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Class 12th English

Directions for questions: Answer the questions on the basis of the information give below.

The following table gives year wise and course wise admission to a college.

Sports	2016	2017	2018	2019	2021	2022
Course 1	160	200	250	150	140	160
Course 2	40	80	95	100	110	130
Course 3	80	120	120	110	150	130
Course 4	70	90	50	30	60	80
Course 5	100	140	180	200	250	300
Course 6	10	10	20	10	10	10
Total	460	640	715	600	720	810

In which year for the first time, the course constituted more than 25% of the admission?

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Payal Gupta

Contributor-Level 10

In the two years, 2018 & 2019, the required percentage is more than 25 % but it happened in 2011 for the first time.

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11 months ago

Class 12th Physics

The two thin coaxial rings, each of radius 'a' and having charges +Q and -Q respectively are separated by a distance of 's'. The potential difference between the centres of the two rings is:

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alok kumar singh

Contributor-Level 10

$V_{A} = \frac{1}{4 π ε_{0}} [\frac{1}{a} - \frac{1}{\sqrt[]{a^{2} + s^{2}}}]$

$V_{B} = \frac{- 1}{4 π ε_{0}} [\frac{1}{a} - \frac{1}{\sqrt[]{a^{2} + s^{2}}}]$

$V_{A} - V_{B} = \frac{1}{2 π ε_{0}} [\frac{1}{a} - \frac{1}{\sqrt[]{a^{2} + s^{2}}}]$

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11 months ago

Class 12th Nuclei

At time t = 0, a material is composed of two radioactive atoms A and, B, where N_A(0) = 2N_B(0). The decay constant of both kind of radioactive atoms is $λ .$ However, A disintegrates to B and B disintegrates to C. Which of the following figures represents the evolution of N_B(t)/N_B(0) with respect to time t?

$[\begin{matrix} N_{A} (0) = N o . o f A a t o m s a t t = 0 & N_{B} (0) = N o . o f B a t o m s a t t = 0 \end{matrix}]$

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alok kumar singh

Contributor-Level 10

$\frac{d N_{B}}{d t} = λ N_{A} - λ N_{B} = 2 λ N_{B} (0) . e^{- λ t} - λ N_{B}$

$\Rightarrow \frac{d N_{B}}{d t} + λ N_{B} = 2 λ N_{B} (0) e^{- λ t}$

Solving it, $N_{B} (t) = N_{B} (0) (1 + 2 λ t) e^{- λ t}$

N_B (t) is maximum when,

$\frac{d N_{B}}{d t} = 0 \Rightarrow t = \frac{1}{2 λ}$

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11 months ago

Class 12th English

The table below presents the revenue (in million rupees) of four firms in three states. These firms, F1, F2., F3. And F4. are disguised in the table as A, B, C and D, in no particular order.

States	Firm A	Firm B	Firm C	Firm D
S1	49	82	80	55
S2	69	72	70	65
S3	72	63	72	65

Further, it is known that:

In the state of S3, F3. has the highest market share.

F2.'s aggregate revenue differs from F2.'s by Rs. 5 Crore.

If F4.'s lowest revenue is from S1, then which of the following is true?

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Payal Gupta

Contributor-Level 10

Profitable can be either A or D. Then aggressive and honest has to be B and C. Hence, truthful is A or D. And for both A and D the lowest revenue is from S1

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11 months ago

Class 12th Magnetism and Matter

State Gauss Law of Magnetism.

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Jaya Sharma

Contributor-Level 10

Gauss law for magnetism states that total magnetic flux through a closed surface S will be zero. It is one of the four maxwell's equations that is useful in understanding the prinicples of electromagnetism. When understood in depth, the law implies that magnetic field lines form closed loops since they are continous. In short, it confirms that magnetic monopoles cannot exist.

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New answer posted

11 months ago

Class 12th English

The table below presents the revenue (in million rupees) of four firms in three states. These firms, F1, F2., F3. And F4. are disguised in the table as A, B, C and D, in no particular order.

States	Firm A	Firm B	Firm C	Firm D
S1	49	82	80	55
S2	69	72	70	65
S3	72	63	72	65

Further, it is known that:

In the state of S3, F3. has the highest market share.

