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39 views12 pagesEcaps POF
Pdf Ecaps
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tanmaypathe0301Copyright
© © All Rights Reserved
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/ 12
E-CAPS-63 : PHYSICS
(Engineering-Classroom Assessment Practice Sheet)
Hydraulic brakes.
Topics covered: Pressure, Density, Pascal's law, Variation of pressure with depth, Hydrostatic paradox, Hydraulic lft,
Choose the correct answer :
1. The pressure difference between A and B, is
wo aio
(y ® @ ®
() a (4) ta
2. If equal masses of two liquids of densities d, and
d, are mixed together, density of the mixture is
(1) 2192
+d,
(2) 2dee
d,+d,
(a) — ate
2(d,+d2)
(4) itd
2
3. An incompressible liquid is enclosed with two
frictionless pistons, one of cross-sectional area A
and the other 4A. When the narrow piston moves
by a distance h, the wider piston moves by
distance
(yh (2) 4h
A h
4 @ 2
From the following figure, the correct observation
(i)
(1) The pressure on the bottom of tank (I) is
greater than at the bottom of (II)
(2) The pressure on the bottom of tank (I) is
smaller than at the bottom of (I!)
(3) The pressure depends on the shape of
container
(4) The pressure on the bottom of (I) and (II) is
same
‘A container holds two immiscible liquids of density
p and 2p as shown in figure. The pressure at the
bottom of container is (Neglect atmospheric
pressure)
(1) 2hpg + Po (2) 3hpg + Po
(3) Ing + Py (4) Zero 6.
A submarine experiences a pressure of
5.05 * 10° Pa at a depth of d, in a sea. When it
goes further to a depth of d,, it experiences a
pressure of 8.08 x 10° Pa. Then d, — d, is
approximately (density of water = 103 kg/m? and
acceleration due to gravity = 10 ms-2) :
(1) 600 m
(2) 500. m
(3) 300m
(4) 400 m
If pressure at half the depth of a lake is equal to z
pressure at the bottom of the lake then what is the
depth of the lake?
10.
a
Equal volume of liquid is poured into vessel
having same cross section area at the bottom.
Pressure of the liquid at bottom is maximum in
WwA
A B c
(1) Vessel A
(2) Vessel 8
(3) Vessel C
(4) Equal in all the vessels
A barometer tube reads 76 cm of mercury. If the
tube is gradually inclined at an angle of 60° with
vertical, keeping the open end immersed in the
mercury reservoir, the length of the mercury
column will be 4n cm. Value of n, is__
The pressure acting on a submarine is 3 x 105 Pa
at a certain depth. If the depth is doubled, the
percentage increase in the pressure acting on the
submarine would be:
(Assume that atmospheric pressure is 1 x 10°Pa,
density of water is 10° kg m-°, g= 10 ms~2)
200 3
= % ) 500%
200 5
8) =-% (4) 300%
(1) 10m
(2) 20m
(3) 60m
(4) 30m
Q
(2) 2. (2) 3. (3)
(3) 7. (2) 8. (3)
4 (4) 5. (2)
9. (38)
10. (3) E-CAPS-64 : PHYSICS
(Engineering-Classroom Assessment Practice Sheet)
Topics covered: Force and torque due to hydrostatic pressure, Archimede's principle
Choose the correct answer :
1.
An ice cube is floating in a beaker filled with
mercury. When the ice melts, the level of liquid
(1) Rises
(2) Falls
(3) Remains unchanged
(4) Rises or fall depends upon the size of ice cube
A metallic sphere has a cavity inside it. The sphere
weighs 40 g weight in air and 20 g in water. If
density of the material of the sphere is 8 gm/cc, the
volume of the cavity will be
(1) 100 cc (2) 15¢c
(3) 25¢c (4) 30 cc
The upper edge of a gate in a dam runs along
water surface. The gate is 4 m high and 3 m wide
and is hinged along a horizontal line through its
centre. Calculate the magnitude of torque about
hinge
(1) 16 x 10¢ Nem
(3) 24 10¢Nm
(2) 8x 10!N-m
(4) 4108 Nem
Consider a container of shape as shown. Liquid of
density p is filled init. The force exerted by the side
walls of the container on the liquid (Atmospheric
pressure is absent)
2 4
(1) 3rR’pgh (2) 3rRogh
(3) }aR’pgh (4) xR’pgh
Some liquid is filled in a cylindrical vessel of radius
R. Let F, be the force applied by the liquid on the
bottom of the cylinder. Now same liquid is poured
into a vessel of uniform square cross-section of
side R upto same height as in container 1. Let F,
be the force applied by the liquid on the bottom of
this new vessel, then
(1) Fy= nF,
@ F=%
-
(3) Fy= Va Fp
(4) Fy =F,
A streamlined body of volume V falls through air
from a height h on the surface of a non viscous
liquid. If d and D (D > d) represents the densities
of the material of the body and liquid respectively,
then the time after which the body will be
instantaneous at rest is
(1) Nota function of D
(2) Nota function of
(3) Nota function of g
(4) Nota function of V 7.
