Chemistry-

General

Easy

Question

i)
ii)
iii)
iv) $Me minus identical to negative straight H rightwards arrow with text dil.H end text subscript 2 SO subscript 4 plus Hg to the power of 2 plus end exponent on top$
Which of the statements are correct?

In all, acetone is the major product
In all, propanal is the major product
C and dare acetone, whereas A and B are propanal as the major product
C and dare propanal, whereas A and B are acetone as the major product

The correct answer is:
C and dare acetone, whereas A and B are propanal as the major product

A body is travelling in a straight line with a uniformly increasing speed. Which one of the plot represents the changes in distance (s) travelled with time ( $t$ )

s equals u t plus fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent

s equals fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent

[

because u equals 0

]
It is an equation of parabola

A body is travelling in a straight line with a uniformly increasing speed. Which one of the plot represents the changes in distance (s) travelled with time ( $t$ )

physics-General

s equals u t plus fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent

s equals fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent

[

because u equals 0

]
It is an equation of parabola

General

Maths-

The value of integer n for which the function $f left parenthesis x right parenthesis equals fraction numerator sin begin display style space end style n x over denominator sin begin display style space end style left parenthesis x divided by n right parenthesis end fraction$ has $4 pi$ as its period is

f left parenthesis x right parenthesis equals fraction numerator sin begin display style space end style n x over denominator sin begin display style space end style left parenthesis x divided by n right parenthesis end fraction

Given, period =

4 straight pi

s o comma space fraction numerator sin space n straight pi over denominator sin begin display style x over n end style end fraction equals fraction numerator sin open square brackets n open parentheses x plus 4 straight pi close parentheses close square brackets over denominator sin open parentheses begin display style fraction numerator x plus 4 straight pi over denominator n end fraction end style close parentheses end fraction rightwards double arrow fraction numerator sin space n straight pi over denominator sin begin display style x over n end style end fraction equals fraction numerator sin open parentheses n x plus 4 n straight pi close parentheses over denominator sin open parentheses begin display style x over n end style plus begin display style fraction numerator 4 straight pi over denominator n end fraction end style close parentheses end fraction f r o m space o p t i o n s space i t space i s space o n l y space t r u e space f o r space space n equals 2

The value of integer n for which the function $f left parenthesis x right parenthesis equals fraction numerator sin begin display style space end style n x over denominator sin begin display style space end style left parenthesis x divided by n right parenthesis end fraction$ has $4 pi$ as its period is

Maths-General

f left parenthesis x right parenthesis equals fraction numerator sin begin display style space end style n x over denominator sin begin display style space end style left parenthesis x divided by n right parenthesis end fraction

Given, period =

4 straight pi

s o comma space fraction numerator sin space n straight pi over denominator sin begin display style x over n end style end fraction equals fraction numerator sin open square brackets n open parentheses x plus 4 straight pi close parentheses close square brackets over denominator sin open parentheses begin display style fraction numerator x plus 4 straight pi over denominator n end fraction end style close parentheses end fraction rightwards double arrow fraction numerator sin space n straight pi over denominator sin begin display style x over n end style end fraction equals fraction numerator sin open parentheses n x plus 4 n straight pi close parentheses over denominator sin open parentheses begin display style x over n end style plus begin display style fraction numerator 4 straight pi over denominator n end fraction end style close parentheses end fraction f r o m space o p t i o n s space i t space i s space o n l y space t r u e space f o r space space n equals 2

General

Maths-

$cos squared space open parentheses 60 to the power of ring operator plus x close parentheses minus cos squared space open parentheses 60 to the power of ring operator minus x close parentheses element of open square brackets negative m over 2 comma m over 2 close square brackets not stretchy rightwards double arrow straight m equals$

