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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 501. |
two particles are projected upwards with the same initial velocity `v_(0)` in two different angles of projection such that their horizontal ranges are the same. The ratio of the heights of their horizontal ranges are the same. The ratio of the heights of their highest point will beA. `tan^(2) theta_(1)`B. `v_(0)^(2) sin^(2) theta_(1)`C. `v_(0) sin theta_(1)`D. `v_(0)//cos theta_(1)` |
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Answer» Correct Answer - A As the horizontal ranges are the same. `:. (v_(0)^(2)sin 2 theta)/(g) = (v_(0)^(2)sin 2 theta_(2))/(g)` So, `sin 2theta_(1) = sin 2theta_(2)` or `2 theta_(1) = pi - theta_(2)` `rArr theta_(1) +theta_(2) = pi//2` `:. (h_(1))_(max) = (v_(0)^(2)sin^(2)theta_(1))/(2g)` and `(h_(2))_(max) = (v_(0)^(2)sin^(2)theta_(2))/(2g)` `:. ((h_(1))_(max))/((h_(2))_(max)) =(sin^(2)theta_(1))/(sin^(2)theta_(1)) =(sin^(2)theta_(1))/(cos^(2)theta_(1)) = tan^(2)theta_(1)` |
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| 502. |
The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile isA. `theta = tan^(-1) ((1)/(4))`B. `theta = tan^(-1)(4)`C. `theta = tan^(-1)(2)`D. `theta = 45^(@)` |
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Answer» Correct Answer - B Given, `R = H` Range, `R = (u^(2)(2 sin theta cos theta))/(g)` Height, `H = (u^(2)sin^(2)theta)/(2g)` Hence, `(u^(2)(2sin theta cos theta))/(g) = (u^(2)sin^(2)a)/(2g)` `2 cos theta = (sin theta)/(2) rArr tan theta = 4 rArr theta = tan^(-1)(4)` |
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| 503. |
Assertion: For projection angle `tan^(-1)(4)`, the horizontal range and the maximum height of a projectile are equal. Reason: The maximum range of projectile is directely proportional to square of velocity and inversely proportional to acceleration due to gravity.A. If both Asseration and Reason are correct and Reason is the correct explanation of AssertionB. If both Assertion and Reason are correct but Reason is not the correct explanation of AssertionC. If Assertion is true but Reason is falseD. If Assertion is false but Reason is true |
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Answer» Correct Answer - B `H = R` or `(u^(2)sin^(2)theta)/(2g) = (2u^(2)sin theta cos theta)/(g)` or `tan theta = 4` |
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| 504. |
A body is projected at an angle of `30^(@)` with the horizontal with momentum `P`.At its highest point the magnitude of the momentum is:A. `(sqrt(3))/(2)p`B. `(2)/(sqrt(3))p`C. pD. `(p)/(2)` |
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Answer» Correct Answer - A At highest point velocity will remain `v cos 30^(@)` or `(sqrt(3)v)/(2)`. Therefore, momentum will also remain `(sqrt(3)p)/(2)`. |
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| 505. |
The maximum height attaine by a projectile is increased by ` 10%` by increasing its speed of projecton, without changing the angle of projection. What will the percentage increase in the horizontal range.A. 0.2B. 0.15C. 0.1D. 0.05 |
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Answer» Correct Answer - C H and R both are proportional to `u^(2)`. Hence, percentage increases in horizontal range will also be `10%`. |
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| 506. |
A table clock has its minutes hand 4 cm long. Find the average velocity of the tip of the minute hand between 6.00 AM to 6.30 AM. |
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Answer» The minute hand of a clock comes into a straight line from 6.00 AM to 6.30 AM. Hence the displacement of the minute hand S = 2 x 4 = 8 cm Time = 30 minutes = 1800 sec. Average velocity=\(\frac{Displacement}{time}\)=\(\frac{8 cm}{1800 sec}\)=0.0044 cm/sec |
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| 507. |
Consider the motion of the tip of the minute hand of a clock in one hour A) distance is zero B) displacement is zero C) the average speed is zeroD) average velocity is non-zero |
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Answer» A) distance is zero |
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| 508. |
If the angle of projection of a projector with same initial velocity exceed or fall short of `45^(@)` by equal amount `alpha`, then the ratio of horizontal rages isA. `1:2`B. `1:3`C. `1:4`D. `1:1` |
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Answer» Correct Answer - D Given,`theta_(1) = theta_(2) = 45^(@)` `theta_(1) + theta_(2) = (45^(@) +alpha) +(45^(@) -alpha) = 90^(@)` `u_(1) = u_(2) = u rArr R_(1) = R_(2) = ?` `R_(1) = (u_(1)^(2)sin (theta_(1)+theta_(2)))/(g)` `rArr R_(1) = (u^(2)sin 90^(@))/(g) = (u^(2))/(g)` ........(i) Similarly, `R_(2) = (u_(2)^(2)sin (theta_(1)+theta_(2)))/(g)` `rArr R_(2) = (u^(2)sin 90^(@))/(g) = (u^(2))/(g)` .....(ii) The ratio of horizontal ranges `(R_(1))/(R_(2)) = (u^(2)//g)/(u^(2)//g) = 1:1 rArr R_(1):R_(2) = 1:1` |
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| 509. |
In ancient times, the distance between two places was measured by footsteps. Short distances were mearsured by fingers and hand spans. Are these methods of measurement correct ? |
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Answer» No, the different sizes of foot-spans and fingers etc, of different persons result in inaccurate measurements. |
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| 510. |
Write name of small and big standard of measurement of distance, and give relation between them |
