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301.

How are we different?Oscillatory motion and Linear motion.

Answer»

Oscillatory motion : 

In oscillatory motion, body swings back and forth.

e.g. Motion of a swing, motion of pendulum of a clock.

Linear motion :

In linear motion, an object shows displacement in a straight line, 

e.g. A train in motion, motion of marching soldiers.

302.

In which musical instruments can you see oscillatory motion?

Answer»

Vibrating diaphragm of tabla, drum, dhol and strings of sitar, guitar show oscillatory motions.

303.

With reference to types of motion, complete the table below.

Answer»

1. Non-linear 

2. Uniform 

3. Oscillatory 

4. Periodic 

5. Random.

304.

What do you mean by translatory motion ? Give one example.

Answer»

If an object like a vehicle, moves in a line in such a way that every point of the object moves through the same distance in the same time, then the motion of the object is called translatory motion. 

Example : 

The motion of an apple falling from a tree, the motion of a man walking on a road, the motion of a box when pushed from one comer of a room to the other, are all the translatory motion.

305.

Fill in the blanks using one of the words : at rest, in motion. (a) A person walking in a compartment of a stationary train is  .................... relative to the compartment and is relative to the platform. (b) A person sitting in a compartment of a moving train is  ................... relative to the other person sitting by his side and is relative to the platform.

Answer»

(a) A person walking in a compartment of a stationary train is in motion relative to the compartment and is in motion relative to the platform. 

(b) A person sitting in a compartment of a moving train is at rest  relative to the other person sitting by his side and is in motion relative to the platform.

306.

Name five different types of motion you know.

Answer»

The different types of motion are : 

1. Translatory motion 

2. Rotatory motion 

3. Oscillatory motion 

4. Vibratory motion 

5. Periodic motion 

6. Multiple motion 

7. Random motion.

307.

Motion and Rest are always relative but never absolute. Explain with suitable examples.

Answer»

Rest and motion are the relative terms because they depend on the observer’s frame of reference. If an observer is at rest in his or her own frame of reference, but he may be moving in other observer's frame of reference. So if two different observers are not at rest with respect to each other, then they too get different results when they observe the motion or rest of a body.

308.

Fill in the blanks (a) Two boys cycling on the road with the same ................ are at rest relative to each other. (b) The motion in a ..........  line is rectilinear motion. (c) One to and fro motion of a clock pendulum takes time = .............(d) 36 km h-1 =  ..............  m s-1 (e) Total distance travelled =  ................ × total time taken. (f) The weight of a girl is 36 kgf. Her mass will be ....................kg. (g) The weight of a body is measured using a ........................

Answer»

(a) Two boys cycling on the road with the same speed are at rest relative to each other. 

(b) The motion in a straight line is rectilinear motion. 

(c) One to and fro motion of a clock pendulum takes time = 2 s 

(d) 36 km h-1 = 10 m s-1 

(e) Total distance travelled = average speed × total time taken. 

(f) The weight of a girl is 36 kgf. Her mass will be 36 kg. 

(g) The weight of a body is measured using a spring balance.

309.

Fill in the following blanks with suitable words: (a) Displacement is a ………… quantity whereas distance is a ………. Quantity. (b) The physical quantity which gives both the speed and direction of motion of a body is called its ………… ( c ) A motorcycle has a steady ......... of `3m//s^(2)` . This means that every .......... its .........increase by .......... (d) Velocity is the rate of change of ...........It is measured in ........... (e) Acceleration is the rate of change of ......... It is measured in ...........

Answer» (a) vector, scalar
(b) velocity
(c ) acceleration , speed (or velocity) , 3 m/s
(d) displacement , m/s
(e) velocity , m/`s^(2)`
310.

What is the SI unit of retardation ?

Answer»

S.I. unit of retardation is m/s2 .

311.

What type of motion, uniform or non-uniform, is exhibited by a freely falling body ? Give reason for your answer.

Answer»

A freely falling body has non-uniform motion because it covers smaller distances in the initial ‘1 second’ intervals and larger distances in the later ‘1 second’ intervals, i.e., it covers unequal distances in equal intervals of time.

