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#wavelength calculation

9 public questions tagged with this topic.

Superposition and Interference of Waves

A transverse wave on a string has a speed of 12 m/s and a frequency of 8 Hz. What is its wavelength?

**Wave addition** governed by phase difference determines resultant intensity ∝ A². Phase arises from path difference Δ = (2π/λ)·Δx, and resultant formula captures interference condition quantitatively for NCERT problems. Speed: v = v λ . Wavelength: λ = (v/v) = (12/8) = 1.5 m . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 1.5 m, illustrating frequency-length-speed interdependence and quantization by boundaries. This aligns with NCERT Class 11 treatment, emphasizing conservation, symmetry and dimensional consistency useful for CBSE, NEET and CUET.

Ref: NCERT > Physics Book > Waves > Superposition and Interference of Waves

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NMRSpectroscopy

What is the wavelength required to excite spins at 300 MHz?

Electromagnetic wavelength follows lambda equals speed of light divided by frequency. NMR Larmor frequencies for protons at common field strengths range 300 to 600 MHz, corresponding to radiowaves. Dividing 3x10^8 meters per second by 3x10^8 hertz yields approximately 1 meter wavelength, matching size of radio antennas and NMR coil dimensions. Such long wavelength, low photon energy ensures non-ionizing excitation, preventing bond breakage in biological samples. This physical scale explains instrumentation design, safety for in vivo magnetic resonance imaging, and deep penetration into tissue for medical diagnostics.

Ref: NCERT Biology Class XII Principles on Klenow fill-in labeling, Lehninger Chapter 9 DNA cloning techniques, and Molecular Cloning by Sambrook Chapter 10 documenting end-labeling of cohesive termini.

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