A uniform solid sphere of radius R has a hole of radius R/2 drilled inside it. One end of the hole is at the centre of the sphere

1 Answer

Answer :

A uniform solid sphere of radius R has a hole of radius R/2 drilled inside it. One end ... boundary. Locate centre of mass of the remaining sphere.

Related questions

Description : Ten coulombs of charge are placed on a solid copper sphere. Once the charge has come to rest, the ELECTRIC POTENTIAL inside the sphere is found to be: w) zero x) uniform inside the sphere and ... the sphere y) smaller than the electric potential outside the sphere z) varying as one over r squared

Last Answer : ANSWER: X -- UNIFORM INSIDE THE SPHERE AND EQUAL TO THE ELECTRIC POTENTIAL ON THE SURFACE OF THE SPHERE 

Description : Which one of the following statements is correct? (A) (B) The cone subtended by an area on the sphere at the centre, is called the solid angle (C) The solid angle is equal to the ratio of the area on the sphere and the square of the radius of the sphere (D) All of these

Last Answer : Answer: Option D

Description : A sphere of radius r is cut from larger sphere of radius R. The distance between their centre is a. The centroid of the remaining valoume lies on the line of centres and the sistanc from the centre of the larger sphere is a.ar2 / (R2 - r2) b.107 dynes c.aR/(R2-r2) d.aR/(R - r) e.ar3 / (R3 - r3)

Last Answer : e. ar3 / (R3 - r3)

Description : The moment of inertia of a solid sphere of radius r is a.Mr2 b.1/8 Mr2 c.2/3 Mr2 d.m4 e.1/2 Mr2

Last Answer : a. Mr2

Description : The radius of gyration of a solid sphere of radius r is equal to a.0.8 r2 b.0.2 r2 c.0.3 r2 d.0.4 r2 e.0.5 r2

Last Answer : d. 0.4 r2

Description : Five coulombs of charge are placed on a thin-walled conducting shell. Once the charge has come to rest, the electric potential inside the hollow conducting shell is found to be: w) zero x) uniform ... sphere y) smaller than the electric potential outside the sphere z) varying as one over r squared.

Last Answer : ANSWER: X -- UNIFORM INSIDE THE SPHERE AND EQUAL TO THE ELECTRIC OTENT

Description : A particle inside a hollow sphere of internal radius r with coefficient of friction 1/?3 can rest upto height of a.0.18 r b.0.435 r c.0.25 r d.0.134 r e.0.125 r

Last Answer : d. 0.134 r

Description : A portion of an embankment having a uniform up-gradient 1 in 500 is circular with radius 1000 m of the centre line. It subtends 180° at the centre. If the height of the bank is 1 m at the lower end, and side slopes 2 ... earth work involved. (A) 26,000 m3 (B) 26,500 m3 (C) 27,000 m3 (D) 27,500 m

Last Answer : (D) 27,500 m3

Description : How deep a hole has ever been drilled by humans on Mars?

Last Answer : Since we just got there, I think the answer would be: no holes at all yet. . . . unless I’ve missed the latest news.

Description : What would happen if a hole was drilled straight through the Earth from one side to the other and someone jumped in?

Last Answer : Their hair would get all messed up.

Description : I have a 1967 quarter that has a hole in it can you can somebody help me 2 see if it's worth anything or it's just somebody drilled the hole into it?

Last Answer : Here's a picture

Description : If to torricelli had drilled a little hole at the top of the glass tube holding his mercury column what would have happened to his barometer?

Last Answer : He would not have had a barometer. He would have had a glass tube stuck into a bowl of Mercury, with nothing in it. Because once the hole was made the vacuum would be gone and the Mercury would fall back down to the bowl.It takes the vacuum in the tube to create a barometer.

