Gamma Question Bank for Engineering Physics>Chapter 1 - Physical World, Units and Measurement>Assignment>Q 9

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The linear momentum $p$ of a particle is given as a function of time $t$ as $p = A t^{2} + B t + C$ . The dimensions of constant $B$ are

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Important Questions on Physical World, Units and Measurement

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Gamma Question Bank for Engineering Physics>Chapter 1 - Physical World, Units and Measurement>Assignment>Q 10

In the relation

P = \frac{α}{β} e^{- \frac{α x}{n R θ}}, P

is power,

x

is distance,

n

is number of moles,

R

is gas constant and

θ

is temperature. The dimensional formula of

β

is

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Gamma Question Bank for Engineering Physics>Chapter 1 - Physical World, Units and Measurement>Assignment>Q 11

The frequency of vibration

f

, of a mass

m

suspended from a spring of spring constant

K

, is given by a relation of this type,

f = C m^{x} K^{y}

where

C

is a dimensionless quantity. The value of

x

and

y

are

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Gamma Question Bank for Engineering Physics>Chapter 1 - Physical World, Units and Measurement>Assignment>Q 12

Given that

y = a \sin (\frac{t}{p} - q x)

, where

t

represents time in second and

x

represents distance in meter. Which of the following statement is true?

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Gamma Question Bank for Engineering Physics>Chapter 1 - Physical World, Units and Measurement>Assignment>Q 13

Imagine a system of units in which the unit of mass is

10 kg

, length is

1 km

and time is

1 \min

. Then,

1 joule

in this system, is equal to,

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Gamma Question Bank for Engineering Physics>Chapter 1 - Physical World, Units and Measurement>Assignment>Q 14

Frequency is the function of density

(ρ)

, length

(ℓ)

and surface tension

(T)

. Then its value is

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Gamma Question Bank for Engineering Physics>Chapter 1 - Physical World, Units and Measurement>Assignment>Q 15

If force

(F)

, length

(L)

and time

(T)

are assumed to be fundamental units, then the dimensional formula of the mass will be

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Gamma Question Bank for Engineering Physics>Chapter 1 - Physical World, Units and Measurement>Assignment>Q 16

The "pascal -second" has dimension of

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Gamma Question Bank for Engineering Physics>Chapter 1 - Physical World, Units and Measurement>Assignment>Q 17

Newton \times second

is the unit of: