Physics-
General
Easy

Question

A non uniform cylinder of mass m, length l and radius r is having its centre of mass at a distance l/4 from the centre and lying on the axis of the cylinder. The cylinder is kept in a liquid of uniform density rho, The moment of inertia of the rod about the centre of mass is I. The angular acceleration of point A relative to point B just after the rod is released from the position shown in figure is :

  1. fraction numerator pi rho g l to the power of 2 end exponent r to the power of 2 end exponent over denominator I end fraction    
  2. fraction numerator pi rho g l to the power of 2 end exponent r to the power of 2 end exponent over denominator 4 I end fraction    
  3. fraction numerator pi rho g l to the power of 2 end exponent r to the power of 2 end exponent over denominator 2 I end fraction    
  4. fraction numerator 3 pi rho g l to the power of 2 end exponent r to the power of 2 end exponent over denominator 4 I end fraction    

The correct answer is: fraction numerator pi rho g l to the power of 2 end exponent r to the power of 2 end exponent over denominator 4 I end fraction

Related Questions to study

General
physics-

A U–tube of base length l to the power of ´ end exponentfilled with same volume of two liquids of densities rho and 2 rho is moving with an acceleration on the horizontal plane. If the height difference between the two surfaces (open to atmosphere) becomes zero, then the height h is given by–

A U–tube of base length l to the power of ´ end exponentfilled with same volume of two liquids of densities rho and 2 rho is moving with an acceleration on the horizontal plane. If the height difference between the two surfaces (open to atmosphere) becomes zero, then the height h is given by–

physics-General
General
physics-

A narrow tube completely filled with a liquid is lying on a series of cylinder as shown in figure. Assuming no sliding between any surfaces, the value of acceleration of the cylinders for which liquid will not come out of the tube from anywhere is given by

A narrow tube completely filled with a liquid is lying on a series of cylinder as shown in figure. Assuming no sliding between any surfaces, the value of acceleration of the cylinders for which liquid will not come out of the tube from anywhere is given by

physics-General
General
physics-

A cylindrical container of radius 'R' and height 'h' is completely filled with a liquid. Two horizontal L shaped pipes of small cross–section area 'a' are connected to the cylinder as shown in the figure. Now the two pipes are opened and fluid starts coming out of the pipes horizontally in opposite directions. Then the torque due to ejected liquid on the system is–

A cylindrical container of radius 'R' and height 'h' is completely filled with a liquid. Two horizontal L shaped pipes of small cross–section area 'a' are connected to the cylinder as shown in the figure. Now the two pipes are opened and fluid starts coming out of the pipes horizontally in opposite directions. Then the torque due to ejected liquid on the system is–

physics-General
parallel
General
physics-

A small uniform tube is bent into a circular tube of radius R and kept in the vertical plane. Equal volumes of two liquids of densities rho and sigma left parenthesis rho greater than sigma right parenthesis fill half of the tube as shown. theta is the angle which the radius passing through the interface makes with the vertical. The value of theta is:–

A small uniform tube is bent into a circular tube of radius R and kept in the vertical plane. Equal volumes of two liquids of densities rho and sigma left parenthesis rho greater than sigma right parenthesis fill half of the tube as shown. theta is the angle which the radius passing through the interface makes with the vertical. The value of theta is:–

physics-General
General
physics-

A cylindrical vessel filled with water is released on an inclined surface of angle theta as shown in figure. The friction coefficient of surface with vessel is mu left parenthesis less than t a n invisible function application theta right parenthesis Then the constant angle made by the surface of water with the incline will be–

A cylindrical vessel filled with water is released on an inclined surface of angle theta as shown in figure. The friction coefficient of surface with vessel is mu left parenthesis less than t a n invisible function application theta right parenthesis Then the constant angle made by the surface of water with the incline will be–

physics-General
General
physics-

A solid uniform ball having volume V and density rho floats at the interface of two unmixable liquids as shown in figure. The densities of the upper and the lower liquids are rho subscript 1 end subscript and rho subscript 2 end subscript respectively, such that rho subscript 1 end subscript less than rho less than rho subscript 2 end subscript. What fraction of the volume of the ball will be in the lower liquid :–

A solid uniform ball having volume V and density rho floats at the interface of two unmixable liquids as shown in figure. The densities of the upper and the lower liquids are rho subscript 1 end subscript and rho subscript 2 end subscript respectively, such that rho subscript 1 end subscript less than rho less than rho subscript 2 end subscript. What fraction of the volume of the ball will be in the lower liquid :–

physics-General
parallel
General
physics-

A balloon filled with air is weighted, so that it barely floats in water as shown in figure. When it is pushed down so that it gets submerged a short distance in water, then the balloon :–

