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1451.

a A farmer moves along theboundany ofn square ietd of sicde10 m in 40 s. Whar will be themognitude of desplocement of theJarmer at the end of 2 minutes 20seconds from his nitial postion?

Answer»

Total distance 40m in 40 sec.

Total time taken by the farmer

= 2 min 20 sec =140 seconds.

Total rounds completed= 140/40=3.5 rounds

That means if the farmer starts from point A of the square field, he reaches point C.

Therefore, displacement is AC.

Assume ABC is a right angled triangle.

Therefore,AC^2= AB^2+BC^2AC^2

= (10)^2+(10)^2

AC^2= 100+100

AC^2=200

AC = (200)^1/2

AC= 10× (2)^½

1452.

- 2. A farmer moves along theboundary of a square field of side10 m in 40 s. What will be themagnitude of displacement of thefarmer at the end of 2 minutes 20seconds from his initial position?

Answer»

Side of square = 40 m

Perimeter of Square = 4*side= 4*40 = 160 m

In 40 sec farmer complete one round of boundary it means farmer cover distance = 160 min 40 sec but displacement is 0as starting and end point is same.

Now,2 min 20 sec = 2*60 + 20= 120 + 20 = 140

Therefore,In 140 sec farmer cover distance = 160*140/40= 4*140= 560 m or 3.5 rounds of square boundary

In 3 rounds displacement is 0For half round displacement is equal to diagonal of square = root(2)*side= 40*root(2)= 40*1.414= 56.56 m

1453.

12. A farmer moves along the boundary of a square field of side 10 min 40 s. What will be the magnitude ofdisplacement of the farmer at the end of 2 minutes 20 seconds from his initial position?

Answer»
1454.

2. A farmer moves along theboundary of a square field of side10 m in 40 s. What will be themagnitude of displacement of thefarmer at the end of 2 minutes 20seconds from his initial position?

Answer»
1455.

10. If two forces of 5 N each are acting along X and Y axes, then the magnitude anddirection of resultant is(A)s/2, π / 3

Answer»
1456.

(4) 8i+5j-2k22.Moment of a force of magnitude 20 N acting along positive x direction at point (3m, 0, 0) about the point (0.2,0(in Nm) is(1) 20(3) 40(2) 60(4) 3023. A flywheel of moment of inertia 2 kn-m2 is rntatodl nf

Answer»

By the definition of torque,г = r x FGiven points are(3m,0,0) and(0,2,0)r = (0 - 3m) i + (2-0) j + (0-0) kr = -3m i + 2 jNow,г = (-3m i + 2 j) x (20 i)г = (0-0) i - (0-0) j + (0-40) kг = - 40 kΙ гΙ = 40 N

1457.

A particle is moving in x-y-plane at 2 m/s along x-axis. 2 seconds later, its velocity is 4 m/s in a direction making60 with positive x-axis. Its average acceleration for this period of motion is:-(A) 5 m/s2, along y-axisC) 5 m/s2, along at 60 with positive x-axis (D) 3m/52, at 60 with positive x-akisB) 3 m/, alons y-axiş

Answer»
1458.

1. Choose the correct option.i) The resultant of two forces 10 N and 15 Nacting along +x and - x-axes respectively,1s(A) 25 N along + x-axis(B) 25 N along - x-axis(C) 5 N along + x-axis(D) 5 N along - x-axis

Answer»

the correct answer is C

c.is the right answer

c is the correct answer

c is a right answer

plz like my answer

the correct ans is option c..

option (c) 5n along+x axis is the right answer

Option d is correct because both forces are opposite to each other so net force is along - x axis and of magnitude 5 N

1459.

60. In figure two positive charges q2 and q3 fixed along the 6Y-axis, exert a net electric force in the + xdirection ona charge a fixed along the X-axis. If a positive charge Qis added at (x O), then the force on q [NCERT Exemplar]Y.Y.929291q1 O(x, 0)93(a) shall increase along the positive X-axis.(b) shall decrease along the positive X-axis.(c) shall point along the negative X-axis.(d) shall increase but the direction changes because of the

Answer»

correct answer is b of this question

1460.

A particle is moving along a straight line parallel to x-axis with constant velocity. Find angular momentum aboutthe origin in vector formp (m)(1) + m2bk(2) -mv bk(3) -2mv bk(4) -mv bj

Answer»

angular moment about original is m*(V×Rp) = m*(v*b)k= -mvb k

option 2

1461.

19.Acardrivesalongastraightlevelfrictionlessroadbyanengine delivering constant power. Then velocity is directlyproportional to

Answer»

power =Fvhence velocity is directly proportional to power.

