Physics-
General
Easy

Question

A square of side 'a' is cut from a square of side '2a' as shown in the figure. Mass of this square with hole is M. Then its moment of inertia about an axis passing through its CM and perpendicular to its plane will be –

  1. fraction numerator M a to the power of 2 end exponent over denominator 6 end fraction  
  2. fraction numerator 2 M a to the power of 2 end exponent over denominator 6 end fraction  
  3. fraction numerator 4 M a to the power of 2 end exponent over denominator 6 end fraction  
  4. fraction numerator 5 M a to the power of 2 end exponent over denominator 6 end fraction  

The correct answer is: fraction numerator 5 M a to the power of 2 end exponent over denominator 6 end fraction

Related Questions to study

General
Physics-

The minimum value of F for which the cube(a) begins to topple about an edge is–

The minimum value of F for which the cube(a) begins to topple about an edge is–
Physics-General

General
Physics-

A disc of moment of inertia I is rotating about its axis, which is initially along the vertical direction, making ‘n’ revolution per minute. The axis gradually tilts becomes horizontal and the disc rotates about the horizontal axis with the same revolution per minute. The total time, taken in doing so is t seconds then the torque acting on the body is–

A disc of moment of inertia I is rotating about its axis, which is initially along the vertical direction, making ‘n’ revolution per minute. The axis gradually tilts becomes horizontal and the disc rotates about the horizontal axis with the same revolution per minute. The total time, taken in doing so is t seconds then the torque acting on the body is–

Physics-General
General
Physics-

The rope shown in figure is wound around a cylinder of mass 4 kg and I = 0.02 kg m2, about the cylinder axis. If the cylinder rolls without slipping, then the linear acceleration of its centre of mass is –

The rope shown in figure is wound around a cylinder of mass 4 kg and I = 0.02 kg m2, about the cylinder axis. If the cylinder rolls without slipping, then the linear acceleration of its centre of mass is –
Physics-General

parallel
General
Physics-

A uniform rod of length l is free to rotate in a vertical plane about a fixed horizontal axis through O. The rod is allowed to rotate from rest from its unstable vertical position. Then the angular velocity of the rod when it has turned through an angle  is –

A uniform rod of length l is free to rotate in a vertical plane about a fixed horizontal axis through O. The rod is allowed to rotate from rest from its unstable vertical position. Then the angular velocity of the rod when it has turned through an angle  is –
Physics-General

General
Physics-

A uniform circular disc placed on a rough horizontal surface is initially given a velocity v0 and angular velocity 0 as shown in figure. The disc comes to rest after moving some distance in the direction of motion. Then fraction numerator v subscript 0 end subscript over denominator r omega subscript 0 end subscript end fractionis -

A uniform circular disc placed on a rough horizontal surface is initially given a velocity v0 and angular velocity 0 as shown in figure. The disc comes to rest after moving some distance in the direction of motion. Then fraction numerator v subscript 0 end subscript over denominator r omega subscript 0 end subscript end fractionis -
Physics-General

General
Physics-

At any time t, a particle of mass 0.01 kg has the position vector stack r with rightwards arrow on top= 3 cos stack i with hat on top + 4 sin stack j with hat on top. If its angular momentum with respect to origin is 0.6stack k with hat on topkg m2s–1 and remain constant then angle covered by the position vector of particle in time interval t is –

At any time t, a particle of mass 0.01 kg has the position vector stack r with rightwards arrow on top= 3 cos stack i with hat on top + 4 sin stack j with hat on top. If its angular momentum with respect to origin is 0.6stack k with hat on topkg m2s–1 and remain constant then angle covered by the position vector of particle in time interval t is –

Physics-General
parallel
General
General

For a first order reaction the graph log [𝐴] 𝑣𝑠 𝑡 is given below

 is equal to

For a first order reaction the graph log [𝐴] 𝑣𝑠 𝑡 is given below

 is equal to

GeneralGeneral
General
Physics-

A coil of self inductance50 blank h e n r y is joined to the terminals of a battery of e.m.f. 2 blank v o l t s through a resistance of 10 blank o h m blankand a steady current is flowing through the circuit. If the battery is now disconnected, the time in which the current will decay to 1/e of its steady value is

A coil of self inductance50 blank h e n r y is joined to the terminals of a battery of e.m.f. 2 blank v o l t s through a resistance of 10 blank o h m blankand a steady current is flowing through the circuit. If the battery is now disconnected, the time in which the current will decay to 1/e of its steady value is

Physics-General
General
Physics-

A player with 3 blank m long iron rod runs towards east with a speed of 30 blank k m divided by h r. Horizontal component of earth’s magnetic field is 4 cross times 10 to the power of negative 5 end exponent W b divided by m to the power of 2 end exponent. If he is running with rod in horizontal and vertical positions, then the potential difference induced between the two ends of the rod in two cases will be

A player with 3 blank m long iron rod runs towards east with a speed of 30 blank k m divided by h r. Horizontal component of earth’s magnetic field is 4 cross times 10 to the power of negative 5 end exponent W b divided by m to the power of 2 end exponent. If he is running with rod in horizontal and vertical positions, then the potential difference induced between the two ends of the rod in two cases will be

Physics-General
parallel
General
Physics-

A step-down transformer is connected to main supply 200 V to operate a 67 V comma blank 30 W bulb. The current in primary is

A step-down transformer is connected to main supply 200 V to operate a 67 V comma blank 30 W bulb. The current in primary is

Physics-General
General
Physics-

Two identical circular loops of metal wire are lying on a table. Loop A carries a current which increases with time. In response, the loop B

Two identical circular loops of metal wire are lying on a table. Loop A carries a current which increases with time. In response, the loop B

Physics-General
General
Physics-

A solenoid 60 mm long has 50 turns on it and is wound on an iron rod of 7.5 mm radius. Find the flux through the solenoid when the current in it is 3A. The relative permeability of iron is 600

A solenoid 60 mm long has 50 turns on it and is wound on an iron rod of 7.5 mm radius. Find the flux through the solenoid when the current in it is 3A. The relative permeability of iron is 600

Physics-General
parallel
General
Physics-

A conducting rod of length l is falling with a velocity v perpendicular to a uniform horizontal magnetic field B. The potential difference between its two ends will be

A conducting rod of length l is falling with a velocity v perpendicular to a uniform horizontal magnetic field B. The potential difference between its two ends will be

Physics-General
General
Physics-

In the following figure, the magnet is moved towards the coil with a speed v and induced e m f blank e. If magnet and coil recede away from one another each moving with speed v, the induced e m f in the coil will be

In the following figure, the magnet is moved towards the coil with a speed v and induced e m f blank e. If magnet and coil recede away from one another each moving with speed v, the induced e m f in the coil will be
Physics-General

General
Physics-

A square coil A B C D lying in x minus y plane with it’s centre at origin. A long straight wire passing through origin carries a current i equals 2 t in negative z-direction. The induced current in the coil is

A square coil A B C D lying in x minus y plane with it’s centre at origin. A long straight wire passing through origin carries a current i equals 2 t in negative z-direction. The induced current in the coil is
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.