In the expression A = x y 3 z 2 the percentage error is given by

Δ x x + 3 Δ y y + 2 Δ z z × 100 %

Δ x x + 3 Δ y y - 2 Δ z z × 100 %

Δ x x - 3 Δ y y - 2 Δ z z × 100 %

Δ x x - 3 Δ y y + 2 Δ z z × 100 %

The equation 2 a x - 3 + a x + 1 + 5 - a x = 1 2 possesses

Infinite number of real solutions for some a ∈ R

Finitely many real solutions for some a ∈ R +

No real solutions for some a ∈ R

EASY

Earn 100

Define true value of measurement. The true value is $252.14$ mm and the measured value is $249.02$ mm. Find the absolute error.

Important Questions on Measurement

HARD

Mathematics>Geometry>Measurement>More on Absolute Values

Students

A, B

and

C

measure the length of a room using

25 m

long measuring tape of least count

LC

0.5 cm,

meter-scale of

LC 0.1 cm

and a foot-scale of

LC 0.05 cm,

respectively. If the specified length of the room is

9.5 m,

then which of the following students will report the lowest relative error in the measured length?

(1 foot = 30.48 cm)

EASY

Mathematics>Geometry>Measurement>More on Absolute Values

A physical quantity,

X = \frac{a^{2} b^{2}}{\sqrt{c}}

. if

%

error in

a, b

and

c

are

1 %, 2 %

and

4 %

respectively, then the

%

error in

X

EASY

Mathematics>Geometry>Measurement>More on Absolute Values

The least count of a screw gauge is

0.005 cm

. The diameter of a wire is

0.020 cm

as measured by it. The percentage error in measurement is

MEDIUM

Mathematics>Geometry>Measurement>More on Absolute Values

|\frac{12 x}{4 x^{2} + 9}| \leq 1

, then

EASY

Mathematics>Geometry>Measurement>More on Absolute Values

The difference between the true value and measured value is called

HARD

Mathematics>Geometry>Measurement>More on Absolute Values

The solution of

|2 x - 3| < |x + 2|

EASY

Mathematics>Geometry>Measurement>More on Absolute Values

In the expression ^{$A = \frac{x y^{3}}{z^{2}}$} the percentage error is given by

HARD

Mathematics>Geometry>Measurement>More on Absolute Values

A student performed the experiment of determination of focal length of a concave mirror by

u - v

method using an optical bench of

1.5 m

. The focal length of the mirror used is

24 cm

. The maximum error in the location of the image can be

0.2 cm

. The five sets of

(u, v)

values recorded by the student in (cm) are

(42, 56), (48, 48), (60, 40), (66, 33), (78, 39)

. The data set(s) that cannot come from experiments and is (are) incorrectly recorded, is(are)

MEDIUM

Mathematics>Geometry>Measurement>More on Absolute Values

The percentage errors in the measurement of mass and speed are

2 %

and

3 %

, respectively. How much will be the maximum error in the estimation of kinetic energy obtained by measuring mass and speed?

HARD

Mathematics>Geometry>Measurement>More on Absolute Values

The equation

|2 a x - 3| + |a x + 1| + |5 - a x| = \frac{1}{2}

possesses

MEDIUM

Mathematics>Geometry>Measurement>More on Absolute Values

The error in the measurement of the sides of a rectangle is

1 %

. The error in the measurement of its area is

EASY

Mathematics>Geometry>Measurement>More on Absolute Values

The formula for percentage error is

MEDIUM

Mathematics>Geometry>Measurement>More on Absolute Values

The error in the measurement of the radius of a sphere is

0.1 %

. The error in the measurement of its volume is

EASY

Mathematics>Geometry>Measurement>More on Absolute Values

The thickness of a paper measured by micrometer screw gauge of least count

0.01 mm

1.03 mm

. The percentage error in the measurement of thickness of paper is,

EASY

Mathematics>Geometry>Measurement>More on Absolute Values

What is the area of a circle (with due regards for significant figures) is the radius of the circle is

2.12 m^{2}

HARD

Mathematics>Geometry>Measurement>More on Absolute Values

f_{1} (x) = | | x | - 2 |

and

f_{n} (x) = |f_{n - 1} (x) - 2|

for all

n \geq 2, n \in N,

then number of solution of the equation

f_{2015} (x) = 2

HARD

Mathematics>Geometry>Measurement>More on Absolute Values

|x^{2} - 2 x - 8| + |x^{2} + x - 2| = 3 | x + 2 |

, then the set of all real values of

x

MEDIUM

Mathematics>Geometry>Measurement>More on Absolute Values

The uncertainty in measurement is called as _____.

EASY

Mathematics>Geometry>Measurement>More on Absolute Values

A time interval of

3.1 s

is recorded by a stop-watch whose least count is

0.1 s

. The limits between which the interval lies is.

MEDIUM

Mathematics>Geometry>Measurement>More on Absolute Values

The density of a cube is measured by measuring its mass and the length of its side. If the maximum errors in the measurement of mass and length are

4 %

and

3 %

, respectively, then the maximum error in the measurement of the density is

Define true value of measurement. The true value is 252.14 mm and the measured value is 249.02 mm. Find the absolute error.

Important Questions on Measurement

Learn and Prepare for any exam you want !

Define true value of measurement. The true value is $252.14$ mm and the measured value is $249.02$ mm. Find the absolute error.