Find the energy of a photon having (i) frequency 3.00 × 10¹⁵ Hz(ii) wavelength 0.50 Å.
Solution to Question 271
Complete workingUse E=hν for the first photon and E=hc/λ for the second.
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Find the energy of a photon having (i) frequency 3.00 × 10¹⁵ Hz(ii) wavelength 0.50 Å.
Use E=hν for the first photon and E=hc/λ for the second.
A 69% by-mass nitric acid solution has density \(1.41\,\mathrm{g}\) mL⁻¹. Calculate its molarity.
Consider exactly 1.000 L of solution. Use its density to find the solution mass, take 69% of that mass as HNO₃, and divide its moles by 1.000 L.
A bat emits 1000 kHz ultrasound toward water. Find reflected wavelength in air and transmitted wavelength in
Principle and reasoning. Work from the governing physical relation and apply it to every stated part.
Frequency does not change at reflection or transmission. Use λ=\(\frac{v}{f}\) in each medium.
Which acceleration law represents SHM: a=0.7x, a=−200x², a=−10x, or a=100x³?
Principle and reasoning. Work from the governing physical relation and apply it to every stated part.
SHM requires acceleration proportional to displacement and oppositely directed: a=−ω²x.
Estimate the number of air molecules in a 25.0 m³ room at 27°C and 1 atm.
Principle and reasoning. Work from the governing physical relation and apply it to every stated part.
Use the molecular form PV=NkT.
A gas at STP fills one of two equal connected vessels; the other is evacuated. The insulated stopcock is opened. Find final pressure, ΔU and ΔT, and comment on intermediate equilibrium states.
Principle and reasoning. Work from the governing physical relation and apply it to every stated part.
This is free expansion into vacuum. No heat enters and no boundary work is done. For an ideal gas internal energy depends only on temperature.
A steel tape is exact at 27°C. It reads a steel rod as \(63.0\,\mathrm{cm}\) at 45°C. Find
Principle and reasoning. Work from the governing physical relation and apply it to every stated part.
At 45°C each tape division expands. Multiply the reading by the tape's expansion factor. Since rod and tape are the same material, cooling both restores the numerical length.
How tall a wine barometer column is required at normal atmospheric pressure if wine density is \(984\,\mathrm{kg\,m}\)⁻³?
Principle and reasoning. Work from the governing physical relation and apply it to every stated part.
Equate hydrostatic pressure to atmospheric pressure.
An aluminium cube has edge \(10\,\mathrm{cm}\). One face is fixed and a \(100\,\mathrm{kg}\) mass pulls vertically on the opposite face. Find the deflection if shear modulus is 25 GPa; take \(g=9.8\,\mathrm{m\,s}\)⁻².
Principle and reasoning. Work from the governing physical relation and apply it to every stated part.
Shear modulus equals shear stress divided by shear strain.
For a circular satellite orbit, total mechanical energy equals the negative of which energy, and does an orbiting satellite need more or less added energy to escape than a stationary object at the same height?
For a circular orbit, U=−2K and E=K+U=−K. The orbiting body already possesses kinetic energy.