Home
Class 11
PHYSICS
A student uses a metre scale, measuring ...

A student uses a metre scale, measuring upto 1 mm, to measure the length and breadth of a rectangular plate. He finds that length = 5.7 cm and breadth = 3.4 cm. What is the percentage error in the area of the plate ?

A

`3.5%`

B

`4.7%`

C

`5.3%`

D

`6.2%`

Text Solution

Verified by Experts

The correct Answer is:
b
Area of the plate = `A=lxxb`
and `deltal=deltab=1` mm = 0.1 cm
The percentage error in A is given by
`((deltaA)/(A))xx100=((deltal)/(l))xx100+((deltab)/(b))xx100`
`therefore ((deltaA)/(A))xx100=((0.1)/(5.7))xx100+((0.1)/(3.4))xx100`
`=1.8%+2.9%=4.7%`
[The figures are rounded of to the first decimal place.]
Promotional Banner

Topper's Solved these Questions

  • MEASUREMENTS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

  • MAGNETISM

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

  • RAY OPTICS (MIRRORS, LENSES AND OPTICAL INSTRUMENTS)

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

Similar Questions

Explore conceptually related problems

The measures of length and breadth of a rectangle are l=(30.0pm0.2) cm and b=(10.0pm0.1) cm. What is the percentage error and absolute error in area?

Find the area of a rectangle whose length is 5.7cm and breadth is 3.5cm.

An external force of 20 N acts normally on a rectangular plate of length 20 cm and breadth 10 cm. What is the maximum stress produced in the plate ?

The lengths and breadth of a rectangle are (5.7 +- 0.1)cm and (2.4 +- 0.2) cm. Calculate area of the rectangle with error limits.

Find area and perimeter of rectangle with length 5 cm and breadth 6 cm

Find the area of rectangle whose length is 5.7cm and breadth is 3cm.

A plate has a length ( 5pm 0.1 ) cm and breadth (2pm 0.01) cm . Then the area of the plate is

The length and breadth of a rectangular garden is 12 cm and 9 cm. What will be the area of the rectangular garden?

The length of a rectangle is 7.1cm and its breadth is 2.5cm. What is the area of the rectangle?

The percentage errors in the measurement of the length (L) and breadth (B) of a rectangle are 1% and b% respectively . Then the percentage error in the calculation of the area will be "_______"