Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

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

The moments of inertia of two freely rotating bodies $A$ and $B$ are $I subscript A end subscript$ and $I subscript B end subscript$ respectively. $I subscript A end subscript greater than I subscript B end subscript$ and their angular momenta are equal. If $K subscript A end subscript$ and $K subscript B end subscript$ are their kinetic energies, then

$K_{A} = K_{B}$
$K_{A} \neq K_{B}$
$K_{A} < K_{B}$
$K_{A} = 2 K_{B}$

The correct answer is: $K subscript A end subscript less than K subscript B end subscript$

Kinetic energy $E equals fraction numerator L to the power of 2 end exponent over denominator 2 I end fraction$
If angular momenta are equal, then $E proportional to fraction numerator 1 over denominator I end fraction$
Kinetic energy $E equals K$ (given in problem)
If $I subscript A end subscript greater than I subscript B end subscript$ then $K subscript A end subscript less than K subscript B end subscript$ .

Related Questions to study

Famous palaeonotologist/Palaeobotanist of India was:

Famous palaeonotologist/Palaeobotanist of India was:

A small object of uniform density roll up a curved surface with an initial velocity $v$ . If reaches up to a maximum height of $fraction numerator 3 v to the power of 2 end exponent over denominator 4 g end fraction$ with respect to the initial position. The object is

A small object of uniform density roll up a curved surface with an initial velocity $v$ . If reaches up to a maximum height of $fraction numerator 3 v to the power of 2 end exponent over denominator 4 g end fraction$ with respect to the initial position. The object is

physics-General

A uniform rod $A B$ of length $l$ and mass $m$ is free to rotate about point $A$ . The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about $A$ is $fraction numerator m l to the power of 2 end exponent over denominator 3 end fraction$ , the initial angular acceleration of the rod will be

A uniform rod $A B$ of length $l$ and mass $m$ is free to rotate about point $A$ . The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about $A$ is $fraction numerator m l to the power of 2 end exponent over denominator 3 end fraction$ , the initial angular acceleration of the rod will be

physics-General

parallel

A particle of mass $m$ moves in the $X Y$ plane with a velocity $v$ along the straight line $A B$ . If the angular momentum of the particle with respect to origin $O$ is $L subscript A end subscript$ when it is at $A$ and $L subscript B end subscript$ when it is at $B$ , then

A particle of mass $m$ moves in the $X Y$ plane with a velocity $v$ along the straight line $A B$ . If the angular momentum of the particle with respect to origin $O$ is $L subscript A end subscript$ when it is at $A$ and $L subscript B end subscript$ when it is at $B$ , then

physics-General

Assertion (A): If the system of equations $3 x minus 2 y plus z equals 0 comma lambda x minus 14 y plus 15 z equals 0 comma x plus 2 y minus 3 z equals 0$ have non zero solution then $lambda equals 5$
Reason (R): If the system of equations $A X equals 0$ has a non zero solution then $bold italic A$ is singular

Assertion (A): If the system of equations $3 x minus 2 y plus z equals 0 comma lambda x minus 14 y plus 15 z equals 0 comma x plus 2 y minus 3 z equals 0$ have non zero solution then $lambda equals 5$
Reason (R): If the system of equations $A X equals 0$ has a non zero solution then $bold italic A$ is singular

Consider a body, shown in figure, consisting of two identical balls, each of mass $M$ connected by a light rigid rod. If an impulse $J equals M v$ is impared to the body at one of its ends, what would be its angular velocity?

Consider a body, shown in figure, consisting of two identical balls, each of mass $M$ connected by a light rigid rod. If an impulse $J equals M v$ is impared to the body at one of its ends, what would be its angular velocity?

physics-General

parallel

A binary star consists of two stars $A$ (mass 2.2 $M subscript s end subscript$ ) and B (mass 11 $M subscript s end subscript$ ), where $M subscript s end subscript$ is the mass of the sun. They are separated by distance $d$ and are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star $B$ about the centre of mass is

A binary star consists of two stars $A$ (mass 2.2 $M subscript s end subscript$ ) and B (mass 11 $M subscript s end subscript$ ), where $M subscript s end subscript$ is the mass of the sun. They are separated by distance $d$ and are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star $B$ about the centre of mass is

physics-General

A force of- F $stack k with hat on top$ acts on $O$ , the origin of the coordinate system. The torque about the point 1, -(a) is

A force of- F $stack k with hat on top$ acts on $O$ , the origin of the coordinate system. The torque about the point 1, -(a) is

physics-General

The area of the region bounded by y=|x-1| and y=1 in sq. units is

For such questions, we should know area of different shapes.

The area of the region bounded by y=|x-1| and y=1 in sq. units is

For such questions, we should know area of different shapes.

parallel

The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively

For such questions, we should know the formula of area of different shapes.

The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively

For such questions, we should know the formula of area of different shapes.

A solid sphere of radius $R$ has moment of inertia $I$ about its geometrical axis. If it is melted into a disc of radius $r$ and thickness $t$ . If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to $I$ , then the value of $r$ is equal to

A solid sphere of radius $R$ has moment of inertia $I$ about its geometrical axis. If it is melted into a disc of radius $r$ and thickness $t$ . If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to $I$ , then the value of $r$ is equal to

physics-General

The area of the region bounded by y= $1 plus open vertical bar x close vertical bar$ and the x-axis is

The area of the region bounded by y= $1 plus open vertical bar x close vertical bar$ and the x-axis is

parallel

Area of the region bounded by y $equals open vertical bar x close vertical bar blank a n d blank y equals 1 minus open vertical bar x close vertical bar blank$ is

Area of the region bounded by y $equals open vertical bar x close vertical bar blank a n d blank y equals 1 minus open vertical bar x close vertical bar blank$ is

Area of the region bounded by y= $open vertical bar x close vertical bar blank$ and y=2 is

Area of the region bounded by y= $open vertical bar x close vertical bar blank$ and y=2 is

The area bounded by y=cos x, y=x+1 and y=0 in the second quadrant is

The area bounded by y=cos x, y=x+1 and y=0 in the second quadrant is

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.