F2.'s aggregate revenue differs from F2.'s by Rs. 5 Crore.

What can be said regarding the following two statements?

Statement I: F1. has the highest share in the S1 market.

Statement II: F2. has the highest share in the S2 market.

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Payal Gupta

Contributor-Level 10

B is honest according to Statement (I) Atmost only one statement can be true as both give Aggressive and Honest as firm B.Firm B cannot have two names.

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New answer posted

11 months ago

Class 12th Physics

In the given circuit the AC source has $ω = 100 r a d s^{- 1} .$ Considering the inductor and capacitor to be the current I flowing through the circuit?

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alok kumar singh

Contributor-Level 10

Let, current through inductor,

$i_{L} = l_{L} s i n (ω t + ?_{1})$

$l_{L} = \frac{200 \sqrt[]{2}}{\sqrt[]{5 0^{2} + {(100 * 0.50)}^{2}}} = 4 A$

$?_{1} = t a n^{- 1} (\frac{- 100 * 0.50}{50}) = - \frac{π}{4}$

Let, current through capacitor,

As $?_{2} - ?_{1} = \frac{π}{2}$

$l = \sqrt[]{{(I_{L})}^{2} + {(I_{C})}^{2}}$

$= \sqrt[]{4^{2} + 2^{2}} = 4.47 A$

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New answer posted

11 months ago

Class 12th English

The table below presents the revenue (in million rupees) of four firms in three states. These firms, F1, F2., F3. And F4. are disguised in the table as A, B, C and D, in no particular order.

States	Firm A	Firm B	Firm C	Firm D
S1	49	82	80	55
S2	69	72	70	65
S3	72	63	72	65

Further, it is known that:

In the state of S3, F3. has the highest market share.

F2.'s aggregate revenue differs from F2.'s by Rs. 5 Crore.

What can be said regarding the following two statements?

Statement I: F2.'s lowest revenues are from S3.

Statement II: F1.'s lowest revenues are from S2.

0 Follower 2 Views

Payal Gupta

Contributor-Level 10

According to statement (I) aggressive is (B). Then F1. has to be C (as given in neutral statement).

Then statement (II) is also true, F1's the lowest revenue is from Bihar.

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New answer posted

11 months ago

Class 12th Physics

The material filled between the plates of a parallel plate capacitor has resistivity 200 The value of capacitance of the capacitor is 2 pF. If a potential difference of 40V is applied across the plates of the capacitor, then the value of leakage current flowing out of the capacitor is: (given the value of relative permittivity of material is 50)

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Vishal Baghel

Contributor-Level 10

for discharging RC – circuit

$q = q_{0} e^{\frac{- t}{τ}}$

$l = \frac{d q}{d t} = \frac{q_{0}}{τ} e^{- t / τ}$

$τ = C R = (\frac{k ε_{0} A}{d}) (ρ \frac{d}{A}) [? l = d]$

$l_{m a x} = \frac{q_{0}}{ρ k ε_{0}} = \frac{2 * 1 0^{- 12} * 40}{200 * 50 * 8.85 * 1 0^{- 12}}$

= 0.9 mA

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New answer posted

11 months ago

Class 12th English

Directions for questions: Answer the following questions based on the information given below.

The table below presents the revenue (in million rupees) of four firms in three states. These firms, F1, F2., F3. And F4. are disguised in the table as A, B, C and D, in no particular order.

States	Firm A	Firm B	Firm C	Firm D
S1	49	82	80	55
S2	69	72	70	65
S3	72	63	72	65

Further, it is known that:

In the state of S3, F3. has the highest market share.

F2.'s aggregate revenue differs from F2.'s by Rs. 5 Crore.

What can be said regarding the following two statements?

Statement I: F4. has the lowest share in S3 market.

Statement II: F1's total revenue is more than Profitable Ltd.

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Payal Gupta

Contributor-Level 10

As F3. has the highest market share hence Truthful Ltd. can be A or C. From neutral statement either B and C are aggressive and honest or A and D are aggressive and honest. According to statement (I), B is profitable, then A and D are aggressive and honest. Then honest total revenue cannot be more than that of profitable, hence statement (II) is false.

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