312.

What type of motion is exhibited by a freely falling body ?

Answer» Uniformly accelerated motion
313.

. What type of motion is exhibited by a freely falling body?

Answer»

Uniformly accelerated motion

314.

What is the SI unit of retardation?

Answer»

SI unit of retardation is m/s2

315.

What type of motion, uniform or non-uniform is exhibited by a freely falling body? Give reason for your answer.

Answer»

A freely falling body has a non-uniform motion because in the initial 1 second the distance covered is small and in the later 1 second the distance covered is large. As the distance covered is uneven, the motion is non-uniform.

316.

Fill in the following blanks with suitable words: a) Displacement is a ……… quantity whereas distance is a ………. b) The physical quantity which gives both, the speed and direction of motion of a body is called its ………. c) A motorcycle has a steady ………. of 3 m/s2 . This means that every ……….. its …………. increases by …………. d) Velocity is the rate of change of ……….. it is measured in ………. e) Acceleration is the rate of change of ………. it is measured in ……

Answer»

a) Vector and scalar

b) Velocity 

c) Acceleration, second, velocity, 3m/s 

d) Displacement, m/s 

e) Velocity, m/s2

317.

Fill in the following blanks with suitable words : (a) Displacement is a…………………… quantity whereas distance is a…………………………. (b) The physical quantity which gives both, the speed and direction of motion of a body is called its……………………….. (c) A motorcycle has a steady……………. of 3 m/s2 . This means that every………………. its…………….. increases by…………. (d) Velocity is the rate of change of……………………… It is measured in . (e) Acceleration is the rate of change of………………. It is measured in

Answer»

(a) vector, scalar

(b) velocity

(c) acceleration, second, velocity, 3m/s

(d) displacement, m/s

(e) velocity, m/s2

318.

One of the following is not a vector quantity. This one is: a) displacement b) speed c) acceleration d) velocity

Answer»

The correct answer b) speed

319.

Which of the following could not be a unit of acceleration?a) km/s2 b) cm.s-2 c) km/s d) m/s2

Answer»

The correct answer c) km/s

320.

Which of the following could not be a unit of speed? a) km/h b) s/m c) m/s d) mm.s-1

Answer»

The correct answer b) s/m

321.

Which of the following could not be a unit of speed ?A. km/hB. s/mC. m/sD. mm `s^(-1)`

Answer» Correct Answer - B
322.

Give two examples of vector quantity.

Answer»

Two examples of vector quantities are: 

  • Velocity 
  • acceleration 

Since in both the cases both the magnitude as well as the direction plays a role in assessing its true value.

323.

Velocity is a vector quantity. What do you mean by vector quantities? Write examples.

Answer»

Quantities having both magnitude and direction are called vector quatities. 

eg: Displacement, Acceleration.

324.

One of the following is not a vector quantity. This one is :A. displacementB. speedC. accelerationD. velocity

Answer» Correct Answer - B
325.

The velocity of a particle is `v = v_(0) + gt + ft^(2)`. If its position is ` x=0 ` at ` t= 0 `, then its displacement after unit time `( t = 1 )` isA. `( v_(0) + g//2 + f)`B. `( v_(0) + g//2 + 3f)`C. `( v_(0) + g/2 + (f )//(3)`D. `( v_(0) + g + f)`

Answer» Correct Answer - C
We know that , ` v = (dx) /(dt) rArr dx = v dt)`
Integrating , `int _(0)^(x) dx = int _(0)^(t) v dt `
or` x = int _(0)^(t) ( v_(0) + gt + ft^(2)) dt = [ v_(0)t (gt^(2)/(2) + (ft^(3)/(3) ]_(0)^(t) `
or, ` x = v_(0)t + (gt^(2))/(2) + (ft^(3))/(3) `
At ` t= 1, x = 0 v_(0) + (g)/(2) + (f)/(3)`.
326.