1462.

If a body of mass M is moved from rest along aht line by an engine which is delivering astraightconstant power P, then the velocity of the body aftertime t will be

Answer»
1463.

22. Gravel is dropped onto a conveyer belt at a rate of0.5 kg/s. The extra force required in newton tokeep the belt moving at 2 m/s is :-(1) 1 N(2) 2N(3) 4N(4) 0.5 N

Answer»

1N is correct answer

1 N is the correct answer

I think 1newton is correct

1 Newton is correct answer

1464.

itA particle is moving along a circle such thatcompletes one revolution in 40 seconds. In 21.minutes 20 seconds, the ratio ldisplacement isISdistance7274%-11

Answer»

Let p be the perimeter of the circular path traversed by the particle

In 2 minutes the displacement will be zero and in next 20 second the displacement will be p/2 (as it will be on diametrically opposite end).

It will make 3.5 revolution in 2 minutes 20 seconds.The distance travelled= 3.5p

Therefore the ratio= (p/2)/(3.5p)=1/7

Option 2 is correct.

1465.

EXAMPLES BASED ON NEWTON'S SECOND LAWA train is moving with velocity 20 m/sec. on this, dust is falling at the rate of 50 kg/min. The extra forcerequired to move this train with constant velocity will be(a)16.66 N1.(b) 1000 N(c) 166.6 N(d) 1200 N

Answer»
1466.

A particle is projected from a horizontal plane (x-zplane) such that its velocity vector at time t is givenby V-ai -(b- ct). Its range on the horizontalplane is given byba2ba(A)C(B) C(C) 3ba(C) c(D)

Answer»

V=a i^+(b-ct)j^

Vx=Ux+axta=Ux+0Ux=a x=Uxt+0x=at----------------(1)

Vy=Uy+aytb-ct=Uy-gtUy=b and g=cnow,y=Uyt+1/2ayt^2 0 =bt-1/2ct^22b-ct=0t=2b/c-----------(2)put (2)in equation (1)x=a2b/c=2ab/chence option (b) is correct

1467.

Massm/s21. Study the entries in the followingtable and rewrite them putting theconnected items in a single row.IIZero at thecentreWeightMeasure of inertiaAccelera-Nm/kg Same in the entiretion due touniversegravityGravita-N Depends on heighttional con-stantkg

Answer»
1468.

A body moving along the x-axis of a Co-ordinate system is subject to a constant face F given by F (2i+j+4k) N, what is the work done by this force in moving the body through a distance of2 m along the x axis?

Answer»

work done = F x s=2 *2answer 4J

f=2why??

because F acts on all 3 axis while s is acting only along X axis that is why we consider the force only along the axis in which we are given the distance

1469.

34 The variation of potential energy U of a body movingalong x-axis varies with its position (x) as shown infigureThe body is in equilibrium state at(2) B(3) C(4) Both A & C

Answer»

A and C because energy is least there

Option (2) is correct.The body is in equilibrium at point B because the force acting on the body, given by slope of curve, at that point is zero. However, this is a condition of unstable equilibrium as any disturbance will reduce the potential energy of the system.

1470.

elowins components:1. Baking Powder52. Г otassium Sulphate a, semiTwo children stand on wheel carts facing each other. One student throws athe other who catches it. What will be the direction of motion of both the children? Give reasonsfor your answer.02

Answer»

The child who throws the mass towards the other, and the one who catches it, both move backwards. (Reason) -Thrower moves due to backward reaction of mass pushed forward. Catcher moves due to forward reaction of mass pushed and held backward.

1471.

9.Two towns A and B are connected by a regularbus service with a bus leaving in either directionevery T minutes. A man cycling with a speed of20 km hin the direction A to B notices that abus goes past him every 18 min in the directionof his motion, and every 6 min in the oppositedirection. What is the period T of the bus serviceand with what speed (assumed constant) dothe buses ply on the road?

Answer»
1472.

3. Why is the core of a transformerlaminated? Delhi 2013C

Answer»

Eddy current losses in transformers depends on the core, so to avoid or minimize this losses cores are laminated.

1473.

1kgm²s² how many gcm²s²

Answer»

= 10000000 gcm²s²

= 10^7 gcm²s²

1474.

the volume of a sphere.4.29. A bullet fired at an angle of 30° with the horizontal hits the ground 3 km away. By adjustingits angle of projection, can one hope to hit a target 5 km away? Assume the muzzle speed to thefixed, and neglect air resistance.2000 m e=300, g = 9.8 m s-2

Answer»

how g becomes 9.8 meter per second square

1475.

