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Ask QuestionPosted by Jatin Naik 4 years, 10 months ago
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Posted by Siddharth .(.$Id) 4 years, 10 months ago
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Posted by Rajmani Kumari 4 years, 10 months ago
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Rishabh Yadav 4 years, 10 months ago
Posted by Samarth Sharma 4 years, 10 months ago
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Yogita Ingle 4 years, 10 months ago
Principle of Homogeneity of Equation/Dimensions -
An equation relating physical quantities must have the same dimensions on left hand side as on the right hand side.
For example, if we know displacement, s, depends upon initial velocity, u, acceleration,a and time, t.
and ask ourselves what must be the equation connecting all these. The principle of homogeneity tells us that
if we write, displacement s on left hand side then on the right hand side, u, a and t must be combined to get displacement dimensions or units. Hence
s = ut + at2
[L] = [LT -1] [T] + [LT -2] [T]2
[L] = [L] + [L]
So that means we can add a length to another length.
And we'll the resultant quantity with the dimensions of length.
As we can see the principle of homogeneity tells us the form of the equation, the exact equation is obtained by theoretical analysis,
and we know that the correct equation is,
s = ut + at2/2
Posted by Varsha Baboria 4 years, 10 months ago
- 1 answers
Yogita Ingle 4 years, 10 months ago
Bernoulli’s Principle
- For a streamline fluid flow, the sum of the pressure (P), the kinetic energy per unit volume (ρv2/2) and the potential energy per unit volume (ρgh) remain constant.
- Mathematically:- P+ ρv2/2 + ρgh = constant
- where P= pressure ,
- E./ Volume=1/2mv2/V = 1/2v2(m/V) = 1/2ρv2
- E./Volume = mgh/V = (m/V)gh = ρgh
Posted by Sukhpreet Kaur 4 years, 10 months ago
- 1 answers
Dεερακ Ȿιηɠꜧ 4 years, 10 months ago
$$S=[L]$$
$$(u+at²)= ([L¹T-¹]+[L¹T-² T²])=[L¹T-¹]$$
Hence it is dimensionally incorrect
Posted by Ranjan Borah 4 years, 10 months ago
- 2 answers
Dεερακ Ȿιηɠꜧ 4 years, 10 months ago
Yogita Ingle 4 years, 10 months ago
The meaning of velocity of an object can be defined as the rate of change of the object’s position with respect to a frame of reference and time. It might sound complicated but velocity is basically speeding in a specific direction. It is a vector quantity, which means we need both magnitude (speed) and direction to define velocity. The SI unit of it is meter per second (ms-1) if there is a change in magnitude or the direction in the velocity of a body the body is said to be accelerating.
Posted by Sadiya Patel 4 years, 10 months ago
- 1 answers
Yogita Ingle 4 years, 10 months ago
- Robert Hooke was the scientist who gave Hooke’s law.
- Hooke’s law states that within the elastic limit, stress developed is directly proportional to the strain produced in a body.
- Consider a scenario where we apply external force to the body. As a result stress develops in the body due to this stress there will be a strain produced in the body which implies that there will be some deformation in the body.
- Because of stress, strain is produced.
- According to Hooke’s law, if strain increases the stress will increase and vice-versa.
- The Hooke’s law is applicable to all elastic substances.
- It does not apply to plastic deformation.
- Mathematically :
- stress ∝ strain
- stress = k × strain
- Where k is the proportionality constant and is known as modulus of elasticity.
Posted by ?????? ?? 4 years, 10 months ago
- 2 answers
Yogita Ingle 4 years, 10 months ago
Elasticity is that property of the object by virtue of which it regain its original configuration after the removal of the deforming force.
Bhumika Panwar 4 years, 10 months ago
Posted by Arihant Jain 4 years, 10 months ago
- 2 answers
Gagandeep Kaur 4 years, 9 months ago
Gaurav Seth 4 years, 10 months ago
Work energy theorem states that the change in kinetic energy of an object is equal to the net work done on it by the net force.
Let us suppose that a body is initially at rest and a force 
is applied on the body to displace it through 
along the direction of the force. Then, small amount of work done is given by
Also, according to Newton's second law of motion, we have
where a is acceleration produced (in the direction of force) on applying the force. Therefore,
Now, work done by the force in order to increase its velocity from u (initial velocity) to v (final velocity) is given by
Hence, work done on a body by a force is equal to the change in its kinetic energy.