The relation between time `t` and distance `x` is `t = ax^(2)+ bx` where `a and `b` are constants. The acceleration isA. ` 2 bv^(3)`B. ` - 2 abv^(2)`C. ` 2 av^(2)`D. ` -2 av^(3)`

Answer» Correct Answer - D
`t = ax^(2) + bx` ,Diff. with repect to time `(t)`
` (d)/(dt)(t) = a(d)/(dt) (x^(2)) + b(dx)/(dt) = a.2x (dx)/(dt) + b.(dx)/(dt)`
` 1 = 2axv + bv = v( 2ax +b) rArr 2ax +b = 1/v`.
Again differentating , ` 2a(dx)/(dt) + 0 = -1/v^(2) (dv)/dt) `
`rArr (dv)/(dt) = f = -2av^(3)` `(because (dv)/(dt) = f = acc)`
327.

A stone is thrown in a vertically upward direction with a velocity of `5 m//s`. If the acceleration of the stone during its motion is `10 m//s^(2)` in the downward direction, what will be the height attained by the stone and how much time will take to reach there ?

Answer» When the stone is thrown vertically upwards, then the velocity of stone goes on decreasing because of force of gravity of earth acting on it in the downward direction. So, the acceleration produced in the stone is negative and hence it is to be written with a minus sign (as, -10 m `s^(-2)`).
Now, `" "` Initial velocity of stone, `u` = 5 m `s^(-1)`
`" "` Final velocity of stone, `v` = 0 `" " ` (It stops at the top)
`" "` Acceleration, `a= -10" m "s^(-2)`
And, `" "` Distance travelled, s = ? `" "` (To be calculated)
`" "` (or Heifht attained)
Now, `" " v^(2) = u^(2) + 2 as`
So, `" "(0)^(2) = (5)^(2) +2 xx (-10)xxs`
`" "0=25 -20 s `
`" "` 20 s = 25
`" " s= (25)/(20)`
`" " s = 1.25 ` m
Thus, the height attained by the stone will be 1.25 metre.
Let us find out the time now. We know that :
`" " v = u+at`
So, `" " 0= 5+(-10)xxt`
`" "0= 5- 10t`
`" " 10 t = 5 `
`" "t =(5)/(10)`
`" " t = 0.5 s `
Thus, the time taken by the stone to reach at the top will be 0.5 second.
328.

A body is thrown vertically upward with velocity `u`, the greatest height `h` to which it will rise is,A. `u//g`B. `u^(2)//2g`C. `u^(2)//g`D. `u//2g`

Answer» Correct Answer - (b)
At the highest point, `v = 0`
From `v^(2) - u^(2) = 2 as`
`0 -u^(2) = 2 (-g)h, h = (u^(2))/(2g)`
329.

A stone is thrown in vertically upward direction with a velocity of 5ms-1 If the acceleration of the stone during its motion is 10ms-2 in the downward direction, what will he the height attained by the stone and how much time will it take to reach there?

Answer»

Initial velocity of a stone, u = 5 ms-1.

Final velocity of a stone v = 0 (at rest)

If the acceleration of the stone during its motion is = -10ms-2.

Let the maximum height be ‘s’

v = u + at

0 = 5 + (-10)t

t = \(\frac{-5}{10}\) = 0.5s

time taken by stone = 0.5s

As per 3rd Law of motion

v2 = u2 + 2as

(0)2 = (5)2 + 2(-10)s

∴ S = \(\frac{5^2}{20}=\frac{25}{20}\) = 1.25 m

Height attained by the store = 1.25 m.

330.

A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone up to will be:A. `20 sqrt(2) m`B. `10 m`C. `10 sqrt(2) m`D. `20 m`

Answer» Correct Answer - D
` R = (u^(2) sin 2 theta )/ ((g)) rArr R _(max) = (u^(2))/(g) `
` R _(max) = (10 xx g xx 2)/ (g) = 20 meter `
331.

Two cars of mass ` m_(1) and m_(2) ` are moving in circle of radii `r_(1) and r_(2) ` , respectively . Their speeds are such that they make complete circles in the same time `t` . The ratio of their centripetal acceleration is :A. ` m_(1) r_(1) : m_(2) r(2)`B. `m_(1) : m_(2)`C. ` r_(1) : r_(2)`D. ` 1:1`

Answer» Correct Answer - C
` a = r w^(2) = r xx((2 pi)/(t))^(2))`
`:. (a_(1))/(a_(2)) = (r_(1))/(r_(2))` [ `:. T` is same ]
332.