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Answer» All countries over the world use a unit system that is known as the ‘International system of Units’, The SI unit of length is meter, each meter (m) is divided into hundred equal divisions, each division is called as the centimeter (cm), each centimeter is further divided into ten smaller divisions and each smaller division is known as the millimeter (mm). 1 meter = 100 centimeters 1 centimeter = 10 millimeters 1 meter = 1000 millimeters For measuring large distance, we use a bigger unit called the kilometer (km). 1 kilometer = 1000 meters |
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| 511. |
What method was used in Ancient times for measurement of distance ? Was this measurement correct ? |
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Answer» In Ancient times, the method for measurement of distance wras foot spans and fingers. This was incorrect method, because the different sizes of foot spans and fingers etc of different persons result in inaccurate measurements. |
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| 512. |
What is SI unit of length ? |
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Answer» Meter is SI unit of length. |
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| 513. |
Rotatory motion is (a) Simple linear motion (b) Circular motion (c) Periodic motion (d) Vibratory motion |
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Answer» (b) Circular motion |
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| 514. |
What is international standard of measurement ? |
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Answer» All countries of the world follow a standard for measurement, it is called international system of units (S.I)unit. |
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| 515. |
Fill in the blanks 1. The motion of the pendulum of a wall clock is ………. . 2 The motion of the wheel of a car is an example of ……… motion. 3. The motion of a truck moving on a straight road is ………….. motion.4. 1 kilometer is equal to …………. meters. |
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Answer» 1. periodic motion 2. circular 3. straight line 4. 1000 |
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| 516. |
Define circular motion. |
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Answer» The motion of an object on a fixed circular track is called circular motion. |
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| 517. |
The S.I. unit of length is (a) kilometer (b) Meter (c) Second (d) Gram |
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Answer» The S.I. unit of length is Meter |
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| 518. |
Write name of two objects performing vibratory motion. |
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Answer» 1. Sitar 2. Guitar |
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| 519. |
In which one of the following cases will the distance covered and the magnitude of the displacement are not the same? Justify. (i) A passenger in a train travels from Delhi to Kolkata. (ii) A raindrop falling in still air. (iii) An athlete completes one lap in a race. |
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Answer» (iii) An athlete completes one lap in a race As the track is circular, the displacement would be zero but distance will be equal to the circumference of the track. |
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| 520. |
An example of vibratory motion is (a) Motion of a swing (b) Motion of a wheel (c) Motion of a bus (d) Motion of strings of violin |
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Answer» (d) Motion of strings of violin |
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| 521. |
What is vibratory motion ? Which type of example is vibratory motion ? |
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Answer» The motion in which the object vibrates is called as vibratory motion. In vibratory motion the object repeats its motion in a certain period of time. Thus, vibratory motion is an example of periodic motion. |
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| 522. |
Vibratory motion is (a) Oscillatory motion (b) Linear motion (c) Circular motion (d) Periodic motion. |
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Answer» (a) Oscillatory motion |
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| 523. |
In which of the following cases of motions, the distance moved and the magnitude of displacement are equal ?A. If the car is moving on straight roadB. If the car is moving on circular pathC. The pendulum is moving to and forD. The earth is moving around the Sun |
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Answer» Correct Answer - (a) When a car is moving on a straight road, distance moved is equal to magnitude of its displacement. |
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| 524. |
Distinguish between uniform and non-uniform motions, giving an example of each. |
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| 525. |
The motions of the hands of a clock are ………….. and …………. .(a) periodic, linear(b) periodic, circular(c) non-linear, non-uniform (d) circular, non-uniform |
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Answer» Option : (b) periodic, circular |
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| 526. |
What is vibratory motion ? Give one example. |
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Answer» In vibratory motion, a part of the body always remains fixed and the rest part moves to and fro about its mean position. During the vibratory motion, the shape and size of the body changes. Example : When we breath, our chest expands and contracts. This motion is vibratory motion. |
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| 527. |