Description : The compaction of concrete in the drilled pile hole is done by compressed air in the case of (A) Simplex pile (B) Franki pile (C) Pressure pile (D) Vibro pile

Last Answer : Answer: Option C

Description : Pick up the correct statement from the following: (A) The pile driven in sand is called sand pile (B) The drilled hole filled with sand is called sand pile (C) The sand piles are used for bearing purposes (D) None of these

Last Answer : Option A

Description : Choose proper machine tool and explain operation method for the following: (i) Producing a hole (ii) Finishing previously drilled hole

Last Answer : MACHINE TOOL : Drilling Machine (i) Producing a hole: Drilling operation (Fig 1 mark ,explanation 2 mark) : It is an operation of producing a circular hole in a work piece by forcing a drill against ... is held in the tailstock and it is fed into the hole in the similar way as for drilling.  

Description : The centre of percussion of a solid cylinder of radius r resting on a horizontal plane will be  (A) r/2  (B) 2r/3  (C) r/A (D) 3r/2 

Last Answer : (D) 3r/2 

Description : A glass sphere of radius 15 cm has a small bubble 6 cm from its centre. The bubble is viewed along a diameter of the sphere from the side on which it

Last Answer : A glass sphere of radius 15 cm has a small bubble 6 cm from its centre. The bubble is viewed along a ... be if the refractive index of glass is 1.5 ?

Description : How many balls, each of radius 2 cm can be made from a solid sphere of lead of radius 8 cm ? -Maths 9th

Last Answer : No.of balls = Volume of share / Volume of each ball = 4 / 3π × 8 × 8 × 8 / 4 / 3π × 2 × 2 × 2 = 64

Description : How many balls, each of radius 2 cm can be made from a solid sphere of lead of radius 8 cm ? -Maths 9th

Last Answer : No.of balls = Volume of share / Volume of each ball = 4 / 3π × 8 × 8 × 8 / 4 / 3π × 2 × 2 × 2 = 64

Description : The mass transfer co-efficient for a solid sphere of radius 'a' dissolving in a large volume of quiescent liquid, in which ‘D’ is the diffusivity of solute, is (A) D/a (B) D/2a (C) Proportional to √D (D) Dependent on the Reynolds number

Last Answer : (D) Dependent on the Reynolds number

Description : A right circular cylinder just encloses a sphere of radius r (see fig. 13.22). Find (i) surface area of the sphere, (ii) curved surface area of the cylinder -Maths 9th

Last Answer : Surface area of sphere = 4πr2, where r is the radius of sphere (ii) Height of cylinder, h = r+r =2r Radius of cylinder = r CSA of cylinder formula = 2πrh = 2πr(2r) (using value of h) = 4πr2 (iii) Ratio ... sphere)/CSA of Cylinder) = 4r2/4r2 = 1/1 Ratio of the areas obtained in (i) and (ii) is 1:1.

Description : In Fig., a right circular cylinder just encloses a sphere of radius r. Find -Maths 9th

Last Answer : (i) Surface areas S1 of the sphere = 4 πr2 (ii) We have Radius of the cylinder = r Height of the cylinder = h = 2r ∴ Curved surface area S2 of the cylinder ... 2 πrh = 2 πr x 2r = 4 πr2 (iii) S1/S2 = 4 πr2/4 πr2 = 1/1 ∴ S1 : S2 = 1 : 1

Description : A sphere is cut into two equal halves and both the halves are painted from all the sides. The radius of the sphere is r unit and the -Maths 9th

Last Answer : answer:

Description : What is The surface area of a sphere can be approximated as follows Surface area 4πr2 where r is the radius of the sphere π is a constant that is roughly equal to 3. Using the simple approximat?

Last Answer : 300 m^2

Description : Fig shows a small air bubble inside a glass sphere `(mu = 1.5)` of radius 10 cm. the bubble is 4.0 cm below the surface and is viewed normally from th

Last Answer : Fig shows a small air bubble inside a glass sphere `(mu = 1.5)` of radius 10 cm. the ... from the outside. Find the apparent depth of the bubble.

Description : An electron moves in a circular orbit with a uniform speed `v`.It produces a magnetic field `B` at the centre of the circle. The radius of the circle

Last Answer : An electron moves in a circular orbit with a uniform speed `v`.It produces a magnetic field `B` at the centre of the ... (v)/(B))` D. `sqrt((B)/(v))`

Description : The figure shows the front view of a convex lens, which originally had only one edge. Five holes of different shapes, namely triangle, square, pentagon, hexagon and circle, were drilled through it at points P ... . What is the total number of edges in the lens after the holes were drilled? 

