7. Explain why the lever must be horizontal to determine the tension of the string from the hanging mass (hint: torque equilibrium) 8. Explain how does a pick-up coil (microphone) work 9. What is cross-talk?

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A: Required to show that the vacuum Einstein equations are satisfied for any 2D metric.

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Q: Prove that [x, P₂] = 0, [ŷ, Px] = 0, [2, Px] = 0, [ŷ, Py]=iħ, [2, Py] =0, [ŷ,P₂] = 0, [2, P₂] = iħ

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Q: Give the value of the integrals: (i) (w211 | Ĉ- | U211 ) (ii) (2p# | l² | 2Py ) ; (iii) (v3,1,–1 | Ħ…

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Q: (6) Work out the commutation relation: Î,f|

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Q: (5) Work out the commutation relation:

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Q: mathematically prove that you cannot clone a qubit.

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Q: Work out the commutation relation:

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Q: A force, or point described as P(1, 2, 3) is how far from the origin O (0, 0, 0).

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Q: Any two-dimensional metric satisfiesR_λρµν = R/2 (g_λµ g_ρν − g_λν g_ρµ).Show that the vacuum…

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Q: Any two-dimensional metric satisfies R_λρµν = R/2 (g_λµ g_ρν − g_λν g_ρµ). Show that the vacuum…

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A: solution as

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Q: When is Q(hat) Hermitian?

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Q: 2. f= (2y + + x j +3yz %3D

A: Given, F=2xy+z3i→+x2j→+3yz2k→∇×F=i^j^k^∂ ∂x∂ ∂y∂ ∂z2xy+z3x23yz2Solving we get=∂ ∂y3yz2-∂ ∂zx2i^-∂…

Q: Consider the real part of the spherical harmonic Y1, + 1. At which values of do angular nodes occur?

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Q: 4. How much tenson must E iH is Used to acce lecute a l150-kg Caf rerlically upwardat Oi75 mys??…

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Q: Verify that each of the following force fields is conservative. Then find, for each, a scalar…

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