eV). They are produced in an X-ray tube by bremsstrahlung ("braking radiation"): electrons are first accelerated through a large potential difference (tens of kilovolts), giving them very HIGH kinetic energy, and are then suddenly decelerated on striking a metal target of high atomic number (e.g. tungsten, Z=74) — a high-Z target is used because the efficiency of bremsstrahlung production increases with Z.
Evaluating the Assertion
The Assertion states that X-rays are produced when slow moving electrons are stopped by a high-Z target. This gets the mechanism backwards: it is precisely because the electrons are moving very fast (having been accelerated through a large voltage) that stopping them suddenly releases enough energy to produce X-ray photons. A genuinely slow-moving electron carries far too little kinetic energy to produce a photon anywhere in the X-ray range. So the Assertion, as literally worded, is false — the single word "slow" (which should read "fast") is what makes it false; the rest of the statement (high-Z target, sudden stopping) is correct in isolation, but the assertion as a whole is not.
Evaluating the Reason
The Reason states that X-rays consist of low-energy photons. This is also the opposite of the truth: X-ray photons are HIGH-energy compared to visible, infrared, or radio-wave photons — that is exactly why they can penetrate soft tissue and are dangerous in large doses. So the Reason is false as well. …
- CBSE 2025Set JS1 markMCQQ.Electro-magnetic wave of minimum frequency is: (A) Ultraviolet rays (B) X-rays (C) Gamma (γ-) rays (D) Micro waves
›Reveal solutionSolution
In the EM spectrum the order of increasing frequency is microwave < ultraviolet < X-ray < γ-ray, so microwaves have the minimum frequency — option (D).
Concept. For all electromagnetic waves c=νλ, so a larger wavelength means a smaller frequency. Arranged by increasing frequency:
radio<micro<infrared<visible<UV<X-ray<γ-ray.
…
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