Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Physics-

General

Easy

Question

Three particles A, B and C situated at vertices of an equilateral triangle, all moving with same constant speed such that A always move towards B, B always towards C and C always towards A. Initial seperation between each of the particle is a. O is the centroid of the triangle. Distance covered by particle A when it completes one revolution around O is

$2 a (1 - e^{- 2 \sqrt{3} π})$
$\frac{2 a}{3} (1 - e^{- 2 \sqrt{3} π})$
$a (1 + e^{- 2 \sqrt{3} π})$
$\frac{2 a}{3} (1 - e^{- \sqrt{3} π})$

The correct answer is: $fraction numerator 2 a over denominator 3 end fraction open parentheses 1 minus e to the power of negative 2 square root of 3 pi end exponent close parentheses$

$fraction numerator d r over denominator d t end fraction equals negative v c o s invisible function application 30 to the power of ring operator end exponent equals negative fraction numerator square root of 3 over denominator 2 end fraction V$
$r fraction numerator d theta over denominator d t end fraction equals vsin invisible function application 30 to the power of ring operator end exponent equals fraction numerator v over denominator 2 end fraction$
$fraction numerator 1 over denominator r end fraction fraction numerator d r over denominator d theta end fraction equals negative square root of 3$
$stretchy integral subscript r end subscript superscript r end superscript fraction numerator d r over denominator r end fraction equals negative square root of 3 stretchy integral subscript 0 end subscript superscript theta end superscript d theta rightwards double arrow r equals r subscript 0 end subscript e to the power of negative square root of 3 theta end exponent$
When A completes one revolution  = 2
Time taken t= $blank fraction numerator r subscript 0 end subscript open parentheses 1 minus e to the power of negative 2 square root of 3 pi end exponent close parentheses over denominator square root of 3 v divided by 2 end fraction$
Distance travelled D = vt = $open parentheses 1 minus e to the power of negative 2 square root of 3 pi end exponent close parentheses$
$D equals fraction numerator 2 a over denominator 3 end fraction open parentheses 1 minus e to the power of negative 2 square root of 3 pi end exponent close parentheses$

Related Questions to study

Two cars A and B moving on two straight tracks inclined at an angle 60° heading towards the crossing initially their positions are as shown in the figure. Both cars have same speed. Minimum seperation between them during their motion will be

Two cars A and B moving on two straight tracks inclined at an angle 60° heading towards the crossing initially their positions are as shown in the figure. Both cars have same speed. Minimum seperation between them during their motion will be

Physics-General

A particle is projected with speed 30m/s at angle 22.5° with horizontal from ground as shown. AB and CD are parallel to y-axis and B is highest point of trajectory of particle. CD/AB is

A particle is projected with speed 30m/s at angle 22.5° with horizontal from ground as shown. AB and CD are parallel to y-axis and B is highest point of trajectory of particle. CD/AB is

Physics-General

Each of the two block shown in the figure has mass m. The pulley is smooth and the coefficient of friction for all surfaces in contact is m. A constant horizontal force P applied in two cases shown in such a way that block A start just sliding then the value of minimum force P in case-I and case-II is :

Each of the two block shown in the figure has mass m. The pulley is smooth and the coefficient of friction for all surfaces in contact is m. A constant horizontal force P applied in two cases shown in such a way that block A start just sliding then the value of minimum force P in case-I and case-II is :

Physics-General

parallel

Thefigureshowstwoequal,positivecharges,eachofmagnitude50°C,fixedatpoints(3,0)m and(–3,0)m respectively. A charge–50^OC,movingalongnegativey–axishasakineticenergyof4Jattheinstantitcrosses point(0,4)m.Determinethepositionofthischargewherethedirectionofitsmotionreversesforthefirsttime after crossing this point (neglect gravity).

Thefigureshowstwoequal,positivecharges,eachofmagnitude50°C,fixedatpoints(3,0)m and(–3,0)m respectively. A charge–50^OC,movingalongnegativey–axishasakineticenergyof4Jattheinstantitcrosses point(0,4)m.Determinethepositionofthischargewherethedirectionofitsmotionreversesforthefirsttime after crossing this point (neglect gravity).

Physics-General

In the figure shown an infinitely long wire of uniform linear charge density is kept perpendicular to the plane of figure such that it extends upto infinity on both sides of the paper. Find the electro static force on a semicircular ringkeptsuchthatitsgeometricalaxiscoincideswiththewire.Thesemicircularringhasauniformlinearcharge density

In the figure shown an infinitely long wire of uniform linear charge density is kept perpendicular to the plane of figure such that it extends upto infinity on both sides of the paper. Find the electro static force on a semicircular ringkeptsuchthatitsgeometricalaxiscoincideswiththewire.Thesemicircularringhasauniformlinearcharge density

Physics-General

An aluminium ring B faces an electromagnet A. The current I through A can be altered

An aluminium ring B faces an electromagnet A. The current I through A can be altered

Physics-General

parallel

In the diagram shown if a bar magnet is moved along the common axis of two single turn coils A and B in the direction of arrow

In the diagram shown if a bar magnet is moved along the common axis of two single turn coils A and B in the direction of arrow

Physics-General

Lenz’s law applies to

Lenz’s law applies to

Physics-General

A metallic ring connected to a rod oscillates freely like a pendulum. If now a magnetic field is applied in horizontal direction so that the pendulum now swings through the field, the pendulum will

A metallic ring connected to a rod oscillates freely like a pendulum. If now a magnetic field is applied in horizontal direction so that the pendulum now swings through the field, the pendulum will

Physics-General

parallel

Lenz's law gives

Lenz's law gives

Physics-General

A 50 turns circular coil has a radius of $3 c m$ , it is kept in a magnetic field acting normal to the area of the coil. The magnetic field $B$ increased from 0.10 tesla to 0.35 tesla in 2 milliseconds. The average induced e.m.f. in the coil is

A 50 turns circular coil has a radius of $3 c m$ , it is kept in a magnetic field acting normal to the area of the coil. The magnetic field $B$ increased from 0.10 tesla to 0.35 tesla in 2 milliseconds. The average induced e.m.f. in the coil is

Physics-General

When a magnet is pushed in and out of a circular coil C connected to a very sensitive galvanometer G as shown in the adjoining diagram with a frequency $nu$ , then

When a magnet is pushed in and out of a circular coil C connected to a very sensitive galvanometer G as shown in the adjoining diagram with a frequency $nu$ , then

Physics-General

parallel

As shown in the figure, a magnet is moved with a fast speed towards a coil at rest. Due to this induced electromotive force, induced current and induced charge in the coil is $E comma I$ and $Q$ respectively. If the speed of the magnet is doubled, the incorrect statement is

As shown in the figure, a magnet is moved with a fast speed towards a coil at rest. Due to this induced electromotive force, induced current and induced charge in the coil is $E comma I$ and $Q$ respectively. If the speed of the magnet is doubled, the incorrect statement is

Physics-General

A metallic ring is attached with the wall of a room. When the north pole of a magnet is brought near to it, the induced current in the ring will be

A metallic ring is attached with the wall of a room. When the north pole of a magnet is brought near to it, the induced current in the ring will be

Physics-General

The length of a magnet is large compared to it's width and breadth. The time period of its oscillation in a vibration magnetometer is T. The magnet is cut along it’s length into six parts and these parts are then placed together as shown in the figure. The time period of this combination will be

The length of a magnet is large compared to it's width and breadth. The time period of its oscillation in a vibration magnetometer is T. The magnet is cut along it’s length into six parts and these parts are then placed together as shown in the figure. The time period of this combination will be

Physics-General

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.