HARD

KVPY Aptitude Test - Stream SX

IMPORTANT

Earn 100

Students $A, B$ and $C$ measure the length of a room using $25 m$ long measuring tape of least count $LC$ $0.5 cm,$ meter-scale of $LC 0.1 cm$ and a foot-scale of $LC 0.05 cm,$ respectively. If the specified length of the room is $9.5 m,$ then which of the following students will report the lowest relative error in the measured length? $(1 foot = 30.48 cm)$

15% studentsanswered this correctly

Important Questions on Physical World and Measurement

HARD

KVPY Aptitude Test - Stream SX

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 3 - Physical World and Measurement>KVPY Aptitude Test - Stream SX 2020>Q 2

The time period of a body undergoing simple harmonic motion is given by

T = p^{a} D^{b} S^{c},

where

p

is the pressure,

D

is density and

S

is surface tension. The values of

a, b

and

c

respectively are

HARD

KVPY Aptitude Test - Stream SX

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 3 - Physical World and Measurement>KVPY Aptitude Test - Stream SX 2019>Q 3

A train is moving slowly at

2 m / s

next to a railway platform. A man,

1.5 m

tall, alights from the train such that his feet are fixed on the ground. Taking him to be a rigid body, the instantaneous angular velocity (in

rad / s

) is

HARD

KVPY Aptitude Test - Stream SX

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 3 - Physical World and Measurement>KVPY Aptitude Test - Stream SX 2018>Q 4

Assume that, the drag force on a football depends only on the density of the air, velocity of the ball and the cross-sectional area of the ball. Balls of different sizes but the same density are dropped in an air column. The terminal velocity reached by balls of masses

250 g

and

125 g

are in the ratio

HARD

KVPY Aptitude Test - Stream SX

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 3 - Physical World and Measurement>KVPY Aptitude Test - Stream SX 2013>Q 8

Young - Laplace law states that the excess pressure inside a soap bubble of radius

R

is given by

∆ P = \frac{4 σ}{R}

where

σ

is the coefficient of surface tension of the soap. The

E \overset{. .}{o} tv \overset{. .}{o} s

number

E_{0}

is a dimensionless number that is used to describe the shape of bubbles rising through a surrounding fluid. It is a combination of the acceleration due to gravity

(g)

, the density of the surrounding fluid

(ρ)

and a characteristic length scale

(L)

which could be the radius of the bubble. A possible expression for

E_{0}

is:

EASY

KVPY Aptitude Test - Stream SX

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 3 - Physical World and Measurement>KVPY Aptitude Test - Stream SX (5 Nov 2017)>Q 9

A carrot looks orange in colour because of the

β

carotene molecule in it. This means that the

β

carotene molecule absorbs light of wavelengths,

MEDIUM

KVPY Aptitude Test - Stream SX

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 3 - Physical World and Measurement>KVPY Aptitude Test - Stream SX (5 Nov 2017)>Q 10

Using dimensional analysis the resistivity in terms of fundamental constants

h, m_{e}, c, e & ε_{0}

can be expressed as

MEDIUM

KVPY Aptitude Test - Stream SX

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 3 - Physical World and Measurement>KVPY Aptitude Test - Stream SX (5 Nov 2017)>Q 11

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 its 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

EASY

KVPY Aptitude Test - Stream SX

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 3 - Physical World and Measurement>KVPY Aptitude Test - Stream SX (19 Nov 2017)>Q 12

The distance

s

travelled by a particle in time

t

s = u t - \frac{1}{2} g t^{2}

. The initial velocity of the particle was measured to be

u = (1.11 \pm 0.01) m s^{- 1}

and the time interval of the experiment was

t = (1.01 \pm 0.1) s

. The acceleration was taken to be

g = (9.8 \pm 0.1) m s^{- 2}

. With these measurements, the student estimates the total distance travelled. How should the student report the result?

Important Questions on Physical World and Measurement

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