Physics

# In a experiment to measure the height of a bridge by dropping a stone into water underneath,if the error in the measurement of times is $0.1s$ at the end of $2s$,then the error in the estimation of the height of the bridge will be

$1.96m$

##### SOLUTION
$\dfrac{1}{2}gt^2=H$
differentiation
$\dfrac{1}{2}\times g\times (2t)\times dt=dH$
$gtdt=dH$
$dt=$ error in time
$dx=$cross in H
$9.8\times 2\times\dfrac{1}{10}=dH$
$1.96=dH$

You're just one step away

Single Correct Medium Published on 18th 08, 2020
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 199

#### Realted Questions

Q1 Subjective Medium
What is the dimensional formula of surface tension?

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q2 Single Correct Medium
If $a, b, c$ are the percentage errors in the measurement of $A, B, C$ then percentage error in $ABC$ would be
• A. $abc$
• B. $a+b+c$
• C. $ab+bc+ca$
• D. $a-b-c$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q3 Subjective Medium
Describe the method in steps to find the area of an irregular lamina using a graph paper.

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q4 Single Correct Medium
The velocity $v$ (in m/s) of a particle is given in terms of time t (in seconds) by the equation, $v=at+\dfrac { b }{ \left( t+c \right) }$. The dimensions of $a , b, c$ are:
• A. $L, T, { LT }^{ 2 }$
• B. ${ LT }^{ 2 }, LT, L$
• C. ${ LT }^{ -2 }, L, T$
• D. ${ L }^{ 2 }, LT, { T }^{ 2 }$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q5 Single Correct Medium
What is the value of $1$ fermi in $m$?
• A. $10^{-3}$
• B. $10^{-6}$
• C. $10^{15}$
• D. $10^{-15}$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020