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The correct statement(s) pertaining to the adsorption of a gas

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The correct statement(s) pertaining to the adsorption of a gas on a solid surface is (are)

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Practice questions from similar books

Question 1

Let

M a n d N

be two

3 \times 3

matrices such that

M N = N M ˙

Further, if

M \neq = N^{2} a n d M^{2} = N^{4},

then Determinant of

(M^{2} + M N^{2})

is 0 There is a

3 \times 3

non-zeero matrix

U

such tht

(M^{2} + M N^{2}) U

is the zero matrix Determinant of

(M^{2} + M N^{2}) \geq 1

For a

3 \times 3

matrix

U, if (M^{2} + M N^{2}) U

equal the zero mattix then

U

is the zero matrix

View solution

Question 2

For every twice differentiable function

f : R \to [- 2, 2]

with

(f (0))^{2} + (f^{p r i m e} (0))^{2} = 85

, which of the following statement(s) is (are) TRUE?There exist

r, s \in R

where

r < s

, such that

f

is one-one on the open interval

(r, s)

(b) There exists

x_{0} \in (- 4, 0)

such that

∣ ∣ f^{p r i m e} (x_{0}) ∣ ∣ \leq 1

(c)

(lim)_{x \to \infty} f (x) = 1

(d) There exists

α \in (- 4, 4)

such that

f (α) + f (α) = 0

and

f^{p r i m e} (α) \neq = 0

View solution

Question 3

Let

T

be the line passing through the points

P (- 2, 7)

and

Q (2, - 5)

. Let

F_{1}

be the set of all pairs of circles

(S_{1}, S_{2})

such that

T

is tangent to

S_{1}

P

and tangent to

S_{2}

Q

, and also such that

S_{1}

and

S_{2}

touch each other at a point, say,

M

. Let

E_{1}

be the set representing the locus of

M

as the pair

(S_{1}, S_{2})

varies in

F_{1}

. Let the set of all straight lines segments joining a pair of distinct points of

E_{1}

and passing through the point

R (1, 1)

F_{2}

. Let

E_{2}

be the set of the mid-points of the line segments in the set

F_{2}

. Then, which of the following statement(s) is (are) TRUE?The point

(- 2, 7)

lies in

E_{1}

(b) The point

(\frac{4}{5}, \frac{7}{5})

does NOT lie in

E_{2}

(\frac{1}{2}, 1)

lies in

E_{2}

(d) The point

(0, \frac{3}{2})

does NOT lie in

E_{1}

View solution

Question 4

Let

f_{1} : R \to R, f_{2} : (- \frac{π}{2}, \frac{π}{2}) \to R f_{3} : (- 1, e^{\frac{π}{2}} - 2) \to R

and

f_{4} : R \to R

be functions defined by\displaystyle{{f}_{{1}}{\left({x}\right)}}={\sin{{\left(\sqrt{{{1}-{e}^{{-{{x}}}}^{2}}}\right)}}},(ii)

f_{2} (x) = {\frac{∣ sin x ∣}{tan ^{- 1} x} if x \neq = 01 if x = 0,

where the inverse trigonometric function

tan^{- 1} x

assumes values in

(\frac{π}{2}, \frac{π}{2})

,(iii)

f_{3} (x) = [sin ((lo g)_{e} (x + 2))]

, where, for

t \in R

[t]

denotes the greatest integer less than or equal to

t

,(iv)

f_{4} (x) = {x^{2} sin (\frac{1}{x}) if x \neq = 00 if x = 0

.LIST-I LIST-IIP. The function

f_{1}

is 1. NOT continuous at

x = 0

Q. The function

f_{2}

is 2. continuous at

x = 0

and NOTR. The function

f_{2}

is differentiable at

x = 0

S. The function

f_{2}

is 3. differentiable at

x = 0

and itsis NOT continuous at

x = 0

4. differentiable at

x = 0

and itsderivative is continuous at

x = 0

The correct option is

P \to 2; Q \to 3; R \to 1; S \to 4

(b)

P \to 4; Q \to 1; R \to 2; S \to 3

(c)

P \to 4; Q \to 2; R \to 1; S \to 3

(d)

P \to 2; Q \to 1; R \to 4; S \to 3

View solution

Question Text

The correct statement(s) pertaining to the adsorption of a gas on a solid surface is (are)

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