Virtual Labs

Computing π

With 2 processes and 50 intervals, what is the estimated values of π?

a: 3.142 Explanation

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b: 3.140 Explanation

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c: 3.138 Explanation

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d: 3.136 Explanation

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With 2 processes and 50 intervals, what is the wall-clock time and process time?

a: 70 seconds, 140 seconds Explanation

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b: 25 seconds, 50 seconds Explanation

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c: 10 seconds, 20 seconds Explanation

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d: 25 seconds, 100 seconds Explanation

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With 5 processes and 50 intervals, what is the computed value of π?

a: 3.142 Explanation

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b: 3.140 Explanation

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c: 3.138 Explanation

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d: 3.136 Explanation

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With 5 processes and 50 intervals, what is the wall-clock time and process time?

a: 5 seconds, 25 seconds Explanation

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b: 25 seconds, 50 seconds Explanation

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c: 10 seconds, 20 seconds Explanation

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d: 10 seconds, 50 seconds Explanation

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With 5 processes and 100 intervals, what is the computed value of π?

a: 3.142 Explanation

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b: 3.140 Explanation

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c: 3.138 Explanation

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d: 3.136 Explanation

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With 2 processes and 100 intervals, and with both processes having a speed of 4, what is the wall-clock time and process time?

a: 20 seconds, 50 seconds Explanation

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b: 10 seconds, 20 seconds Explanation

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c: 45 seconds, 90 seconds Explanation

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d: 15 seconds, 30 seconds Explanation

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With 2 processes and 100 intervals, and with only one process having a speed of 4, what is the wall-clock time and process time?

a: 50 seconds, 65 seconds Explanation

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b: 50 seconds, 100 seconds Explanation

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c: 25 seconds, 50 seconds Explanation

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d: 40 seconds, 75 seconds Explanation

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Why might MPI be useful for large computations like finding π to high precision?

a: MPI minimizes the need for parallelism Explanation

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b: MPI uses shared memory to store results Explanation

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c: MPI allows for splitting the computation across multiple processors Explanation

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d: MPI automatically corrects errors in computation Explanation

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What impact does increasing the number of processes have on computation time?

a: It always decreases computation time linearly Explanation

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b: It initially decreases computation time but may not scale linearly due to overhead Explanation

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c: It has no effect on computation time Explanation

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d: It increases computation time due to process coordination overhead Explanation

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What is a key challenge when implementing distributed computing algorithms like this one using MPI?

a: Ensuring all processes have access to shared memory Explanation

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b: Managing data distribution and synchronization between processes Explanation

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c: Avoiding use of multiple processors Explanation

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d: Simplifying code by reducing the number of communication calls Explanation

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