In longitudinal waves the places where the coils are bunched together are called *
Compressions
Answer:
Here, m=10 kg
The resultant force acting on the body is
F=(98N)2+(6N)2=10N
Let the resultant force F makes an angle θ w.r.t. 8N force.
From figure, tanθ=8N6N=43
The resultant acceleration of the body is
a=mF=10kg10N=1ms−2
The resulatnt acceleration is along the direction of the resulatnt force.
Hence, the resultant acceleration of the body is 1 ms−2 at an angle of tan−1(43) w.r.t. 8N force.

Answer:In dimensional analysis, a dimensionless quantity (or more precisely, a quantity with the dimensions of 1) is a quantity without any physical units and thus a pure number. Such a number is typically defined as a product or ratio of quantities which do have units, in such a way that all the units cancel out.
Explanation:
- Dmitri Mendeleev- arranged elements according to their
atomic mass
- Johann Wolfgang Dobereiner-created groups of three elements,
each based on similar properties
- John Newlands-used patterns to predict undiscovered
elements
- Antoine Lavoisier-divided elements into four categories
Explanation:
The periodic table or the table depicting the arrangement of various elements has a long history. Several of the scientist starting from Lavoisier to Mendeleev contributed to the table in their might. The present table has been an evolution of the previous tables over their shortcomings.
Some of the notable contributions include-
- Mendeleev- Mendeleev arranged the elements in order of atomic mass rather than atomic mass. Through this, he also discovered new elements.
- Newlands- He formulated the Newland law of octaves similar to musical notation.
- Lavoisier- Lavoisier divided the elements into various categories and also defined elements.
- Dobereiner- He formulated the triad law which encapsulated that certain group of elements showed similar properties, hence can be grouped together.
Answer:
ΔS = - k ln (3)
Explanation:
Using the Boltzmann's expression of entropy, we have;
S = k ln Ω
Where;
S = Entropy
Ω = Multiplicity
From the question, the configuration of the molecules in a gas changes so that the multiplicity is reduced to one-third its previous value. This also causes a change in the entropy of the gas as follows;
ΔS = k ln (ΔΩ)
ΔS = kln(Ω₂) - kln(Ω₁)
ΔS = kln(Ω₂ / Ω₁) -------------(i)
Where;
Ω₂ = Final/Current value of the multiplicity
Ω₁ = Initial/Previous value of the multiplicity
Ω₂ = 
Ω₁ [since the multiplicity is reduced to one-third of the previous value]
Substitute these values into equation (i) as follows;
ΔS = k ln ( Ω₁ / Ω₁)
ΔS = k ln ()
ΔS = k ln (3⁻¹)
ΔS = - k ln (3)
Therefore, the entropy changes by - k ln (3)