Differentiate between periodic and non-periodic motions by giving an example of each. |
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Answer» Periodic motion : A motion which gets repeated after regular intervals of time is called a periodic motion. Examples : The earth moving around the sun takes 365 days to complete one revolution and this motion gets repeated after every 365 days. Non-periodic motion : The motion which does not repeat itself after regular interval of time is called non-periodic motion. Examples : A footballer running on a field, application of brakes in a moving vehicle, a ball rolling down the ground gradually slows down and finally stops, motion of tides in the sea, etc |
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| 528. |
What is random motion. Give one example. |
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Answer» Random motion— When an object in a motion has no specific path and which suddenly changes its motion is said to have a random motion. Example : A flying kite. |
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| 529. |
Name the type/types of motion being performed by each of the following: (a) Vehicle on a straight road (b) Blades of an electric fan in motion (c) Pendulum of a wall clock (d) Smoke particles from chimney (e) Hands of a clock (f) Earth around the sun (g) A spinning top. |
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Answer» (a) Rectilinear motion (b) Rotatory motion (c) Oscillatory motion, periodic motion (d) Non-periodic motion (e) Uniform circular and periodic motion (f) Rotatory motion, circular motion and periodic motion (g) Rotatory motion |
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| 530. |
The coordinates of a moving particle at any time t are given by `x = ct` and `y = bt^(2)`. The speed of the particle is given byA. `2t sqrt(b^(2)-c^(2))`B. `sqrt(4b^(2)t^(2)+c^(2))`C. `2t(b+c)`D. `2t(b-c)` |
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Answer» Correct Answer - B Given, `x = ct rArr v_(x) = (dx)/(dt) = c` Also, `y = bt^(2) rArr v_(y) = (dy)/(dt) = 2bt` `:.` Speed `=|v| = sqrt(v_(x)^(2)+v_(y)^(2)) = sqrt((c)^(2)+(2bt)^(2)) = sqrt(c^(2)+4b^(2)t^(2))` |
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| 531. |
Two balls of different masses are thrown vertically upwards with the same speed . They pass through the point of projection in their downward motion with the same speed ( Neglect air resistance ). |
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Answer» When the two balls are thrown vertically upwards with the same speed `u` then their final speed `v` at the point of projection is `v^(2) - u^(2) = 2 xx gxx s` Here , `s = 0 ` `:. v = u ` for both the cases |
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| 532. |
A body thrown vertically upwards reaches a maximum height `h`. It then returns to ground . Calculate the distance travelled and the dispacement . |
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Answer» Correct Answer - `2 h` ; zero Distance ` = h + h = 2h` Displacement ` = h - h = zero`. |
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| 533. |
Two stones are thrown up simultaneously from the edge of a cliff ` 240 m ` high with initial speed of ` 10 m//s and 40 m//s` respectively . Which of the following graph best represents the time variation of relative position of the speed stone with respect to the first ? ( Assume stones do not rebound after hitting the groumd and neglect air resistance , take ` g = 10 m//s^(2))` ( The figure are schematic and not drawn to scale )A. B. C. D. |
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Answer» Correct Answer - B ` y_(1) = 10t - 5t^(2) , y_(2) = 40t - 5t^(2) ` for ` y_(1) = -240 m , t = 8s` `:. Y_(2) - y_(1) = 30 t for t le 8s `. ` y_(2) - y _(1) = 240 - 40 t - 1/2 gt^(2) ` |
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| 534. |
A particle moved in a circular path and reached to starting point. Then the displacement is A) 2πr B) πr2 C) zero D) 2r |
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Answer» Correct option is C) zero |
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| 535. |
A person moves through `100 m` in going from `A` to `B` and travels the same distance in retuning from `B` to `A`. This displacement isA. `100 m`B. `200 m`C. `100sqrt(2)m`D. zero |
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Answer» Correct Answer - D Displacement = zero |
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| 536. |
What can you say about the motion of a body if : (a) its displacement-time graph is a straight line ? (b) its velocity-time graph is a straight line ? |
| Answer» (a) Uniform velocity (b) Uniform acceleration | |
| 537. |
What can you say about the motion of an object whose distance-time graph is straight line parallel to the time axis? |
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Answer» This graph indicates object is at rest. |
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| 538. |
What conclusion can you draw about the speed of a body from the following distance-time graph ? |
| Answer» Uniform speed | |
| 539. |
A particle is acted simultaneously by mutually perpendicular simple harmonic motion `x = a cos omega t` and `y= a sin omega t`. The frequency of motion of the particle will beA. If both Asseration and Reason are correct and Reason is the correct explanation of AssertionB. If both Assertion and Reason are correct but Reason is not the correct explanation of AssertionC. If Assertion is true but Reason is falseD. If Assertion is false but Reason is true |
| Answer» Correct Answer - D | |
| 540. |
