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This mock test of Test: Significant Figures And Dimensions for Class 11 helps you for every Class 11 entrance exam.
This contains 20 Multiple Choice Questions for Class 11 Test: Significant Figures And Dimensions (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Two gold pieces, each of mass 0.035g, are placed in a box of mass 2.3 g. The total mass of the box with gold piece is

Solution:

(2.3 + 0.035 + 0.035 ) g = 2.37 g

But we have to retain only one decimal place.

So, the total mass is 2.4 g

QUESTION: 2

Dimensions cannot be used to

Solution:

Dimensional analysis can be done for deducing relations among interdependent physical quantities but dimensionless constant cannot be determined by this method.

QUESTION: 3

Find the option with 3 significant figures.

Solution:

0.0268 have three significant figures where as 2.608 cm, 26.08 mm and 2.068 cm have four significant figures.

QUESTION: 4

Which of the following physical quantities has different dimensions?

Solution:

QUESTION: 5

If radian correction is not considered in specific heat measurement. The measured value of specific heat will be

Solution:

If radian correction is not considered in specific heat measurement. The measured value of specific heat will be. more than its actual value. less than its actual value.

QUESTION: 6

What is the number of significant figures in 0.310×10^{3} ?

Solution:

Number of significant figures are 3, because 10^{3} is decimal multiplier

QUESTION: 7

The number of significant figures in the distance of one light year , 9.4605 × 10^{15} m is

Solution:

As the power of 10 is irrelevant in the determination of significant figures hence, the numbers of significant figures are 5.

QUESTION: 8

The numbers of significant figures in 1.84 x10^{-27} kg are:

Solution:

As the given number is itself written in the format of powers of ten, it is very obvious that all the non significant zeros are considered by the power of the and hence all the rest digits that are 3 in number are significant.

QUESTION: 9

The multiplication of 10.610 with 0.210 upto correct number of significant figure is

Solution:

The multiplication of the numbers 10.610×0.210=2.2281

Since, the numbers 10.610 and 0.210 have 5 and 3 significant digits, respectively. So, the final result must also have 3 significant digits.

The final answer is 2.23

QUESTION: 10

Numbers of significant figures in the volume of a cube of side 6.103 m are:

Solution:

As zero lies between two non zero numbers hence it is also counted and hence the number of significant digits comes out to be 4

QUESTION: 11

Magnitude of force F experienced by a certain object moving with speed v is given by F = Kv^{3}, where K is a constant. The dimensions of K are

Solution:

QUESTION: 12

The order of magnitude of a number expressed in scientific notation is

Solution:

To convert a regular number to scientific notation, we first rewrite it as a decimal, then multiply it by a power of 10. There is an infinite number of ways to do this for any given number, but we always prefer the one that has only a single digit in front of the decimal point.

QUESTION: 13

The numbers of significant figures in 9.1 x10^{-31} kg are:

Solution:

As the power of 10 is irrelevant to the determination of significant figures hence, the numbers of significant figures are 2 (9 and 1).

QUESTION: 14

Which of the quantity is dimensionless?

Solution:

Among all the given quantities, work force and area can be expressed as products of some quantities which have non zero dimension, but angle is defined as the ratio of arc length to radius which is hence dimensionless.

QUESTION: 15

Three students measured length of a needle with meter rod and recorded as :

(i) 0.2145m

(ii) 0.21m

(iii) 0.214m

Which one is correct record?

Solution:

QUESTION: 16

After decimal point, number is less than 5 which is to be neglected,then retained number

Solution:

QUESTION: 17

Mary bought a tank whose dimensions are 5.6cm, 8.2cm and 12.8 cm. The volume of water (in cm³) that can be stored in tank (correct up to four significant figures) is

Solution:

QUESTION: 18

Three physical quantity having dimensions [ML^{-1}T^{-2}] are.

Solution:

Pressure = Force/Area = ML^{1}T^{-2}/ L^{2} = [M L^{-1} T^{-2}]

Stress = Force/Area = ML^{1}T^{-2}/ L^{2} = [ML^{-1}T^{-2}]

Coefficient of elasticity = Stress/strain = [ML^{-1}T^{-2}]

QUESTION: 19

Find the option with 5 significant figures

Solution:

For the a and c we only have 4 significant figures in the number, while in option b we have only three as zeros before the non zero digits are also counted insignificant. While the number in option d has 5 significant figures.

QUESTION: 20

A dimensionless quantity

Solution:

A dimensionless quantity has no dimensions but it may or may not have units. Two very common examples of dimensionless quantities are refractive index which does not have any units and angle which has units (degrees, radians).

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