Last Answer : 57

Description : A circular solid of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in joules is 1. 395 2. 790 3. 1580 4. 3160

Last Answer : 2. 790

Description : A uniform thin rod of mass `m` and length `R` is placed normally on surface of earth as shown. The mass of earth is `M` and its radius `R`. Then the m

Last Answer : A uniform thin rod of mass `m` and length `R` is placed normally on surface of earth as shown. The mass of earth ... 2GMm)/R^(2)` D. `(4 GMm)/R^(2)`

Description : A charged particle is rotating in uniform circular motion in a uniform magnetic field . Let r= radius of circule, v= speed of particle k = kinetic ene

Last Answer : A charged particle is rotating in uniform circular motion in a uniform magnetic field . Let r ... angular speed. then match the following two columns.

Description : There is a ring of radius r having linear charge density `lambda` and rotating with a uniform angular velocity `omega.` the magnetic field produced by

Last Answer : There is a ring of radius r having linear charge density `lambda` and rotating with a uniform angular velocity ` ... D. `(mu_(0)lambda)/(2omega^(2))`

Description : A circular flexible loop of wire of radius r carrying a current I is placed in a uniform magnetic field B . If B is doubled, then tension in the loop

Last Answer : A circular flexible loop of wire of radius r carrying a current I is placed in a uniform magnetic field ... is doubled C. is halved D. becomes 4 times

Description : A circular loop of mass m and radius r in X-Y plane of a horizontal table as shown in figure. A uniform magnetic field B is applied parallel to X-axis

Last Answer : A circular loop of mass m and radius r in X-Y plane of a horizontal table as shown in figure. A uniform ... . `(mg)/(2pirB)` D. `(pirB)/(mgl)`

Description : A battery is connected between two points `A and B` on the circumference of a uniform conducting ring of radius `r` and resistance `R` . One of the ar

Last Answer : A battery is connected between two points `A and B` on the circumference of a uniform conducting ring of ... @)` D. zero for all values of `theta`

Description : A particle is moving in a uniform circular motion with constant speed v along a circle of radius r. The acceleration-of the particle is – (1) zero (2) V/r (3) V/r² (4) V²/r

Last Answer : (4) V²/r Explanation: When a particle is moving in a uniform circular motion with constant speed and radius. the acceleration of the particle is given by v2/r. The particle will exhibit centripetal acceleration.

Description : A proton moves in a uniform magnetic field in a circular path of radius R. If the energy of proton is doubled then the new radius becomes a) R √2 b) 2R c) R 2 d) √2 R

Last Answer : d) √2 R

Description : In a uniform ring of resistance `R` there are two points `A` and `B` such that `/_ ACB = theta`, where `C` is the centre of the ring. The equivalent r

Last Answer : In a uniform ring of resistance `R` there are two points `A` and `B` such that `/_ ACB = theta`, where `C` ... ))` D. `(R )/(4pi^(2))(2pi-theta)theta`

Description : The given figure shows a circle with centre O in which a diameter AB bisects the chord PQ at the point R. If PR = RQ = 8 cm and RB = 4 cm, then find the radius of the circle. -Maths 9th

Last Answer : Let r be the radius, then OQ = OB = r and OR = (r - 4) ∴ OQ2 = OR2 + RO2 ⇒ r2 = 64 + (r-4)2 ⇒ r2 = 64 + r2 + 16 - 8r ⇒ 8r = 80 ⇒ r = 10 cm

Description : The given figure shows a circle with centre O in which a diameter AB bisects the chord PQ at the point R. If PR = RQ = 8 cm and RB = 4 cm, then find the radius of the circle. -Maths 9th

Last Answer : Let r be the radius, then OQ = OB = r and OR = (r - 4) ∴ OQ2 = OR2 + RO2 ⇒ r2 = 64 + (r-4)2 ⇒ r2 = 64 + r2 + 16 - 8r ⇒ 8r = 80 ⇒ r = 10 cm

