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O Levels Physics (5054)•5054/11/M/J/24
Question 28 from 5054/11/M/J/24

Explanation

Echo timing measures round-trip distance Steps:

  • The student claps 11 times, with each subsequent clap timed to the echo of the previous one, so the time between claps equals one round trip: t=2xvt = \frac{2x}{v}t=v2x​.
  • Total time from first to eleventh clap covers 11 round trips: 11t=9.411t = 9.411t=9.4 s.
  • Solve for ttt: t=9.411≈0.8545t = \frac{9.4}{11} \approx 0.8545t=119.4​≈0.8545 s.
  • Distance: x=vt2=340×0.85452≈145x = \frac{v t}{2} = \frac{340 \times 0.8545}{2} \approx 145x=2vt​=2340×0.8545​≈145 m (150 m).

Why B is correct:

  • Matches calculation of x=340×9.42×11≈150x = \frac{340 \times 9.4}{2 \times 11} \approx 150x=2×11340×9.4​≈150 m using round-trip time formula t=2xvt = \frac{2x}{v}t=v2x​.

Why the others are wrong:

  • A: Assumes 12 round trips (9.4/12≈0.7839.4/12 \approx 0.7839.4/12≈0.783 s, x≈133x \approx 133x≈133 m).
  • C: Assumes 9 round trips (9.4/9≈1.0449.4/9 \approx 1.0449.4/9≈1.044 s, x≈178x \approx 178x≈178 m).
  • D: Assumes 5 round trips (9.4/5=1.889.4/5 = 1.889.4/5=1.88 s, x≈320x \approx 320x≈320 m).

Final answer: B

Topic: Sound

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