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A student measures the time period of 100 oscillations of a si

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A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is $90 s, 91 s, 92 s$ and $95 s$ . If the minimum division in the measuring clock is 1 , then the reported mean time should be
(a) $(92 \pm 2) s$
(b) $(92 \pm 5) s$
(c) $(92 \pm 1.8) s$
(d) $(92 \pm 3) s$

Views: 6,175 students

Updated on: Apr 19, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2016

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Sofia Discussed

A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is

90 s, 91 s, 92 s

and

95 s

. If the minimum division in the measuring clock is 1 , then the reported mean time should be
(a)

(92 \pm 2) s

(b)

(92 \pm 5) s

(c)

(92 \pm 1.8) s

(d)

(92 \pm 3) s

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

Exp. (a)
Arithmetic mean time of a oscillating simple pendulum

= \frac{\sum x _{i}}{N}

= \frac{90 + 91 + 92 + 95}{4} = 92 s

Mean deviation of a simple pendulum

= \frac{Σ ∣ x ˉ - x _{i} ∣}{N}

= \frac{2 + 1 + 3 + 0}{4} = 1.5

Given, minimum division in the measuring clock, i.e. simple pendulum

= 1 s

. Thus, the reported mean time of a oscillating simple pendulum

= (92 \pm 2) S

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Question Text	A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is $90 s, 91 s, 92 s$ and $95 s$ . If the minimum division in the measuring clock is 1 , then the reported mean time should be (a) $(92 \pm 2) s$ (b) $(92 \pm 5) s$ (c) $(92 \pm 1.8) s$ (d) $(92 \pm 3) s$
Updated On	Apr 19, 2023
Topic	Units and Measurements
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 9
Upvotes	897
Avg. Video Duration	6 min

Text solutionVerified

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A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s,91 s,92 s and 95 s. If the minimum division in the measuring clock is 1 , then the reported mean time should be(a) (92±2)s(b) (92±5)s(c) (92±1.8)s(d) (92±3)s

Text solutionVerified

Filo tutor solutions (9)

Questions from JEE Mains 2016 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from Units and Measurements in the same exam

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