NATA Mock Test - 6 - JEE MCQ

Time required to empty the tank

PV = constant, according to Boyle’s law
∴ PV = constant
∴ PdV + VdP = 0

The equation between β and P is of the form xy = constant which represents a rectangular hyperbola.
∴ Graph between β and P will be a rectangular hyperbola represented by graph (a)

After two half-lives 1/4 th fraction of nuclei will remain undecayed. Or, 3/4 th fraction will decay. Hence, the probability that a nucleus decays in two half lives is 3/4.

Electromagnetic waves can propagate in material as well as vacuum.

1s⁷ violate Pauli exclusion principle, according to which an orbital cannot have more than two electrons.

Lone pair is not involved in resonance, most basic. In all other cases, lone-pair of nitrogen is involved in resonance, less basic.

EDTA, Which has four lone pair donor oxygen atoms and two lone pair donor nitrogen atoms in each molecule forms complex with Ca²⁺ ion. EDTA is hexa due to need 1 EDTA to form octahedral completes with ca⁺²

P(r) = ψ²4πr²dr
4πr²dr  = dv = vol of thin spherical shell around nucleus at distance (r)

Total Moles 1 + α at equilibrium observed Molar Mass at equilibrium

[Cancelling x as x ≠ 0]

Alternate Solution
Use L’Hospital Rule,

The centre of C₁ = (2,1) and the radius 

Solving Eqs. (i) and (ii), we get
α = - 1 , β = 6
∴ Third vertex is (-1, 6).

Any tangent to y² = 4ax is  It touches x² = 4ay if 
has equal roots.
So m³ + 1 = 0, i e , m = -1 Hence, the common tangent is y = - x - a

Let α , β , γ be the angles, which the line makes with the positive directions of x-axis, y-axis and z-axis respectively


Hence the line makes an angle of 60° with the positive direction of z-axis

3rd column: 2+1+3+3=9 gives 9th position alphabet I . 4th column: 8+4+9+5=26 gives 26th position alphabet Z . 5th column: 7+3+1+2=13 gives 13th position alphabet M.

All given figures have three visible surfaces, namely 1,2 and 3:

(A)

(B)

(C)

(D)

In figure (B), surface 1 is not matching with given (3 D) figure.

In figure (C) surface 3 is not matching with given (3 D) figure.

In figure (D), surface 1 and 3 are not matching with given (3 D) figure Figure (A) is identical with the given (3 D) figure.

6×2−3=9

9×2−2=16

16×2−1=31

The day aims to encourage local communities and individuals to consider the importance of cultural heritage to their lives, identities and communities, and to promote awareness of its diversity and vulnerability and the efforts required to protect and conserve it.

Theme for 2017 : Cultural Heritage and Sustainable Tourism This year, the theme is 'Cultural Heritage and Sustainable Tourism'.

The United Nations Educational, Scientific and Cultural Organisation (UNESCO) has recognised 35 World Heritage Sites in India. UNESCO had inscribed Nalanda Mahavihara or old Nalanda University of Bihar as World Heritage Site on July 15, 2016.

In a first, after including Nalanda University, UNESCO also listed Chandigarh's Capitol Complex and Sikkim's Khangchendzonga National Park that includes world's third highest peak Mount Khangchendzonga among its World Heritage Sites. This was the first time that any country was able to get three sites included in the UNESCO's World Heritage list at a single session of the committee meeting.

From the magnificent Taj Mahal to the architectural ruins of Hampi, India is home to 35 World Heritage Sites, which are recognised by UNESCO. Established in 1972 , the UNESCO World Heritage Convention describes the places that hold importance of cultural or natural heritage