space space space space cos squared open parentheses 60 plus x close parentheses minus cos squared open parentheses 60 minus x close parentheses equals open square brackets cos open parentheses 60 plus x close parentheses plus cos space open parentheses 60 minus x close parentheses close square brackets open square brackets cos space open parentheses 60 plus x close parentheses minus cos open parentheses 60 minus x close parentheses close square brackets equals open parentheses 2. cos space 60. cos space x close parentheses open parentheses negative 2. sin 60. sin space x close parentheses equals open parentheses 2.1 half. cos space x close parentheses open parentheses negative 2. fraction numerator square root of 3 over denominator 2 end fraction. sin space x close parentheses equals negative square root of 3. cos space x. sin space x equals negative fraction numerator square root of 3 over denominator 2 end fraction. sin space 2 x space F o r space m a x i m u m space v a l u e space o f space f left parenthesis x right parenthesis comma space sin space 2 x equals 1 f left parenthesis x right parenthesis equals fraction numerator negative square root of 3 over denominator 2 end fraction cross times 1 equals fraction numerator negative square root of 3 over denominator 2 end fraction F o r space m i n i m u m space v a l u e space o f space f space left parenthesis x right parenthesis comma space sin space 2 x space equals negative 1 f left parenthesis x right parenthesis equals fraction numerator negative square root of 3 over denominator 2 end fraction cross times negative 1 equals fraction numerator square root of 3 over denominator 2 end fraction A s space space cos squared open parentheses 60 plus x close parentheses minus cos squared open parentheses 60 minus x close parentheses element of open square brackets fraction numerator negative square root of 3 over denominator 2 end fraction comma fraction numerator square root of 3 over denominator 2 end fraction close square brackets S o comma space m equals square root of 3

$cos squared space open parentheses 60 to the power of ring operator plus x close parentheses minus cos squared space open parentheses 60 to the power of ring operator minus x close parentheses element of open square brackets negative m over 2 comma m over 2 close square brackets not stretchy rightwards double arrow straight m equals$

Maths-General

space space space space cos squared open parentheses 60 plus x close parentheses minus cos squared open parentheses 60 minus x close parentheses equals open square brackets cos open parentheses 60 plus x close parentheses plus cos space open parentheses 60 minus x close parentheses close square brackets open square brackets cos space open parentheses 60 plus x close parentheses minus cos open parentheses 60 minus x close parentheses close square brackets equals open parentheses 2. cos space 60. cos space x close parentheses open parentheses negative 2. sin 60. sin space x close parentheses equals open parentheses 2.1 half. cos space x close parentheses open parentheses negative 2. fraction numerator square root of 3 over denominator 2 end fraction. sin space x close parentheses equals negative square root of 3. cos space x. sin space x equals negative fraction numerator square root of 3 over denominator 2 end fraction. sin space 2 x space F o r space m a x i m u m space v a l u e space o f space f left parenthesis x right parenthesis comma space sin space 2 x equals 1 f left parenthesis x right parenthesis equals fraction numerator negative square root of 3 over denominator 2 end fraction cross times 1 equals fraction numerator negative square root of 3 over denominator 2 end fraction F o r space m i n i m u m space v a l u e space o f space f space left parenthesis x right parenthesis comma space sin space 2 x space equals negative 1 f left parenthesis x right parenthesis equals fraction numerator negative square root of 3 over denominator 2 end fraction cross times negative 1 equals fraction numerator square root of 3 over denominator 2 end fraction A s space space cos squared open parentheses 60 plus x close parentheses minus cos squared open parentheses 60 minus x close parentheses element of open square brackets fraction numerator negative square root of 3 over denominator 2 end fraction comma fraction numerator square root of 3 over denominator 2 end fraction close square brackets S o comma space m equals square root of 3

General

Maths-

$cos squared space open parentheses 60 to the power of ring operator minus x close parentheses plus cos squared space open parentheses 60 to the power of ring operator plus x close parentheses element of$

space space space space cos squared space open parentheses 60 to the power of ring operator minus x close parentheses plus cos squared space open parentheses 60 to the power of ring operator plus x close parentheses equals open parentheses cos space open parentheses 60 plus x close parentheses plus cos open parentheses 60 minus x close parentheses close parentheses squared minus 2 cos space open parentheses 60 minus x close parentheses. cos space open parentheses 60 plus x close parentheses equals open parentheses 2. cos space 60. cos space x close parentheses squared minus open parentheses cos space 2 x space plus cos space 120 space close parentheses equals 4 cross times 1 fourth cross times cos squared x minus cos space 2 x space minus open parentheses fraction numerator negative 1 over denominator 2 end fraction close parentheses equals cos squared x minus cos space 2 x plus 1 half equals cos squared x minus 2 cos squared x plus 1 plus 1 half equals 3 over 2 minus cos squared x

For maximum value of f (x),

cos squared x equals 0

f (x)=

3 over 2 minus 0 equals 3 over 2

For minimum value of f (x),

cos squared x equals 1

f (x)=

3 over 2 minus 1 equals 1 half

So,

cos squared space open parentheses 60 to the power of ring operator minus x close parentheses plus cos squared space open parentheses 60 to the power of ring operator plus x close parentheses element of open square brackets 1 half comma 3 over 2 close square brackets