Four persons `K , L, M, N ` are initially at the four corners of a square of side `d`. Each person now moves with a uniform speed `v` in such a way that `K` always moves directly towards ` L ,L` directly towards ` M, M` directly towards `N` , and `N` directly towards `K`. The four persons will meet at a time .............. .

Answer» Correct Answer - D
The relative velocity of `K` w.r.t `L` along the line `KL` is `vec(v)_(KL) = vec(v)_(K) - vec(v)_(L) = vec(v)_(K)+(-vec(v)_(L))`
` = v`
(`because` the component of velocity of `L ` along `KL` is zero )
The displacement of `K` till `K` and `L` meet is `d`.
`:.` Time taken for `K` and `L` to meet will be `= (d)/(v)`
333.

Write true or false for the following statements: The motion in animals is called locomotion. Mechanics deals with the motion of non-living objects.

Answer»

True 

Mechanics is a branch of physics that deals with motion of non – living objects. 

The motion of animals is locomotion and the laws of mechanics cannot be applied to it. Locomotion is a complex phenomenon of movement of different body parts and transition from one place to another.

334.

The unit of distance is A) m B) s C) kg D) m/s

Answer»

Correct option is A) m

335.

A projectile is given an initial velocity of ` ( hat(i) + 2 hat (j) ) m//s`, where ` hat(i)` is along the ground and `hat (j)` is along the vertical . If ` g = 10 m//s^(2) `, the equation of its trajectory is :A. ` y = x - 5 x^(2)`B. ` y = 2x - 5 x^(2)`C. ` 4y = 2x - 5 x^(2)`D. ` 4y = 2x - 25 x^(2)`

Answer» Correct Answer - B
` vec(u) = hat(i) + 2hat(j) = u_(x)hat(i)+ u_(y)hat(j) rArr u cos theta = 1 , u sin theta = 2 `
` y = x tan theta - 1/2 (gx^(2))/(u_(x)^(2))`
`:. y = 2x - 1/2 gx^(2) = 2x - 5x^(2) `
336.

The average speed between B to C is A) 1.5 m/s B) 2.5 m/s C) 2m/s D) 4m/s

Answer»

Correct option is B) 2.5 m/s

337.

The ratio of speed and velocity is A) Always equal to 1 B) Always greater than 1 C) Always less than 1 D) Depends on the direction of motion

Answer»

B) Always greater than 1

338.

The device that shows the average speed of the vehicle is A) Speedometer B) Gear box C) Odometer D) A or C

Answer»

Correct option is D) A or C

339.

A particle on a blade of the electrical fan moves in A) uniform motion B) uniform speed C) circular path D) above all

Answer»

D) above all

340.

ACB is an arc of a circle and ADB is the diameter of that circle. The ratio of distance and displacement from A to B isA) π B) π/2C) 2π D) π/4

Answer»

Correct option is D) π/4

341.

A baby is crawling. The motion is said to be ……………..(a) linear (b) periodic(c) circular (d) random

Answer»

Option : (d) random

342.

Explain and giving one example each :(a) Linear motion(b) Oscillatory motion(c) Circular motion(d) Random motion(e) Periodic motion

Answer»

(a) Linear motion :

An object that shows displacement along a straight line is called linear motion, 

e.g. A vehicle moving on a road.

(b) Oscillatory motion :

The motion of a body swinging back and forth is called oscillatory motion, 

e.g. Motion of a pendulum of a clock.

(c) Circular motion :

The motion of an object along a circular path is called circular motion, 

e.g. Motion of a ceiling fan.

(d) Random motion :

The motion that changes its direction and speed continuously is called random motion, 

e.g. Motion of a butterfly.

(e) Periodic motion :

The repetitive motion in which the moving object passes through a certain point again and again after a fixed period is called as periodic motion, 

e.g. The minute hand of a clock.

