# In the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If `A sub B` and `x notin B` , then `x notin A`

Updated On: 13-5-2021

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for the homogeneous gaseous reaction

A(g) +2B(g) hArr C(g)

at 300K. the value of

K_c=0.1

When 2 mol of each of A and B are mixed then what will be the approx equilibrium pressure if 30% of A is converted to C? [given that

(3.18)^1/2 = 1.78

]

The coordination number of a metal crystallising a hcp structure is

Ferromagnetism arises becases of the sponteneous alignment of the magnetic moments due to unpaired electrons as

There are two perpendicular lines, one touches to the circle

x^(2) + y^(2) = r_(1)^(2)

and other touches to the circle

x^(2) + y^(2) = r_(2)^(2)

if the locus of the point of intersection of these tangents is

x^(2) + y^(2) = 9

, then the value of

r_(1)^(2) + r_(2)^(2)

is.

Let

pi_(1)and pi_(2)

be two planes and

angle

be a line such thet <br>

pi_(1): x + 2y + 3z = 14

<br>

pi_(2) : 2x - y +3z = 27

<br>

angle : (x+1)/2=(y+1)/3=(z+1)/4

<br> The line through P perpendicular to the plane

pi_(1)

<br> passes through the point

Discuss the following statements in groups of two pairs, each pair in a group taking opposite points of view. <br> (i) A single event may change the course of the history of a nation. <br> (ii) Reality is what is directly experienced through the senses. <br> (iii) The methods of inquiry of history, science and philosophy are similar.

In the mesophyll cells of leaves the chloroplast get aligned parallel to the wall when-

If total number of runs secored is n matches is

(n+1)/(4) (2^(n+1) -n-2)

where

n ge 1

, and the runs scored in the <br>

k^(th)

match is given by

k.2^(n+1 - k)

, where

1 le k le n, n

is

If all the energy lost from joule heating stays in a wire , and the temperature increases as a result the resistivity also increase. The current will therefore change as a function of time of time, the joule heating will change and so forth. If the wire material has constant heat capacity , the rate of energy loss in wire will be proportional to rate of change of temperature . Assuming that potential stays constant set up a differential equation that describes the rate of change of temperature .If this equation is solved, how can the current he found as a function of time ? <br> (Given m is the mass of the wire , V is the potential difference across the wire, C is the specfic heat capacity of wire ,

alpha

is the thermal coefficient of resistance,

R_(0)

is the resistance of wire at initial temperature

T_(0))

.

sum_(n=0)^(50) (i(2n+1)t + omega(2n+1)t)

is equal to where

i=sqrt(-1), omega = cos^((2pi)/3) + I sin^((2pi)/3)

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