$cos squared space open parentheses 60 to the power of ring operator minus x close parentheses plus cos squared space open parentheses 60 to the power of ring operator plus x close parentheses element of$

Maths-General

space space space space cos squared space open parentheses 60 to the power of ring operator minus x close parentheses plus cos squared space open parentheses 60 to the power of ring operator plus x close parentheses equals open parentheses cos space open parentheses 60 plus x close parentheses plus cos open parentheses 60 minus x close parentheses close parentheses squared minus 2 cos space open parentheses 60 minus x close parentheses. cos space open parentheses 60 plus x close parentheses equals open parentheses 2. cos space 60. cos space x close parentheses squared minus open parentheses cos space 2 x space plus cos space 120 space close parentheses equals 4 cross times 1 fourth cross times cos squared x minus cos space 2 x space minus open parentheses fraction numerator negative 1 over denominator 2 end fraction close parentheses equals cos squared x minus cos space 2 x plus 1 half equals cos squared x minus 2 cos squared x plus 1 plus 1 half equals 3 over 2 minus cos squared x

For maximum value of f (x),

cos squared x equals 0

f (x)=

3 over 2 minus 0 equals 3 over 2

For minimum value of f (x),

cos squared x equals 1

f (x)=

3 over 2 minus 1 equals 1 half

So,

cos squared space open parentheses 60 to the power of ring operator minus x close parentheses plus cos squared space open parentheses 60 to the power of ring operator plus x close parentheses element of open square brackets 1 half comma 3 over 2 close square brackets

General

physics-

The effective capacitance between points $X$ and $Y$ shown in figure. Assuming $C subscript 2 end subscript equals 10 blank mu$ F and that outer capacitors are all $4 blank mu$ F is

The arrangement shows a Wheatstone bridge.
As

fraction numerator C subscript 1 end subscript over denominator C subscript 3 end subscript end fraction equals fraction numerator C subscript 4 end subscript over denominator C subscript 5 end subscript end fraction equals 1 comma blank

therefore the bridge is balanced.

fraction numerator 1 over denominator C subscript s subscript 1 end subscript end subscript end fraction equals fraction numerator 1 over denominator 4 end fraction plus fraction numerator 1 over denominator 4 end fraction equals fraction numerator 2 over denominator 4 end fraction equals fraction numerator 1 over denominator 2 end fraction comma C subscript s subscript 1 end subscript end subscript equals 2 mu blank F

Similarly,

C subscript s end subscript subscript 2 end subscript equals 2 mu blank F

therefore

effective capacitance

equals C subscript p end subscript equals C subscript s end subscript subscript 1 end subscript plus C subscript s end subscript subscript 2 end subscript equals 2 plus 2 plus equals 4 mu blank F

The effective capacitance between points $X$ and $Y$ shown in figure. Assuming $C subscript 2 end subscript equals 10 blank mu$ F and that outer capacitors are all $4 blank mu$ F is

physics-General

The arrangement shows a Wheatstone bridge.
As

fraction numerator C subscript 1 end subscript over denominator C subscript 3 end subscript end fraction equals fraction numerator C subscript 4 end subscript over denominator C subscript 5 end subscript end fraction equals 1 comma blank

therefore the bridge is balanced.

fraction numerator 1 over denominator C subscript s subscript 1 end subscript end subscript end fraction equals fraction numerator 1 over denominator 4 end fraction plus fraction numerator 1 over denominator 4 end fraction equals fraction numerator 2 over denominator 4 end fraction equals fraction numerator 1 over denominator 2 end fraction comma C subscript s subscript 1 end subscript end subscript equals 2 mu blank F

Similarly,

C subscript s end subscript subscript 2 end subscript equals 2 mu blank F

therefore

effective capacitance

equals C subscript p end subscript equals C subscript s end subscript subscript 1 end subscript plus C subscript s end subscript subscript 2 end subscript equals 2 plus 2 plus equals 4 mu blank F

General

physics-

The four capacitors, each of 25 $mu$ F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is

Charge on each plate of each capacitor

Q equals plus-or-minus C V equals plus-or-minus 25 cross times 10 to the power of negative 6 end exponent cross times 200

equals plus-or-minus 5 cross times 10 to the power of negative 3 end exponent C

The four capacitors, each of 25 $mu$ F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is

physics-General

Charge on each plate of each capacitor

Q equals plus-or-minus C V equals plus-or-minus 25 cross times 10 to the power of negative 6 end exponent cross times 200

equals plus-or-minus 5 cross times 10 to the power of negative 3 end exponent C

General

physics-

For the circuit shown in figure the charge on 4 $mu$ F capacitor is

Combined capacity of

1 blank mu F

and

5 mu F blank

= 1 + 5=

6 blank mu F

Now,

4 mu F blank

and

6 mu F

are in series.