8.A car moving on a straight road covers one third of the distance with 20 km/hr and the rest with 60 km/hr.The average speed is(A) 40 km/hr (B) 80 km/hr(C) 46km/hr(D)36 km/hr

Answer»

Let the total distance be X

so time for x/3 distance = X/3*20 = x/60and time for 2x/3 distance = 2x/3*60 = x/90

now, total time = x/60+x/90 = 3x/180 +2x/180 = 5x/180

so, avg. velocity = D/T = x/(5x/180) = 180/5 = 36km/h

1476.

A bullet fired at an angle of 30 with the horizontal hits the ground 3.0 km away. Byadjusting its angle of projection, can one hope to hit a target 5.0 km away? Assume themuzzle speed to the fixed, and neglect air resistance.

Answer»
1477.

CERt 4.2 A bullet fired at an angle of 30 with the horizontalhits the ground 3.0 km away. By adjusting its angleof projection, can one hope to hit a target 5.0 kmaway? Assume the muzzle speed to be fixed, andneglect air resistance.

Answer»
1478.

Example 3. A boy runs from his house to the market 1 km away, he reachesthe market in 30 minutes. Seeing the market closed he at once runs back homeand stops after 15 minutes at his friend's house which is 0.5 km away from themarket. Calculate the average speed and magnitude of average velocity of the boyB.S.E.B. (M.P.), 2010]motiaccmotduring the whole journey.

Answer»

Averagespeed=totaldistance/totaltimetaken=1000+500/45*60m/s=1500/2700m/sec=0.55m/secAveragevelocity=totaldisplacement/totaltime=500/2700m/sec=0.185m/sec

1479.

Forces of magnitudes 2P, 4P, 3P and P act on a particle in directions parallel to the sides Aof a regular hexagon. Find the magnitude and direction of their resultant.

Answer»

this will be the resultant

directions for the resultant

please bro help me

1480.

-14. On turning a corner a car driver driving at 36 kmhfinds a child on the road 55 m ahead. He imme-diately applies brakes, so as to stop within 5 m of thechild. Calculate the retardation produced and thetime taken by the car to stop. (Ans. 1 ms,10s)

Answer»
1481.

e cable of a uniformly loaded suspension bridge hangs in the form ofrabola. The roadway which is horizontal and 100m long is supported by verticres attached to the cable, the longest wire being 30m and the shortest bein. Find the length of a supporting wire attached to the roadway 18m fromiddle

Answer»
1482.

magnitude ol the chhar geof 1.50 × 10-6 C stays suspended in a room, what is thedirection ?śz. A water particle of mass 100 mg and having a charge7magnitude of electric field in the room ? What isl. having a value

Answer»
1483.

15. The mass of an ice block is 125find the volunice is 0.92 gcms 125 g. I density ofthe volume of ice block[135.87 cm

Answer»

Density=mass/volVol=mass/density=125/0.92=135.87cm^3

1484.

A uniform wooden plank 5m long and weighing 40kg is resting on two supports 0.5 m from each end. Abody weighing 45 kg stands 1.5 m from one end ofthe wooden plank. Find the reactions at the supports.

Answer»

For the plank, weight = 40 * 9.8 = 392 NFor the boy, weight = 45 * 9.8 = 441 NTotal weight = 392 + 441 = 883 N

Let F1 be the force on the left support and F2 be the force at the right support. Let’s assume the boy is 1.5 meters from the left end of the beam. The sum of these two forces is equal to the total weight.

F1 + F2 = 883 N

This is a torque problem. Let the pivot point be at the left the support. The weight of the plank and boy will produce clockwise torques. The upward force at the right support will produce counter clockwise torque. The weight of the plank is at its center.

2.5 – 0.5 = 2 mThis is distance from the left support to the center of the plank.

Clockwise torque = 392 * 2 = 784 N * m1.5 – 0.5 = 1 mThis is distance from the left support to the boy.

Clockwise torque = 441 N * m

Total clockwise torque = 784 + 441 = 1225 N * m

4.5 – 0.5 = 4 mThis is distance from the left support to the right support.

Counter clockwise torque = F2 * 4

F2 * 4 = 1225F2 = 1225 ÷ 4 = 306.25 N

F1 = 883 – 306.25 = 576.75 N

1485.

el the Tollowing questions.xplain the difference between a plane mirror, a concave mirror and a convex mirror with respect to the typeand size of the images produced.nswer:

Answer»

plane mirror forms always virtual image and the image is always of same size as of the object. concave mirror can form both real and virtual images and the image can be enlarged, diminished or of same size. convex mirror always forms virtual and diminished image

1486.

46. Describe the formation of positions and nature of images formed by a concave mirror ddiferent position of the object.

