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

A sphere of radius ‘R’ floats in a liquid of density ‘s’ such that its diameter x-x is below distance ‘h’ from free surface as shown. The density of sphere is r. The sphere is depressed slightly and released. The frequency of small oscillation is

$\sqrt{\frac{ρ R^{3}}{3 σ (R^{2} - h^{2})}}$
$\frac{1}{π} \sqrt{\frac{4 g}{3 R}}$
$\frac{1}{4 π} \sqrt{\frac{3 σ (R^{2} - h^{2}) g}{ρ R^{3}}}$
$\frac{1}{2 π} \sqrt{\frac{3 σ (R^{2} - h^{2}) g}{ρ R^{3}}}$

The correct answer is: $fraction numerator 1 over denominator 4 pi end fraction square root of fraction numerator 3 sigma left parenthesis R to the power of 2 end exponent minus h to the power of 2 end exponent right parenthesis g over denominator rho R to the power of 3 end exponent end fraction end root$

$negative pi left parenthesis R to the power of 2 end exponent minus h to the power of 2 end exponent right parenthesis times left parenthesis x right parenthesis times sigma times g equals fraction numerator 4 pi R to the power of 3 end exponent rho left parenthesis a right parenthesis over denominator 3 end fraction$
and $a equals negative omega to the power of 2 end exponent left parenthesis x right parenthesis$

Related Questions to study

A conical flask of mass 10 kg and base area as 10³ cm² is floating in liquid of relative density 1.2, as shown in the figure. The force that liquid exerts on curved surface of conical flask will be (Given g = 10 m/s²)

A conical flask of mass 10 kg and base area as 10³ cm² is floating in liquid of relative density 1.2, as shown in the figure. The force that liquid exerts on curved surface of conical flask will be (Given g = 10 m/s²)

Physics-General

A vertical jet of water coming out of a nozzle with velocity 20 m/s supports a plate of mass M stationary at a height h = 15m, as shown in the figure. If the rate of water flow is 1 litre per second, the mass of the plate is (Assume the collision to be inelastic).

A vertical jet of water coming out of a nozzle with velocity 20 m/s supports a plate of mass M stationary at a height h = 15m, as shown in the figure. If the rate of water flow is 1 litre per second, the mass of the plate is (Assume the collision to be inelastic).

Physics-General

A thin movable plate is separated from two fixed plates $P subscript 1$ and $P subscript 2$ by two highly viscous liquids of coefficients of viscosity $n subscript 1$ and $n subscript 2$ as shown, where $n subscript 2 end subscript equals 9 n subscript 1 end subscript.$ Area of contact of movable plate with each fluid is same. If the distance between two fixed plates is ‘h’, then the distance ‘ $h subscript 1 end subscript$ ’ of movable plate from upper plate such that movable plate can be moved with a finite velocity by applying the minimum possible force on movable plate is ( assume only linear velocity distribution in each liquid).

A thin movable plate is separated from two fixed plates $P subscript 1$ and $P subscript 2$ by two highly viscous liquids of coefficients of viscosity $n subscript 1$ and $n subscript 2$ as shown, where $n subscript 2 end subscript equals 9 n subscript 1 end subscript.$ Area of contact of movable plate with each fluid is same. If the distance between two fixed plates is ‘h’, then the distance ‘ $h subscript 1 end subscript$ ’ of movable plate from upper plate such that movable plate can be moved with a finite velocity by applying the minimum possible force on movable plate is ( assume only linear velocity distribution in each liquid).

physics-General

parallel

Figure shows a stream of fluid emerging from a tube in the base of an open fixed tank. The expression of ‘y’ (Maximum height traveled by jet of water) is

Figure shows a stream of fluid emerging from a tube in the base of an open fixed tank. The expression of ‘y’ (Maximum height traveled by jet of water) is

physics-General

For the arrangement shown in figure the time interval after which the water jet ceases to cross the wall (area of cross section of tank is A and orifice is ‘a’)

For the arrangement shown in figure the time interval after which the water jet ceases to cross the wall (area of cross section of tank is A and orifice is ‘a’)

physics-General

The distance travelled by a particle is given by S=3+2t +5t²The initial velocity of the particle is…..