343.

Take a large stone and a small eraser. Stand on the top of a table and drop them simultaneously from the same height?What do you observe? Now, take a small eraser and a sheet of paper. Drop them simultaneously from the same height?What do you observe? This time, take two sheets of paper having same mass and crumple one of the sheets into a ball. Now, drop the sheet and the ball from the same height. What do you observe?

Answer»

Both the stone and the eraser have reached the surface of the Earth almost at the same time in the absence of air medium (vacuum). But in air medium, due to friction, air offers resistance to the motion of free falling objects. The eraser reaches the first, the sheet of paper reaches later. The air resistance exerted on the sheet of paper is much higher than that of the eraser. The paper crumpled into a ball reaches ground first and plain sheet of paper reaches later, although they have equal mass. The air resistance offer to the plain sheet of paper is much higher than that offered to the paper ball. This is because the magnitude of air resistance depends on the area of objects exposed to air

344.

Observe the motion of a car as shown in the figure and answer the following questions:Compare the distance covered by the car through the path ABC and AC. What do you observe? Which path gives the shortest distance to reach D from A? Is it the path ABCD or the path ACD or the path AD?

Answer»

1. AB + BC 

ABC = 4m + 3m=7m 

AC = 5 m 

2. AB + BC + CD

ABCD = 4m + 3m + 4m = 11m 

ACD = AC + CD = 5m + 4m = 9m 

AD = 3 m 

The shortest distance to reach D from A will be AD, that is 3 m.

345.

Which one of the following is most likely not a case of uniform circular motion?(a) Motion of the Earth around the Sun (b) Motion of a toy train on a circular track (c) Motion of a racing car on a circular track (d) Motion of hour’s hand on the dial of the clock

Answer»

(a) Motion of the Earth around the Sun

346.

Assertion and Reason type Question.Mark the correct choice as: (a) If both assertion and reason are true and reason is the correct explanation of assertion. (b) If both assertion and reason are true but reason is not the correct explanation of assertion. (c) If assertion is true but reason is false. (d) If assertion is false but reason is true.1. Assertion: The accelerated motion of an object may be due to change in magnitude of velocity or direction or both of them. Reason: Acceleration can be produced only by change in magnitude of the velocity. It does not depend the direction.2. Assertion: The Speedometer of a car or a motorcycle measures its average speed. Reason: Average velocity is equal to total displacement divided by total time taken.3. Assertion: Displacement of a body may be zero when distance travelled by it is not zero. Reason: The displacement is the shortest distance between initial and final position

Answer»

1. (c) If assertion is true but reason is false.

2. (d) If assertion is false but reason is true.

3. (a) If both assertion and reason are true and reason is the correct explanation of assertion.

347.

Complete the following sentences. (a) The acceleration of the body that moves with a uniform velocity will be …………….. .(b) A train travels from A to station B with a velocity of 100 km/h and returns from station B to station A with a velocity of 80 km/h. Its average velocity during the whole journey in ……………. and its average speed is ……………… .

Answer»

(a) constant

(b) zero, 90 km/h

348.

Compare Speed and Velocity.

Answer»
S. No.SpeedVelocity
1.The rate of change of distanceThe rate of change of displacement
2.Scalar quantityVector quantity
3.Speed = \(\frac{Distance\, travelled}{time\, taken}\)Velocity = \(\frac{Displacement}{time\, taken}\)

349.

Match the followingList IList II1. Motion of a body covering equal distance in equal interval of time2. Motion with non uniform acceleration3. Constant retardation4. Uniform acceleration

Answer»

1. (D) 

2. (C) 

3. (A)

 4. (B)

350.

State three differences between mass and weight.

Answer»

Mass 

It is the quantity of matter contained in a body. Its S.J. unit is kilogram (kg) It is constant for a body and it does not change by changing the place of the body. It is measured by a beam balance.

Weight 

It is the force with which the earth attracts the body. Its S.I. unit is newton (N) and other unit is kilogram-force (kg f) where 1 kg f= 1  ON(nearly). It is not constant for a body, but it changes from place to place. It is measured by a spring balance.