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IIT JEE Super Course in Physics Mechanics I by Trishna Knowledge Systems

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IIT JEE Super Course in Physics Mechanics I by Trishna Knowledge Systems

Physics Galaxy Thermodynamics, Oscillations and Waves Vol 2 by Ashish Arora

CBSE New Pattern Biology Class 12 for 2021-22 Exam MCQs based book for Term 1 by Rakhi Bisht

Inorganic Chemistry for IIT JEE Main and Advanced by Vineet Agarwal

Physical Chemistry II for IIT JEE Main and Advance by Ranveer Singh

Oswaal CBSE MCQs Chapterwise For Term I II, Class 12, Biology by Oswaal Editorial Board

Physics for JEE Main and Advanced Magnetism and EMI by Shashi Bhushan Tiwari

Trueman's Biology for NEET by Dr Arvind Goyal Vol 1

IIT-JEE Super Course in Mathematics - Coordinate Geometry and Vector Algebra by Trishna Knowledge Systems

Problems in Inorganic Chemistry for JEE Main & Advanced by V.K. Jaiswal

CBSE New Pattern Biology Class 11 for 2021-22 Exam MCQs based book for Term 1 by Sanubia Salim, Yukta Khatri

Waves And Thermodynamics by DC Pandey

Physics Galaxy Magnetism, EMI Alternating Current Vol 3 B by Ashish Arora

IIT JEE Super Course in Chemistry: Inorganic Chemistry by Trishna Knowledge Systems

IIT JEE Super Course in Physics Mechanics II by Trishna Knowledge Systems

CBSE New Pattern Biology Class 11 for 2021-22 Exam MCQs based book for Term 2 by Sanubia Salim, Yukta Khatri

Physics for JEE Main and Advanced Mechanics 2 by Shashi Bhushan Tiwari

Physics Galaxy Electrostatics and Current Electricity Vol 3 A by Ashish Arora

IIT-JEE Super Course in Mathematics - Algebra II by Trishna Knowledge Systems

Physical Chemistry I for IIT JEE Main and Advanced by Ranveer Singh

Optics And Modern Physics by DC Pandey

IIT-JEE Super Course in Mathematics -Algebra I by Trishna Knowledge Systems

Problems in Physics I for IIT JEE by Shashi Bhushan Tiwari

Problems in Physics II for IIT JEE by Shashi Bhushan Tiwari

IIT-JEE Super Course in Mathematics - Calculus by Trishna Knowledge Systems

Physics Galaxy Optics and Modern Physics Vol 4 by Ashish Arora

Arihant JEE Main Chapterwise Solutions Mathematics (2019-2002)

Mechanics Volume 1 by DC Pandey

Electricity and Magnetism by DC Pandey

Arihant Physics JEE Main Chapterwise Solutions (2019-2002)

Physics for JEE Main and Advanced Mechanics 1 by Shashi Bhushan Tiwari

Arihant Chemistry JEE Main Chapterwise Solutions (2019-2002)

Organic Chemistry for the IIT JEE by Atul Singhal

Oswaal CBSE Question Bank Class 12 Biology Chapterwise and Topicwise by Oswaal Editorial Board

Advanced Problems in Organic Chemistry for JEE by M.S. Chouhan

Chapterwise DPP Sheets for Biology NEET by Disha Experts

Biology-for-NEET-Volume-2-Class-XII by Career Point

Physics Galaxy Thermodynamics

NEET Question Bank i Biology for AIIMS by Ekta Bhagat

Mechanics Volume 2 by DC Pandey

Physics Galaxy Magnetism

Advanced Problems in Mathematics for JEE (Main & Advanced) by Vikas Gupta

Advance Problem in Organic Chemistry by Himanshu Pandey

IIT JEE Advanced Comprehensive Chemistry by K.L.Kapoor

33 Years NEET-AIPMT Chapterwise Solutions - Biology 2020

Problems and Solutions in Physical Chemistry for JEE (Main and Advanced) by Neeraj Kumar

Biology-for-NEET-Volume-1-Class-XI by Career Point

Dr. Ali Objective Biology Vol 1

Modern ABC Biology Class 11 Part 1 by Dr. B. B. Arora, A.K. Sabharwal

Master Resource Book in JEE Main Physics by D. B. Singh

Xtract Objective Biology for NEET

New Pattern JEE Problems Chemistry for JEE Main and Advance( Master Problem Package)

topic

System of Particles and Rotational Motion

Units and Measurements

Motion in Straight Line

Laws of motion

Motion in a Plane

difficulty

easy

medium

hard

Solutions for IIT JEE Super Course in Physics Mechanics I by Trishna Knowledge Systems

Views: 6,025

A wire of length

ℓ

, is bent into a coil of radius

b

and is held in a magnetic field

B

with the plane of the coil normal to the field. A current i is sent through the coil. Which of the following are dimensionally correct?