Posted by Sachin Kumar Verma 4 years, 10 months ago
- 1 answers
Yogita Ingle 4 years, 10 months ago
The unit of coefficient of viscosity can be understood by defining the coefficient of viscosity.
Following is the unit of coefficient of viscosity in different systems:
- SI unit: Ns.m-2
- CGS unit: poise
Posted by Kajal Verma 4 years, 10 months ago
- 1 answers
Jagdish 4 years, 10 months ago
Posted by Satish Bhardwaj 4 years, 10 months ago
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Meghna Thapar 4 years, 10 months ago
The perpendicular axis theorem states that the moment of inertia of a planar lamina about an axis perpendicular to the plane of the lamina is equal to the sum of the moments of inertia of the lamina about the two axes at right angles to each other, in its own plane intersecting each other at the point where the perpendicular axis passes through it.
Posted by Satish Bhardwaj 4 years, 10 months ago
- 2 answers
Meghna Thapar 4 years, 10 months ago
The value of 'g' that is gravity is greater at the poles because the gravitational pull is maximum at the poles and decreases as it comes down toward the equator. Because the force due to gravitational attraction between two bodies (the Earth and the object being weighed) varies inversely with the square of the distance between them, an object at the Equator experiences a weaker gravitational pull than an object at the poles.
Posted by Kajal Yadav 4 years, 10 months ago
- 3 answers
Posted by Kajal Verma 4 years, 10 months ago
- 3 answers
Gaurav Seth 4 years, 10 months ago
scalar quantity :- the quantity which can be added or subtracted by algebraic rules. Or in simply , a quantity is said scalar quantity when it has only magnitude. here , mass , length and magnitude of acceleration are scalar quantity.
Vector quantity has magnitude as well as direction and it follows the triangle rule of addition. Here momentum is vector quantity because momentum is the product of mass and velocity and velocity is a vector .
Posted by Kajal Verma 4 years, 10 months ago
- 3 answers
Yogita Ingle 4 years, 10 months ago
The number of significant figures in 0.000040027 m2 is 5.
If the number is less than one, then the zeroes on the right of the decimal point (but left to the first non-zero) are insignificant. Hence, all four zeroes appearing before 4 are not significant figure. All zero between two non-zero digit are always significant. Hence, the remaining five digits are significant figures.
Posted by Ruksana Bano 4 years, 10 months ago
- 2 answers
Yogita Ingle 4 years, 10 months ago
The dimensional formula of Coefficient of Viscosity is given by,
M1 L-1 T-1
Where,
- M = Mass
- L = Length
- T = Time
Posted by ?????? ?? 4 years, 10 months ago
- 3 answers
Alfez Ansari 4 years, 10 months ago
Yogita Ingle 4 years, 10 months ago
Hydraulic brakes work on the principle of Pascal’s law. According to this law whenever pressure is applied on fluid it travels uniformly in all the directions. Therefore when we apply force on a small piston, the pressure gets created which is transmitted through the fluid to a larger piston. As a result of this larger force, uniform braking is applied on all four wheels. As braking force is generated due to hydraulic pressure, they are known as hydraulic brakes. Liquids are used instead of gas as liquids are incompressible.
Posted by Aman Yadav 4 years, 10 months ago
- 1 answers
Yogita Ingle 4 years, 10 months ago
According to Pascal’s law, “The external static pressure applied on a confined liquid is distributed or transmitted evenly throughout the liquid in all directions”.
Following is the formula of Pascal law:
| F = PA |
Where,
- F is the force applied
- P is the pressure transmitted
- A is the cross-sectional area
Posted by Sachi Chauhan 4 years, 10 months ago
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Posted by Ranjan Borah 4 years, 10 months ago
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Posted by Ranjan Borah 4 years, 10 months ago
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Posted by Ranjan Borah 4 years, 10 months ago
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Posted by Sakthi Saminathan 4 years, 10 months ago
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Ranjan Borah 4 years, 10 months ago
Posted by Chamkaur Singh 4 years, 10 months ago
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