Maths-
The function 
Maths-General
- one-one
- neither one-one nor onto
- Both one-one and onto
- onto
Answer:The correct answer is: neither one-one nor onto
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physics
A particle is thrown in upward direction with Velocity V0 It passes through a point p of height h at time t1 and t2 so t1+t1
A particle is thrown in upward direction with Velocity V0 It passes through a point p of height h at time t1 and t2 so t1+t1
physicsGeneral
physics-
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
and
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
physics-General
and
physics-
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)
= Buoyant force = weight
F = 20 N in down ward direction
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
= Buoyant force = weight
F = 20 N in down ward direction
physics-
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).
Force by liquid = Mg
But
and
But
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
Force by liquid = Mg
But and
But
physics-
A thin movable plate is separated from two fixed plates 
and 
by two highly viscous liquids of coefficients of viscosity 
and 
as shown, where 
Area of contact of movable plate with each fluid is same. If the distance between two fixed plates is ‘h’, then the distance ‘
’ 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).
Viscous force due to upper liquid 
Viscous force due to lower liquid =
If total force is minimum
Viscous force due to lower liquid =
If total force is minimum
A thin movable plate is separated from two fixed plates and by two highly viscous liquids of coefficients of viscosity and as shown, where Area of contact of movable plate with each fluid is same. If the distance between two fixed plates is ‘h’, then the distance ‘’ 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
Viscous force due to upper liquid
Viscous force due to lower liquid =
If total force is minimum
Viscous force due to lower liquid =
If total force is minimum
physics-
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
physics-
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’)
Velocity of efflux = 
Find ‘h’ to have range of ejected water
time taken by liquid to drain out from H to h is
Find ‘h’ to have range of ejected water
time taken by liquid to drain out from H to h is
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
Velocity of efflux =
Find ‘h’ to have range of ejected water
time taken by liquid to drain out from H to h is
Find ‘h’ to have range of ejected water
time taken by liquid to drain out from H to h is
physics
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…..
physicsGeneral
maths-
maths-General
physics-
Two hollow hemispheres of metal are fitted together to form a sphere of radius R. Air from the shall is pumped out and pressure remained left inside is 
th the outside atmospheric pressure P0. The force required to separate the hemisphers is
Excess pressure exists outside
Two hollow hemispheres of metal are fitted together to form a sphere of radius R. Air from the shall is pumped out and pressure remained left inside is th the outside atmospheric pressure P0. The force required to separate the hemisphers is
physics-General
Excess pressure exists outside
physics-
An iron block and a wooden block are positioned in a vessel containing water as shown in the figure. The iron block (I) hangs from a massless string with a rigid support from the top while the wooden block floats being tied to the bottom through a massless string. If now the vessel starts accelerating upwards, the incorrect option is
An iron block and a wooden block are positioned in a vessel containing water as shown in the figure. The iron block (I) hangs from a massless string with a rigid support from the top while the wooden block floats being tied to the bottom through a massless string. If now the vessel starts accelerating upwards, the incorrect option is
physics-General
physics-
A U-tube in which the cross-sectional area of the limb on the left is one quarter, the limb on the right contains mercury (density 13.6 g/cm3). The level of mercury in the narrow limb is at a distance of 36 cm from the upper end of the tube. What will be the rise in the level of mercury in the right limb if the left limb is filled to the top with water
If the rise of level in the right limb be x cm. the fall of level of mercury in left limb be 4x cm because the area of cross section of right limb is 4 times as that of left limb.
Level of water in left limb is (36 + 4x) cm.
Now equating pressure at interface of Hg and water (at A' B')
By solving we get x = 0.56 cm.
Level of water in left limb is (36 + 4x) cm.Now equating pressure at interface of Hg and water (at A' B')
By solving we get x = 0.56 cm.
A U-tube in which the cross-sectional area of the limb on the left is one quarter, the limb on the right contains mercury (density 13.6 g/cm3). The level of mercury in the narrow limb is at a distance of 36 cm from the upper end of the tube. What will be the rise in the level of mercury in the right limb if the left limb is filled to the top with water
physics-General
If the rise of level in the right limb be x cm. the fall of level of mercury in left limb be 4x cm because the area of cross section of right limb is 4 times as that of left limb.
Level of water in left limb is (36 + 4x) cm.
Now equating pressure at interface of Hg and water (at A' B')
By solving we get x = 0.56 cm.
Level of water in left limb is (36 + 4x) cm.Now equating pressure at interface of Hg and water (at A' B')
By solving we get x = 0.56 cm.
physics-
A homogeneous solid cylinder of length L
. Cross-sectional area 
is immersed such that it floats with its axis vertical at the liquid-liquid interface with length 
in the denser liquid as shown in the fig. The lower density liquid is open to atmosphere having pressure 
. Then density D of solid is given by
Weight of cylinder = upthrust due to both liquids
Þ
Þ
Þ
Þ A homogeneous solid cylinder of length L. Cross-sectional area is immersed such that it floats with its axis vertical at the liquid-liquid interface with length in the denser liquid as shown in the fig. The lower density liquid is open to atmosphere having pressure . Then density D of solid is given by
physics-General
Weight of cylinder = upthrust due to both liquids
ÞÞ
Þ
Þ physics-
A wooden block, with a coin placed on its top, floats in water as shown in fig. the distance l and h are shown there. After some time the coin falls into the water. Then
As the block moves up with the fall of coin, l decreases, similarly h will also decrease because when the coin is in water, it displaces water equal to its own volume only.
A wooden block, with a coin placed on its top, floats in water as shown in fig. the distance l and h are shown there. After some time the coin falls into the water. Then
physics-General
As the block moves up with the fall of coin, l decreases, similarly h will also decrease because when the coin is in water, it displaces water equal to its own volume only.
physics-
A body floats in a liquid contained in a beaker. The whole system as shown falls freely under gravity. The up thrust on the body due to the liquid is
Upthrust 
where, a = downward acceleration,
V = volume of liquid displaced
But for free fall a = g Upthrust = 0
where, a = downward acceleration,
V = volume of liquid displaced
But for free fall a = g
Upthrust = 0A body floats in a liquid contained in a beaker. The whole system as shown falls freely under gravity. The up thrust on the body due to the liquid is
physics-General
Upthrust
where, a = downward acceleration,
V = volume of liquid displaced
But for free fall a = g Upthrust = 0
where, a = downward acceleration,
V = volume of liquid displaced
But for free fall a = g
Upthrust = 0