The magnetic field $B = \frac{μ _{0} i}{b}$ where $i$ is current
The magnetic flux $ϕ = \frac{μ _{0} i ℓ}{b}$
The magnetic energy $U = μ_{0} ℓ i^{2}$
the torque on the coil $τ = \frac{μ _{0} i ^{2}}{2 b ^{2}}$

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

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Views: 5,637

The phase velocity of a surface wave of wave length

λ

on a liquid of surface tension

T

ρ

v_{p} = [\frac{x λ}{2 π} + \frac{2 π T}{ρ y}] .

the SI unit of $x$ is $m^{2} s^{- 2}$
the quantity $y$ has the dimensions of $M^{0} L^{1} T^{0}$
the operation $x λ + \frac{T}{ρ y}$ is not possible
the dimensional formula for $xy$ is $L^{2} T^{- 2}$

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View solution

Views: 6,026

Match the columns, dimensionally. symbols used

B \to

magnetic field,

L \to

C \to

R \to

V \to

\to

ℓ \to

length of a rod Column I Column II (a)

RC

MLT^{- 2}

CV^{2}

T

(c) L/R (r) One or more terms has

[I^{x}]

in its dimension

(x \to

)

ℓ

ML^{2} T^{- 2}

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View solution

Views: 5,797

Viscosity is measured in

Ns m^{- 2}

in SI units. The number of equivalent CGS unit (poise) for

1 SI

$0.1$
10
20
100

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View 2 solutions

Views: 6,036

Viscosity is measured in

Ns m^{- 2}

in SI units. The number of equivalent CGS unit (poise) for

1 SI

$0.1$
10
20
100

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View solution

Views: 5,290

Specific heat of water is

4200 J kg^{- 1} K^{- 1}

. It is equivalent to

x cal g^{- 1}^{\circ} C^{- 1}

x

(1 cal = 4.2 J)

1
$2.2$
$4.2$
$4.8$

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View solution

Views: 5,959

Let one kilowatt hour be taken as one unit of energy denoted by

u

. The work done by a force of

5 N

producing a displacement of

1 km

$\frac{1}{720} u$
$\frac{1}{120} u$
$\frac{1}{36} \times 1 0^{3} u$
$5 \times 1 0^{3} u$

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View solution

Views: 5,342

The potential energy

U

of a particle varies with distance

x

from a fixed origin as

U = \frac{a x}{b + x ^{3}}

b

are constants. Then,

the dimensional formula for a is $ML^{\frac{9}{2}} T^{- 2}$
the dimensional formula for $\frac{a}{b}$ is $ML^{\frac{3}{2}} T^{- 1}$
the operation $(a + b)$ is permissible.
the operation $x + b^{\frac{1}{3}}$ is not possible.

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View 2 solutions

Views: 6,079

F

due to an airplane propeller is dependent on the following parameters: angular velocity

ω

, speed of advance

v_{0}

, propeller diameter

D

, air viscosity

μ

ρ

and velocity of sound

c

. Which of the following is not correct?

the group of parameters formed as $\frac{F}{ρ ω ^{2} D ^{4}}$ is dimensionless
$\frac{ρ ω D ^{2}}{μ}$ is a dimensionless quantity
The parameters which do not have the dimension of mass are $ω, v_{0}, D, c$ and $μ$ .
The parameters which have the dimension of length are $F, v_{0}, D, c, μ$ and $ρ$

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View solution

Question 10

Views: 5,530

The dimensional formula of

\frac{μ _{0}}{B ^{2}}

μ_{0} =

Permeability of free space and

B =

magnetic field, is

$M^{- 1} LT^{2}$
$M^{- 1} L^{- 1} T$
$M^{- 1} L^{- 2} T^{2}$
$M^{- 1} L^{- 1} T^{2}$

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View solution

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Question 11

Views: 5,422

An equation, derived from physical laws, is expressed as

\frac{A}{B ^{2}} + C = 0

A

B

have the dimensions of capacitance and magnetic field respectively. What is the dimensional formula of

C

in mass, length, time, charge system?

