Force F → applied on a body is written as F → = ( n ^ × F ^ ) · n ^ + G → , where n ^ is a unit vector. The vector G → is equal to

( n ^ × F → ) × F → | F → |

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Earn 100

The dimensions of Stefan-Boltzmann constant $σ$ can be written in terms of Planck's constant $h$ , Boltzmann constant $K_{B}$ and the speed of light $c$ as $σ = h^{α} K_{B} {}^{β}c^{γ} .$ Here

50% studentsanswered this correctly

Important Questions on Unit & Dimension

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 23 - Unit & Dimension>Exercise>Q 2

In an experiment, the mass of an object is measured by applying a known force on it, and then measuring its acceleration. If in the experiment, the measured values of applied force and the measured acceleration are

F = 10.0 \pm 0.2 N

and

a = 1.00 \pm 0.01 m s^{- 2}

respectively, the mass of the object is

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 23 - Unit & Dimension>Exercise>Q 3

Stoke's law states that the viscous drag force F experience by a sphere of radius a, moving with a speed v through a fluid with coefficient of viscosity

η,

is given by

F = 6 π η a v

. If this fluid is flowing through a cylindrical pipe of radius r, length

I

and a pressure difference of P across its two ends, then the volume of water V which flows through the pipe in time t can be written as

\frac{v}{t} = k {(\frac{p}{l})}^{a} η^{b} r^{c}

Where k is a dimensionless constant. Correct values of

a, b

and

c

are

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 23 - Unit & Dimension>Exercise>Q 4

The dimensions of the area

A

of a black hole can be written in terms of the universal constant

G

, its mass

M

and the speed of light

c

A = G^{α} M^{β} c^{γ} .

Here

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 23 - Unit & Dimension>Exercise>Q 5

The length and width of a rectangular room are measured to be

3.95 \pm 0.05 m

and

3.05 \pm 0.05 m

, respectively. The area of the floor is

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 23 - Unit & Dimension>Exercise>Q 6

Stoke's law states that the viscous drag force experienced by a sphere of radius

a

, moving with a speed

v

through a fluid with coefficient of viscosity

η

, is given by

F = 6 π η R v

. If the fluid is flowing through a cylindrical pipe of radius

r,

length

l,

and the pressure difference of

P

across its two ends, then the volume of water

V

which flows through the pipe in time

t

can be written as

\frac{V}{t} = k {(\frac{p}{l})}^{a} η^{b} r^{c}

, where

k

is a dimensionless constant. Correct values of

a, b

and

c

are

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 23 - Unit & Dimension>Exercise>Q 7

Force

\vec{F}

applied on a body is written as

\vec{F} = (\hat{n} \times \hat{F}) \cdot \hat{n} + \vec{G},

where

\hat{n}

is a unit vector. The vector

\vec{G}

is equal to

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 23 - Unit & Dimension>Exercise>Q 8

A neutron star with magnetic moment of magnitude

m

is spinning with angular velocity

ω

about its magnetic axis. The electromagnetic power

P

radiated by it is given by

μ_{0}^{x} m^{y} ω^{2} c^{u},

where

μ_{n}

and

c

are the permeability and speed of light in free space, respectively. Then

The dimensions of Stefan-Boltzmann constant σ can be written in terms of Planck's constant h, Boltzmann constant KB and the speed of light c as σ=hαKBcγβ. Here

Important Questions on Unit & Dimension

Learn and Prepare for any exam you want !

The dimensions of Stefan-Boltzmann constant $σ$ can be written in terms of Planck's constant $h$ , Boltzmann constant $K_{B}$ and the speed of light $c$ as $σ = h^{α} K_{B} {}^{β}c^{γ} .$ Here