Answer»
1487.

Raju'sfathersyear of birth does not change iupside down. He was born a few years afgot independence. What is it?

Answer»

Raju's father was born in the year 1961.

1488.

establish the lens makers formula 1/f = (n2/n1-1) (1/r1-1/r2)

Answer»
1489.

/5W(C)125(A) 200 vwA 12 HP motor has to be operated 8 hours/day. How much will it cost at the rate of 50 paisalkWh in 10 days(A) Rs. 350/-(B)W(D) 98 W(B) Rs. 358/-(C) Rs. 375l-(D) Rs. 3971-

Answer»

1HP = 745.7 W12HP = 745.7×12 = 8948.4 W = 8.9484 kWIf it used 8 hours a day, energy consumed by it per day = 8.9484 kW×8h = 71.59 kWh

Total energy consumed in 10 days = 10×71.59 kWh =715.9 kWhcost = Rs. 0.50 per kWhtotal cost = 715.9× 0.50 = Rs. 357.94 ~ Rs. 358

1490.

16. Draw the diagram to show the centre of mass of(i) solid right circular cone (ii) cricket bat.

Answer»
1491.

A small pin fixed on a table top is viewed from above from a distanceof 50cm. By what distance would the pin appear to be raised if it isviewed from the same point through a 15cm thick glass slab heldparallel to the table? Refractive index of glass 1.5. Does the answerdepend on the location of the slab?9.16

Answer»

given real depth = 15 cm

μ=1.5μ=1.5

Let the opponent depth be x

μ=15x

=>x=15/1.5x=10cm

Distance through which the pin appears to be raised is15−1=5cmThe answer does not depend on the location of the table .

1492.

A body of mass 5 kg is moving with a velocity of20 ms-1. If a force of 100 N is applied on it for 10s in the same direction as its velocity, what willnow be the velocity of a body?

Answer»

Acceleration of the body is F/m = 100/5 = 20 m/s²

now, V=u +at => V = 20 + 20*(10) = 20+200 = 200m/s

1493.

What is electric power? An electric heater rated 1500 W. Calculate the heat produced per hour by theheater?6.

Answer»

Electric power is the rate of doing work in unit time

1494.

alculate the total cost of running the following electrical devices in the month ofSeptember, if the rate of 1 unit of electricity is 6.00.(i) Electric heater of 1000 W for 5 hours daily(ii) Electric refrigerator of 400 W for 10 hours daily

Answer»
1495.

78.An electric heater is rated 1500 W. The energy used by it in 10 hours is(2) 10 kWh.uL u dos00 W each in 10 hours is(1) 5 kWh(3) 15 kWh(4) 20 kwh

Answer»
1496.

Calculate the total cost of running the following electrical devices in the month ofSeptember, if the rate of 1 unit of electricity is 6.00.(i) Electric heater of 1000 W for 5 hours daily.(ii) Electric refrigerator of 400 W for 10 hours daily.Cl1

Answer»

I)P1= 1000 W /1000 = 1 kW

t1= 5 h

ii) P2= 400 W / 1000 = 0.4 kW

t2= 10 h

No. of days, n = 30

E1= P1x t1x n

= 1 kW x 5 h x 30 = 150 kWh

E2= P2x t2x n

= 0.4kW × 10 h × 30 = 120 kWh

Total energy = (150 + 120) kWh = 270 kWh

Total cost = 270 x 6 = Rs. 1620

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1497.

A cricket ball of mass 0.18 kg is moving with a velocity of 10 mshit by a bat so that the ball is turned back with a velocity of 20 msforce of the blow acts on the ball for 0.01 seconds. Find the averageexerted by the bat on the ball.

Answer»
1498.

bingingittorest.6.2 A body of mass 2 kg initially at restmoves under the action of an appliedhorizontal force of 7 N on a table withcoefficient of kinetic friction 0.1. V(x)Compute the(a) work done by the applied force inVits10 s,(b) work done by friction in 10 s,(c) work done by the net force on thebody in 10 s,(d) change in kinetic energy of thebody in 10 s,

Answer»

thanks

1499.

A body of mass 2 kg initially at restmoves under the action of an appliedhorizontal force of 7 N on a table withcoefficient of kinetic friction 0.1.Compute the(a) work done by the applied force in10s(b) work done by friction in 10 s(c) work done by the net force on thebody in 10 s(d) change in kinetic energy of the

Answer»
1500.

1. Gas at a pressure P, is contained in a vessel.If the masses of all the molecules are doublediand their speeds are halved,the resultingpressure P will be equal to1)4P 2) 2P2

Answer»