Given that, Force = α Density + β 3 . Then the dimensions of α and β are, respectively,

[ M 2 L − 2 T − 2 ] , [ M 1 3 L - 1 ]

[ M L − 2 T − 2 ] , [ M L − 1 3 ]

[ M 2 L 4 T − 2 ] , [ M 1 3 L − 1 ]

[ M 2 L − 2 T − 2 ] , [ M L - 3 ]

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IMPORTANT

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If $n = - D [\frac{(n_{2} - n_{1})}{(x_{2} - x_{1})}]$ , where $n$ is the number of particles in a unit area perpendicular to $x$ -axis in unit time, $n_{1} and n_{2}$ are the number of particles per unit volume, $x_{2}$ and $x_{1}$ are distance of two points from any point, then the dimension of $D$ is

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Important Questions on Units and Measurement

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NEET

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 54

Given that, $Force = \frac{α}{Density + β^{3}}$ . Then the dimensions of $α$ and $β$ are, respectively,

MEDIUM

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 55

E, m, L

and

G

denote energy, mass, angular momentum and gravitational constant, respectively, then

\frac{(E L^{2})}{(m^{5} G^{2})}

has the dimensions of

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 56

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?

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 57

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

MEDIUM

NEET

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 58

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

0.1 %

. The error in the measurement of its volume is

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 59

An experiment measures quantities

a, b

and

c

, and quantity

X

is calculated from

X = \frac{a b^{2}}{c^{3}}

. If the percentage errors in

a, b

and

c

are

\pm 1 %, \pm 3 %

and

\pm 2 %

, respectively, then the percentage error in

X

will be

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 60

If the error in measuring the diameter of a circle is

4 %

, then the error in the radius of the circle will be

EASY

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 61

While measuring acceleration due to gravity by a simple pendulum, a student makes a positive error of

1 %

in the length of the pendulum and a negative error of

3 %

in the value of the time period. His percentage error in the measurement of the value of

g

will be

If n=−D(n2−n1)(x2−x1), where n is the number of particles in a unit area perpendicular to x-axis in unit time, n1 and n2 are the number of particles per unit volume, x2 and x1 are distance of two points from any point, then the dimension of D is

Important Questions on Units and Measurement

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