Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 6

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Which of the following pairs have the same dimensions?

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Important Questions on Units and Measurement

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 7

For $10^{(at + 3)}$ , the dimensions of $a$ is (here, $t =$ time),

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 8

The unit of potential energy is_____.

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 9

The equation of state of some gases can be expressed as

(P + \frac{a}{V^{2}}) (V - b) = R T

, where

P

is the pressure,

V

is the volume,

T

is the absolute temperature and

a, b

and

R

are constants. The dimensions of

a

are

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 10

The equation of a wave is given by,

Y = A \sin ω (\frac{x}{v} - k),

where

ω

is the angular velocity,

x

is the displacement and

v

is the linear velocity. The dimensions of

k

is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 11

In a particular system, the units of length, mass and time are chosen to be

10 cm, 10 g

and

0.1 s

, respectively. The unit of force in this system will be equal to

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 12

The velocity

v

of a particle at time

t

is given by

v = a t + \frac{b}{t + c}

, where

a, b

and

c

are constants. The dimensions of

a, b

and

c

are, respectively,

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 13

If energy is given as

E = G^{p} h^{q} c^{r}

, where

G

is the universal gravitational constant,

h

is Planck's constant and

c

is the velocity of light, then the values of

p, q

and

r

are respectively?

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 2 - Units and Measurement>TOPICWISE QUESTIONS>Q 14

The Van der Waal's equation of a gas is

(P + \frac{a T^{2}}{V}) V^{c} = (R T + b)

, where

a, b, c

and

R

are constants. If the isotherm is represented by

P = A V^{m} - B V^{n}

, where

A

and

B

depends on temperature, then