A solid body floating on water has one-fifth of its
volume above the surface. Density of water is p.
Then the density of solid object is
2 2»
ms as
@ * % (» Aaya
A cubical block having side length 10 cms floating
at the interface of water and oil as shown. Assume (2) taR'pg
density of oil and water are p and 3p respectively
and 2 cm length of the cube is inside the water, () 2aR%g
then mass of the block will be 3
(4) 4nRog
10. A hollow sphere of outer radius 10 cm and inner
radius 9 cm is floating in water as half submerged.
The density of material of sphere is
(1) 500g (2) 1200pg (1) 1825 kgims
(3) 1400pg (4) 1600pg f
A sphere of radius R is just immersed in a liquid of (Oi 22ie korn
density p and floating as shown. The force exerted (3) 1225 kgim?
by liquid on upper half hemispherical surface is
2
(assume atmospheric pressure = 0) (4) 1845 kg/m‘
gaa
(1) 2. (2) 3. (1) 4. (2) 5. (1)
(4) 7. (3) 8. (3) 9. (2) 10. (4) E-CAPS-65 : PHYSICS
(Engineering-Classroom Assessment Practice Sheet)
Topics covered: Liquids in accelerated containers, Container having vertical acceleration, Container having horizontal
acceleration, Horizontally accelerated U-tube, Pressure in a rotating frame
Choose the correct answer :
1. A body of volume Vis floating fully submerged in
a liquid of density p. If the container starts moving
upwards with constant acceleration g/3, then the
buoyant force acting on the body becomes
© fe
Veg 2Vpg
) a 3
AV,
(a) “pe @) vo
In the arrangement shown for a rotating liquid, the
correct relation is
x
2. 2
4) y2oo® a) 2-2”
ay 29 (2) 2
242 2
3) y= 4) yO
@B) y 29 ay 2g
A vessel having ideal liquid of density p is
accelerating vertically upward with an acceleration
g as shown. Pressure difference between two
points A and Bat a vertical separation of His equal
to
4,
(1) pgH (2) 2pgH
(3) ot (4) Zero
In the arrangement shown, the value of h is
al gt
(1) 29 (2) 2a
gt ak
es oF
Ifthe container is accelerating along a direction as
shown in figure, the angle 0 will be
Dy
(1) 30°
(2) 150°
(3) 60°
(4) 120° In the given figure, the pressure difference
between points A and B is
A thin spherical shell completely filled with a
non-viscous liquid of density p moves with an
horizontal acceleration g. The coordinates of the
point having maximum pressure is (Point O refers
to origin)
(3)
(4)
2.
) 3. (2)
(3) 8. (1)
~
10.
Oo 5% @ £8
oR -R oR Rk
9 BE Oo
A vessel of water is placed on the floor of an
elevator. How does the pressure at the bottom of
the vessel change if the elevator moves up with
uniform acceleration a?
(1) Increase (2) Decrease
(3) Remain same (4) None of these
Water is filled in a long cylindrical vessel of radius
20 cm and it is rotated about its axis with
© = 10 radis. The difference in water level at axis
and periphery is
(1) 10 cm (2) 20cm
3) 40 cm (4) 60cm
A cubical block of side length 10 cm and density
500 kg/m? is floating in water kept in a bucket. If
bucketiis placed inside a lft which is moving upward
with acceleration of 5 m/s?, then volume of cube
inside water is (g = 10 mis’)
(1) 250 cms (2) 500 cm?
