Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

The focal length f of a mirror is given by 1/f=1/u+1/v where u and v represent object and image distances respectively. Find relative error in calculation of focal length if u & v are (100 ± 3)cm and (200 ± 4)cm respectively
Asked by kdimple765 | 09 Jun, 2022, 05:07: PM
answered-by-expert Expert Answer
begin mathsize 14px style 1 over f equals space 1 over u plus 1 over v end style
begin mathsize 14px style f space equals space fraction numerator u space v over denominator u space plus space v end fraction end style
 
By taking logarithm on both sides of above expression
 
ln(f) = ln( u ) + ln ( v ) - ln(u+v)
 
If we differentiate above expression, we get
 
begin mathsize 14px style fraction numerator d f over denominator f end fraction space equals space fraction numerator d u over denominator u end fraction plus fraction numerator d v over denominator v end fraction space minus fraction numerator d left parenthesis u plus v right parenthesis over denominator u plus v end fraction end style
 
du/u = 3/100  ;   dv/v = 4/200 ;  d(u+v) = du + dv = 3+4 = 7
 
 
begin mathsize 14px style fraction numerator d f over denominator f end fraction space equals space 3 over 100 plus 4 over 200 space minus 7 over 300 space equals space 2 over 75 space equals space 0.027 end style
Answered by Thiyagarajan K | 09 Jun, 2022, 08:40: PM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 11-science - Physics
name to fundamental forces in nature
question image
Asked by sanketnaik338 | 04 Oct, 2023, 09:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
Calculate the angle of (a) , 1°(b) 1`(minute of arc or arcmin) and (c) 1``(second of arc second) in radius. Use 360°=2π rad, 1°=60` and 1`=60``.
Asked by mayankvaram96 | 01 Oct, 2023, 06:01: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
if the momentum of body decreases by 30% its kinetic energy decreased by
question image
Asked by bhargavchary19 | 23 Dec, 2022, 07:33: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
1. EXPLAIN HOW TO MEASURE DISTANCES USING THE PARALLAX METHOD (BCZ IT IS CONFUSING). 2. HOW DID THE MOLECULAR DISTANCE HAS BEEN FOUND USING THAT ACID(WHOLE PROCEDURE)?
Asked by muhammadkp356 | 16 Oct, 2022, 09:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
The focal length f of a mirror is given by 1/f=1/u+1/v where u and v represent object and image distances respectively. Find relative error in calculation of focal length if u & v are (100 ± 3)cm and (200 ± 4)cm respectively
Asked by kdimple765 | 09 Jun, 2022, 05:07: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
error
Asked by rajveermundel7 | 18 May, 2022, 09:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
log (1.759÷0.236)
Asked by duritanaik | 03 May, 2022, 08:59: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
f r of a wire is increased by 50 and potential difference decreased by 50% then find the percentage change in current
Asked by imayushanand223 | 29 Dec, 2021, 08:49: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
define error
Asked by vithalsawant119 | 24 Nov, 2021, 09:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum error in the estimate of kinetic energy obtained by measuring mass and speed?
Asked by anupchan2005 | 03 Sep, 2021, 10:20: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Grab Our Exam Special Offer-Enrol now!
×