A balloon filled with air is weighted, so that it barely floats in water as shown in figure. When it is pushed down so that it gets submerged a short distance in water, then the balloon :–

physics-General
General
physics-

A capillary of the shape as shown is dipped in a liquid. Contact angle between the liquid and the capillary is 0° and effect to liquid inside the meniscus is to be neglected. T is surface tension of the liquid, r is radius of the meniscus, g is acceleration due to gravity and r is density of the liquid then height h in equilibrium is:

A capillary of the shape as shown is dipped in a liquid. Contact angle between the liquid and the capillary is 0° and effect to liquid inside the meniscus is to be neglected. T is surface tension of the liquid, r is radius of the meniscus, g is acceleration due to gravity and r is density of the liquid then height h in equilibrium is:

physics-General
General
physics-

The spring balance A read 2 kg with a block m suspended from it. A balance B reads 5 kg when a beaker with liquid is put on the pan of the balance. The two balances are now so arranged that the hanging mass is inside the liquid in the beaker as shown in figure. In this situation :–

The spring balance A read 2 kg with a block m suspended from it. A balance B reads 5 kg when a beaker with liquid is put on the pan of the balance. The two balances are now so arranged that the hanging mass is inside the liquid in the beaker as shown in figure. In this situation :–

physics-General
parallel
General
physics-

A block of mass 'M' area of cross–section 'A' & length blank to the power of ´ end exponent lambda to the power of ´ end exponent is placed on smooth horizontal floor. A force 'F' is applied on the block as shown. If Y is young modulus of material , then total extension in the block will be:

A block of mass 'M' area of cross–section 'A' & length blank to the power of ´ end exponent lambda to the power of ´ end exponent is placed on smooth horizontal floor. A force 'F' is applied on the block as shown. If Y is young modulus of material , then total extension in the block will be:

physics-General
General
physics-

A steel rod of cross–sectional area 16 c m to the power of 2 end exponent and two brass rods of cross section area 10 c m to the power of 2 end exponent together support a load of 5000 kg as shown in figure. The stress in steel rod will be : (Take Y for steel = 2.0 cross times 10 to the power of 6 end exponentN/c m to the power of 2 end exponent and for brass = 1.0 cross times 10 to the power of 6 end exponent N/c m to the power of 2 end exponent )

A steel rod of cross–sectional area 16 c m to the power of 2 end exponent and two brass rods of cross section area 10 c m to the power of 2 end exponent together support a load of 5000 kg as shown in figure. The stress in steel rod will be : (Take Y for steel = 2.0 cross times 10 to the power of 6 end exponentN/c m to the power of 2 end exponent and for brass = 1.0 cross times 10 to the power of 6 end exponent N/c m to the power of 2 end exponent )

physics-General
General
physics-

The figure shows a soap film in which a closed elastic thread is lying. The film inside the thread is pricked. Now the sliding wire is moved out so that the surface area increases. The radius of the circle formed by elastic thread will :

The figure shows a soap film in which a closed elastic thread is lying. The film inside the thread is pricked. Now the sliding wire is moved out so that the surface area increases. The radius of the circle formed by elastic thread will :

physics-General
parallel
General
physics-

In determination of young modulus of elasticity of wire, a force is applied and extension is recorded. Initial length of wire is '1m'. The curve between extension and stress is depicted then Young modulus of wire will be:

In determination of young modulus of elasticity of wire, a force is applied and extension is recorded. Initial length of wire is '1m'. The curve between extension and stress is depicted then Young modulus of wire will be:

physics-General
General
physics-

A copper wire of length 3m and area of cross–section 1 m m to the power of 2 end exponent , passes through an arrangement of two frictionless pulleys, P subscript 1 end subscript and P subscript 2 end subscript. One end of the wire is rigidly clamped, and a mass of 1 kg is hanged from the other end. If the Young's modulus for copper is 10 cross times 10 to the power of 10 end exponent N divided by m to the power of 2 end exponent, then the elongation in the wire is

A copper wire of length 3m and area of cross–section 1 m m to the power of 2 end exponent , passes through an arrangement of two frictionless pulleys, P subscript 1 end subscript and P subscript 2 end subscript. One end of the wire is rigidly clamped, and a mass of 1 kg is hanged from the other end. If the Young's modulus for copper is 10 cross times 10 to the power of 10 end exponent N divided by m to the power of 2 end exponent, then the elongation in the wire is

physics-General
General
chemistry-

Which nitrogen is protonated readily in guanidine

Which nitrogen is protonated readily in guanidine

chemistry-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.