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Switching and Performance Metrics

GATE CSE 2022 · Q59

NAT2 marksEasy

Time

Consider a 100 Mbps link between an earth station (sender) and a satellite (receiver) at an altitude of 2100 km. The signal propagates at a speed of 3×1083 \times 10^8 m/s. The time taken (in milliseconds, *rounded off to two decimal places*) for the receiver to completely receive a packet of 1000 bytes transmitted by the sender is _________.

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Solution

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Official answer: 7.08 (±0.01) (±0.01)

Switching and Performance Metrics

To completely receive the packet, the total time required is the sum of the transmission time (TtT_t) and the propagation time (TpT_p):

Total Time=Tt+Tp\text{Total Time} = T_t + T_p
  1. Transmission Delay (TtT_t):

    Tt=Packet SizeBandwidth=1000×8 bits100×106 bps=8000108 s=8×10−5 s=0.08 msT_t = \frac{\text{Packet Size}}{\text{Bandwidth}} = \frac{1000 \times 8\text{ bits}}{100 \times 10^6\text{ bps}} = \frac{8000}{10^8}\text{ s} = 8 \times 10^{-5}\text{ s} = 0.08\text{ ms}
  2. Propagation Delay (TpT_p):

    Tp=DistancePropagation Speed=2100×103 m3×108 m/s=2.1×1063×108 s=7×10−3 s=7.00 msT_p = \frac{\text{Distance}}{\text{Propagation Speed}} = \frac{2100 \times 10^3\text{ m}}{3 \times 10^8\text{ m/s}} = \frac{2.1 \times 10^6}{3 \times 10^8}\text{ s} = 7 \times 10^{-3}\text{ s} = 7.00\text{ ms}
  3. Total Time:

    Total Time=0.08 ms+7.00 ms=7.08 ms\text{Total Time} = 0.08\text{ ms} + 7.00\text{ ms} = 7.08\text{ ms}

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This Switching and Performance Metrics previous year question is Q59 of the GATE CSE 2022 paper. Find more GATE CSE PYQs on Switching and Performance Metrics in Computer Networks, or browse all GATE CSE PYQs.

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Switching and Performance Metrics in GATE CSE

Switching and Performance Metrics has 11 GATE CSE PYQs across 9 papers from 2013 to 2026. 3 of them are 2-mark NAT questions like this one, and it is the only one in GATE CSE 2022.

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GateAI solution cardGATE CSE 2022 · Q59 · NAT

Consider a 100 Mbps link between an earth station (sender) and a satellite (receiver) at an altitude of 2100 km. The signal propagates at a speed of 3 × 108 m/s. The time taken (in milliseconds, *rounded off to two decimal places*) for the receiver to completely receive a packet of 1000 bytes transmitted by the sender is …

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