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After Neil updated his cash book using the bank statement, which item would appear on the bank reconciliation statement (not in the updated cash book)?
Option B is correct.
Unpresented cheques are written and recorded in the cash book but not yet presented to the bank โ they are timing differences shown on the reconciliation.
- A: Bank charges update the cash book.
- C: Credit transfers update the cash book.
- D: Cash book errors are corrected in the cash book.
A ball with kinetic energy $E$ is projected at $45ยฐ$ to the horizontal. Its kinetic energy at the highest point of its flight is:
At the highest point, only horizontal velocity remains: $v_x = u\cos45ยฐ = \dfrac{u}{\sqrt{2}}$
$KE_{\text{top}} = \dfrac{1}{2}mv_x^2 = \dfrac{1}{2}m\cdot\dfrac{u^2}{2} = \dfrac{1}{2}\cdot\dfrac{1}{2}mu^2 = \mathbf{\dfrac{E}{2}}$
The three slabs are placed side-by-side (parallel combination), each occupying one-third of the area $A/3$ and the full separation $d$.
Total capacitance:
$C = \frac{\varepsilon_0 (A/3)}{d}(K_1 + K_2 + K_3) = \frac{\varepsilon_0 A}{3d}(10+12+14) = \frac{36\varepsilon_0 A}{3d} = \frac{12\varepsilon_0 A}{d}$
For a single dielectric $K$:
$C = \frac{K\varepsilon_0 A}{d}$
$\Rightarrow K = 12$
The equivalent dielectric constant is simply the arithmetic mean: $(10+12+14)/3 = 12$.
Bulk modulus $K = \rho \frac{dP}{d\rho}$.
- Rearranging for change in density $d\rho$: $d\rho = \frac{\rho dP}{K}$
- Given $dP = P$, the increase is $\frac{\rho P}{K}$.
Total distance covered in 25 s \(= 20 \times 25 = 500\) m
Length of bridge \(= 500 - 100 = 400\) m
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