Assertion In projectile motion, if time of flight is made two times, then maximum height will become four times. Reason `T prop sin theta` and `H prop sin^(2) theta`, where `theta` is angle of projection.A. If both Asseration and Reason are correct and Reason is the correct explanation of AssertionB. If both Assertion and Reason are correct but Reason is not the correct explanation of AssertionC. If Assertion is true but Reason is falseD. If Assertion is false but Reason is true |
| Answer» Correct Answer - A | |
| 541. |
Assertion In case of projectile motion, the magnitude of rate of change of velocity is variable. Reason In projectile motion, magnitude of velocity first decreases and then increases during the motion.A. If both Asseration and Reason are correct and Reason is the correct explanation of AssertionB. If both Assertion and Reason are correct but Reason is not the correct explanation of AssertionC. If Assertion is true but Reason is falseD. If Assertion is false but Reason is true |
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Answer» Correct Answer - D `|(dv)/(dt)| = |a| = 9.8 ms^(-2) =` constant and it is true that in case of projectile motion, the magnitude of velocity first decreases and then increases during the motion. |
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| 542. |
Assertion In projectile motion, if time of flight is 4s, then maximum height will be 20 m. (Take, `g = 10 ms^(-2))` Reason Maximum height `= (gT)/(2)`.A. If both Asseration and Reason are correct and Reason is the correct explanation of AssertionB. If both Assertion and Reason are correct but Reason is not the correct explanation of AssertionC. If Assertion is true but Reason is falseD. If Assertion is false but Reason is true |
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Answer» Correct Answer - C `H = (u^(2)sin^(2)theta)/(2g)` and `T = (2u sin theta)/(g)` `:. u sin theta = (gT)/(2)` `:.` Maximum height, `H = ((g^(2)T^(2)//4))/(2g) = (gT^(2))/(8) = (g(4)^(2))/(8) = 20m` |
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| 543. |
Assertion In projectile motion, the angle between instanteneous velocity vector and acceleration vector can be anything between o to `pi` (excluding the limiting case) Reason In projectile motion, acceleration vector is always pointing vertically downwards. (Neglect air friction.)A. If both Asseration and Reason are correct and Reason is the correct explanation of AssertionB. If both Assertion and Reason are correct but Reason is not the correct explanation of AssertionC. If Assertion is true but Reason is falseD. If Assertion is false but Reason is true |
| Answer» Correct Answer - A | |
| 544. |
State which of the quantities, mass or weight is always directed vertically downwards. |
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Answer» Mass is the quantity of matter contained in a body. Weight is the force with which the earth attracts the body. Weight is always directed vertically downwards. |
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| 545. |
Take a ball and release it from the top of a inclined plane, what is your observation ? A) Speed of the ball is constant. B) Speed of the ball increases gradually. C) Speed of the ball decreases gradually. D) Speed first increases and then decreases. |
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Answer» B) Speed of the ball increases gradually. |
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| 546. |
A vector can be represented as a directed line segment in which length indicates ……………….. and arrow indicates …………….. A) magnitude, direction B) direction, magnitude C) magnitude, speed D) speed, velocity |
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Answer» A) magnitude, direction |
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| 547. |
What do you mean by uniform motion? |
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Answer» An object is said to be in uniform motion if it covers equal distances in equal intervals of time how so ever big or small these time intervals may be. |
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| 548. |
Tie a stone to a rope. Whirl the rope and rotate the stone in a circular path cut the rope. Your observation is A) stone moves along the tangent of the path. B) stone falls in the centre of the path. C) stone takes revers direction.D) none |
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Answer» A) stone moves along the tangent of the path. |
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| 549. |
Take a piece of thread and tie a small piece of stone at one of its ends. Rotate the stone to describe a circular path with constant speed by holding the thread at the other end. Now, release the thread and let the stone go. Can you tell the direction in which the stone moves after it is released? |
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Answer» The stone moves along the straight line tangential to the circular path. This is because once the stone releases, it continues to move along the direction it has been moving at that instant. |
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| 550. |
Look around you. You can see many things: a row of houses, large trees, small plants, flying birds, running cars and many more. List the objects which remain fixed at their position and the objects which keep on changing their position. |
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Answer» 1. The objects which remain fixed at their position, and do not change their position are a row of houses, large trees and small plants. 2. The objects which keep on changing their position are flying birds, running cars and buses. |
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