$M^{- 3} L^{- 2} T^{4} Q$
$M^{- 2} L^{- 2} T^{3} Q^{4}$
$M^{- 3} L^{- 1} T^{3} Q^{4}$
$M^{- 3} L^{- 2} T^{4} Q^{4}$

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View solution

Question 12

Views: 5,810

The dot product of three vectors

\overline{A}, \overline{B}

d \overset{ˉ}{ℓ}

(\overline{B} \times d \overset{ˉ}{ℓ}) \cdot \overline{A}

\overline{B}

is magnetic field,

d \overset{ˉ}{ℓ}

is the displacement. This dot product represents electromotive force (emf). The SI unit of the vector quantity

\overline{A}

newton
newton per coulomb
metre second $^{- 1}$
metre second $^{- 2}$

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View 2 solutions

Question 13

Views: 5,458

The Lagrange's equation of motion for a planet orbiting the Sun is written as the differential equation

P \frac{d ^{2} u}{d θ ^{2}} = \frac{GMm ^{2}}{P} - \frac{P}{r}

r =

u = \frac{1}{r}, θ =

angle in radian,

G =

the universal gravitational constant,

m = mass

of the Sun. The quantity

P

has the dimensions of

Time period
Momentum
Angular momentum
Force

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View solution

Question 14

Views: 5,893

The unsteady state heat conduction in a solid medium is represented by the equation

\frac{\partial ^{2} T}{\partial x ^{2}} + \frac{Q}{A} = \frac{BC}{A} (\frac{\partial T}{\partial t})

T

is temperature,

x

X

Q

is the rate of energy generation per unit volume of the medium,

C

the specific heat capacity on mass basis and

t

is the time. The dimensional representation of

A

$MLT^{- 2} Θ^{- 1}$
$ML^{3} T^{- 1} Θ^{- 1}$
$MLT^{- 3} Θ^{- 1}$
$ML^{3} T^{- 3} Θ^{- 1}$

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View solution

Question 15

Views: 5,288

In the above question the SI unit of the quantity B is

$kg$
$m^{3}$
$kg m^{- 3}$
$J s^{- 1}$

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View solution

Question 16

Views: 6,117

d

in the equation

d = \frac{16 I ρ}{π Bv}

, where, I is current,

ρ

electrical resistivity, B magnetic field, velocity, may represent

mass density
diameter
relative density
area

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View solution

Question 17

Views: 6,058

The following differential equation arises in the Rutherford's scattering experiment.

\frac{d ^{2} x}{dt ^{2}} = \frac{aB}{J} (cos ψ) \frac{d ^{y}}{dt}

F = \frac{B}{r ^{2}}

F

r

distance from the origin,

x

X

J

the angular momentum,

ψ

t

is time. The dimensional representation of the parameter a is

$M^{0} L^{0} T^{- 1}$
$M^{0} LT^{- 2}$
$M^{0} L^{0} T^{0}$
$ML^{- 1} T^{0}$

Topic:

Physical World

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View 2 solutions

Question 18

Views: 5,256

The volume flow rate

Q

of a fluid is given by the equation

Q = p \int_{0}^{H} L x^{\frac{1}{2}} dx

L

is channel width,

x

X

H

the height of the channel. The parameter

p

has the SI unit

$m s^{- 1}$
$m s^{- 2}$
$m^{\frac{1}{2}} s^{- 1}$
$m^{- \frac{1}{2}} s^{- 1}$

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View solution

Question 19

Views: 5,772

The Clausius-Clapeyron equation is written as

\frac{dp}{dT} = \frac{L}{( v _{1} - v _{2} ) T}

p

T =

Boiling point temperature,

L =

latent heat of vapourisation. The parameters

v_{1}, v_{2}

must have the dimensions of

$ML^{- 3} Θ^{0}$
$M^{- 3} L Θ^{- 1}$
$M^{- 1} L^{3} Θ^{0}$
$M^{0} L Θ^{- 1}$

Topic:

Units and Measurements

Book:

IIT JEE Super Course in Physics Mechanics I (Pearson)

View solution

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