(3) 333 om? (4) 750 cm?
a
4. (4) 5. (3)
9 (2) 10. (2) E-CAPS-66 : PHYSICS
(Engineering-Classroom Assessment Practice Sheet)
Topics covered: Streamline flow, Equation of continuity, Bernoulli's principle, Applications of Bernoulli's theorem
Choose the correct answer :
4. In the figure shown below, water drains out
through a small hole of a large tank. Then
[P, is atmospheric pressure]
(1) Pressure at the point C is greater than
atmospheric pressure
(2) Pressure at Bis pa“e+P,
(3) Pressure at Bis greater than vat +P,
(4) Pressure at Bis lesser than og, P
2. The velocity of water in a horizontal tube becomes
1 cm/s where the pressure is 2 cm of Hg. Velocity
in the portion where pressure becomes 1.5 cm of
Hg is [take g = 10 m/s"]
(1) 1.16 mis (2) 1ms
(3) 10 ms (4) 1.16 cm/s
A tank is filled with water (density 1000 kg/m?) and
oil (density 800 kg/m’). The height of water layer
is 2 mand that of oil is 8 m. Ifg = 9.8 m/s? then the
velocity of efflux from an opening at the bottom of
the tank is
(1) 11.2 mis
(2) 152 mis
(3) 128 mis
(4) 25 mis
Water from a tap emerges vertically downward
with an initial speed of 3.0 m/s. The cross-
sectional area of the tap is 10-4 m?. Assume that
the pressure is constant throughout the stream of
water and that the flow is steady. The cross-
sectional area of the stream 2 m below the tap is
(1) 0.7 « 10° m2
(2) 10-4 m2
(3) 4.3 x 10-5 m2
(4) 28 x 10 m2
A cylindrical vessel when completely filled with
water, takes 10 minutes to become empty through
‘an orifice in its bottom, time taken to become
‘empty when half filled is
(1) 5 minutes
(2) 7 minutes
(3) 8 minutes
(4) 10 minutes
Two capillary tubes A and B are immersed in
water : One is straight and the other is in the form
of a rectangular U-tube as shown in figure. The
tube A is sufficiently long. The lower end of the
bent tube is at depth H. Then, there will be no flow
of water from tube B if
(1) H=h
(3) H=0
(2) 0, f
> 2x
(1) x(a) 2 xo
® egal @ gt J
+h
Acylindrical tank stand on frictionless surface. The
seal over a circular hole of radius 0.5 om in the wall
of the tank rupture, the level of water above the
hole is 1m. g = 9.8 m/s2, p = 1000 kg/m®. The force
that a person must apply on the cylinder to keep it
from being set in motion is
a
(2) 2. (1) 3. (3)
(4) 7. (3) 8. (3)
(1) 1.54 « 10-9 N forward
(2) 1.54 x 10-° N backward
(3) 1.54.N forward
(4) 1.54 N backward
An ideal liquid is filled in a cylindrical container of
area of cross-section A. There is a circular hole of
area wa the bottom. If the hole is opened then
the acceleration with which the surface of the liquid
will fall is
g g
(1) 3 (2) 5
£ g
@ 45 4) 4
). Acylindrical tank has a small hole of cross section
area a at its bottom. if water is allowed to flow into
the tank from a pipe above it at the rate of Q, then
the maximum height upto which water can rise in
the tank is
[Assuming cross section area of tank >> a]
Q
1) —
oe
@
2ga°
(2)
4. (3) 5. (2)
9 (3) 10. (2) E-CAPS-67 : PHYSICS
(Engineering-Classroom Assessment Practice Sheet)
Topics covered: Surface tension, Surface energy, Angle of contact, Excess pressure, Capillary rise, Surface tension of
water by capillary rise & effect of detergents
Choose the correct answe
1.
A thin metal disc of radius r floats on the water
surface and bends the surface downwards along
the perimeter makes an angle @ with the vertical
edge of the disc. If the disc displaces W weight of
water and surface tension of water is T, then the
Weight of the metal disc is
(1) 2arT + W
(3) 2xrTcoso + W
(2) 2nrTcoso — W
(4) W-2xTeosd
In the figure shown below radius of limbs of
manometer are r, and r,, where r,