The distance travelled by a particle is given by S=3+2t +5t²The initial velocity of the particle is…..

parallel

If $f colon R not stretchy rightwards arrow R text defined by end text f left parenthesis x right parenthesis equals x squared minus 2 x minus 3 text then end text f text is end text$

If $f colon R not stretchy rightwards arrow R text defined by end text f left parenthesis x right parenthesis equals x squared minus 2 x minus 3 text then end text f text is end text$

A freely falling particle covers a building of 45 m height in one second. Find the height of the point from where the particle was released.[g=10 ms^-2]

A freely falling particle covers a building of 45 m height in one second. Find the height of the point from where the particle was released.[g=10 ms^-2]

The displacement of a particle in x direction is given by x.=9-5t+4t² Find the Velocity at time t=0

The displacement of a particle in x direction is given by x.=9-5t+4t² Find the Velocity at time t=0

parallel

If $f colon left square bracket 0 comma 1 right square bracket not stretchy rightwards arrow left square bracket negative 1 comma 3 right square bracket$ defined by $f left parenthesis x right parenthesis equals x squared plus x plus 1 text , then end text f text is end text$

If $f colon left square bracket 0 comma 1 right square bracket not stretchy rightwards arrow left square bracket negative 1 comma 3 right square bracket$ defined by $f left parenthesis x right parenthesis equals x squared plus x plus 1 text , then end text f text is end text$

If $f left parenthesis x right parenthesis equals vertical line x minus 1 vertical line plus vertical line x minus 2 vertical line plus vertical line x minus 3 vertical line comma f colon left square bracket 2 comma 3 right square bracket not stretchy rightwards arrow R text is end text$

If $f left parenthesis x right parenthesis equals vertical line x minus 1 vertical line plus vertical line x minus 2 vertical line plus vertical line x minus 3 vertical line comma f colon left square bracket 2 comma 3 right square bracket not stretchy rightwards arrow R text is end text$

Two thin metallic strips, carrying current in the direction shown, cross each other perpendicularly without touching but being close to each other, as shown in the figure. The regions which contain some points of zero magnetic induction are

Two thin metallic strips, carrying current in the direction shown, cross each other perpendicularly without touching but being close to each other, as shown in the figure. The regions which contain some points of zero magnetic induction are

physics-General

parallel

$A equals left curly bracket x colon negative 1 less or equal than x less or equal than 1 right curly bracket. f colon A not stretchy rightwards arrow A$ defined by $f left parenthesis x right parenthesis equals x vertical line x vertical line$ . $text Then end text f text is end text$

$A equals left curly bracket x colon negative 1 less or equal than x less or equal than 1 right curly bracket. f colon A not stretchy rightwards arrow A$ defined by $f left parenthesis x right parenthesis equals x vertical line x vertical line$ . $text Then end text f text is end text$

What does the speedometer measure kept in motorbike ?

What does the speedometer measure kept in motorbike ?

A cell is connected between the points A and C of a circular conductor ABCD with O as centre and angle $A O C equals 60 degree.$ If $B subscript 1$ and $B subscript 2$ are the magnitudes of the magnetic fields at O due to the currents in ABC and ADC respectively, then ratio $fraction numerator B subscript 1 end subscript over denominator B subscript 2 end subscript end fraction$ is

A cell is connected between the points A and C of a circular conductor ABCD with O as centre and angle $A O C equals 60 degree.$ If $B subscript 1$ and $B subscript 2$ are the magnitudes of the magnetic fields at O due to the currents in ABC and ADC respectively, then ratio $fraction numerator B subscript 1 end subscript over denominator B subscript 2 end subscript end fraction$ 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.