Description : AB and AC are two chords of a circle of radius r such that AB = 2AC. If p and q are the distances of AB and AC from the centre. Prove that -Maths 9th

Last Answer : Draw OM perpendicular AB and ON perpendicular AC Join OA. In right △OAM, OA2 = OM2 + AM2 ⇒ r2 = p2 + (1/2AB)2 (Since,OM perpendicular AB, ∴ OM bisects AB ) ⇒ 1/4AB2 = r2 - p2 or AB2 = 4r2 - 4p2 ... ) and (ii), we have 4r2 - 4p2 = 16r2 - 16q2 or r2 - p2 = 4r2 - 4q2 or 4q2 = 3r2 + p2

Description : An electron moving in a circular orbit of radius `r` makes `n` rotation per secound. The magnetic field produced at the centre has magnitude

Last Answer : An electron moving in a circular orbit of radius `r` makes `n` rotation per secound. The magnetic field produced at ... (r)` D. `(mu_(0)"ne")/(2r)`

Description : Due to the flow of current in a circular loop of radius `R`, the magnetic induction produced at the centre of the loop is `B`. The magnetic moment of

Last Answer : Due to the flow of current in a circular loop of radius `R`, the magnetic induction produced at the centre of the ... )` D. `(2pi BR^(2))/(mu_(0))`

Description : A current `-` carrying circular loop of radius `R` is placed in the `XY-` plane with centre at the origin. Half of the loop with `xgt0` is now bent so

Last Answer : A current `-` carrying circular loop of radius `R` is placed in the `XY-` plane with centre at the origin. ... B at (0,0,z), z gt gt R is unchanged

Description : The magnetic field at the centre of a circular coil of radius `r` carrying current `l` is `B_(1)`. The field at the centre of another coil of radius `

Last Answer : The magnetic field at the centre of a circular coil of radius `r` carrying current `l` is `B_(1)`. The field at the ... `1//2` B. `1` C. `2` D. `4`

Description : A circular current carrying coil has a radius R. The distance from the centre of the coil on the axis where the magnetic induction will be `(1//8)^(th

Last Answer : A circular current carrying coil has a radius R. The distance from the centre of the coil on the axis where the ... 2//sqrt(3))R` D. `R//2sqrt(3)`

Description : A current `i` ampere flows in a circular arc of wire whose radius is `R`, which subtend an angle `3pi//2` radian at its centre. The magnetic induction

Last Answer : A current `i` ampere flows in a circular arc of wire whose radius is `R`, which subtend an angle `3pi//2` radian at ... 0)i)/(R )` D. `3mu_(0)i)/(8R)`

Description : Weight of a person at a height of 2R from the centre of the earth, where R is the radius of the earth- (1) remains same (2) becomes half (3) becomes twice (4) becomes one-fourth

Last Answer : (4) becomes one-fourth Explanation: The gravitational force is proportional to 1/R2, where R is the distance from the centre of the Earth. So at a height of 2R from the centre of the earth, the corresponding weight would be one-fourth of the original weight.

Description : In case of laminar flow of fluid through a circular pipe, the (A) Shear stress over the cross-section is proportional to the distance from the surface of the pipe (B) Surface of velocity distribution is a ... occurs at a radial distance of 0.5 r from the centre of the pipe (r = pipe radius)

Last Answer : (B) Surface of velocity distribution is a paraboloid of revolution, whose volume equals half the volume of circumscribing cylinder

Description : If W is the load on a circular slab of radius R, the maximum circumferential moment at the centre of the slab, is (A) WR²/16 (B) 2WR²/16 (C) 3WR²/16 (D) Zero

Last Answer : Answer: Option C

Description : Ten coulombs of positive charge are placed on an irregularly-shaped, solid piece of copper. Once the charge has stopped moving, the electric field inside the copper is: w) zero x) changes as one ... squared y) becomes smaller as you approach the center z) becomes larger as you approach the center

Last Answer : ANSWER: W -- ZERO