therefore blank fraction numerator 1 over denominator C subscript s end subscript end fraction equals fraction numerator 1 over denominator 4 end fraction plus fraction numerator 1 over denominator 6 end fraction plus fraction numerator 3 plus 2 over denominator 12 end fraction equals fraction numerator 5 over denominator 12 end fraction

C subscript s end subscript equals fraction numerator 12 over denominator 5 end fraction mu F

Charge in the arm containing

4 mu F blank

capacitor is

q equals C subscript s end subscript cross times V equals fraction numerator 12 over denominator 5 end fraction cross times 10 equals 24 blank mu C

For the circuit shown in figure the charge on 4 $mu$ F capacitor is

physics-General

Combined capacity of

1 blank mu F

and

5 mu F blank

= 1 + 5=

6 blank mu F

Now,

4 mu F blank

and

6 mu F

are in series.

therefore blank fraction numerator 1 over denominator C subscript s end subscript end fraction equals fraction numerator 1 over denominator 4 end fraction plus fraction numerator 1 over denominator 6 end fraction plus fraction numerator 3 plus 2 over denominator 12 end fraction equals fraction numerator 5 over denominator 12 end fraction

C subscript s end subscript equals fraction numerator 12 over denominator 5 end fraction mu F

Charge in the arm containing

4 mu F blank

capacitor is

q equals C subscript s end subscript cross times V equals fraction numerator 12 over denominator 5 end fraction cross times 10 equals 24 blank mu C

General

Maths-

The minimum and maximum values of $sin to the power of 4 x plus cos to the power of 4 space x$ are

space space space space space sin to the power of 4 x plus cos to the power of 4 space x equals open parentheses sin squared x close parentheses squared plus open parentheses cos squared x close parentheses squared equals open parentheses sin squared x plus cos squared x close parentheses squared minus 2 sin squared x. cos squared x equals 1 minus fraction numerator sin squared space 2 x over denominator 2 end fraction F o r space m a x i m u m space v a l u e space o f space f left parenthesis x right parenthesis comma sin space 2 x equals 0 S o comma space f left parenthesis x right parenthesis equals 1 minus 0 over 2 equals 1 F o e space m i n i m u m space v a l u e space o f space f left parenthesis x right parenthesis comma space sin space 2 x space equals 1 S o comma space f left parenthesis x right parenthesis equals 1 minus 1 squared over 2 equals 1 half

The minimum and maximum values of $sin to the power of 4 x plus cos to the power of 4 space x$ are

Maths-General

space space space space space sin to the power of 4 x plus cos to the power of 4 space x equals open parentheses sin squared x close parentheses squared plus open parentheses cos squared x close parentheses squared equals open parentheses sin squared x plus cos squared x close parentheses squared minus 2 sin squared x. cos squared x equals 1 minus fraction numerator sin squared space 2 x over denominator 2 end fraction F o r space m a x i m u m space v a l u e space o f space f left parenthesis x right parenthesis comma sin space 2 x equals 0 S o comma space f left parenthesis x right parenthesis equals 1 minus 0 over 2 equals 1 F o e space m i n i m u m space v a l u e space o f space f left parenthesis x right parenthesis comma space sin space 2 x space equals 1 S o comma space f left parenthesis x right parenthesis equals 1 minus 1 squared over 2 equals 1 half

General

physics-

Figure shows a network of eight resistors, each equal to 2 $blank capital omega$ , connected to a 3V battery of negligible internal resistance. The current $I$ in the circuit is

physics-General

General

physics-

The equivalent resistance between $A blank a n d blank B$ in the given circuit is

physics-General

General

chemistry-

Which of the following is/are the rate determining step(s) of the given reaction?

chemistry-General

General

Maths-

Maximum value of $fraction numerator 1 over denominator square root of 7 sin space x plus square root of 29 cos space x plus 7 end fraction$

Maths-General

General

Maths-

The minimum and maximum values of $2 square root of 2 cos space x plus sin space x$ are

f(x) =

2 square root of 2 cos space x plus sin space x

As minimum and maximum value of a sin x + b cos x is

negative square root of a squared plus b squared end root a n d space space square root of a squared plus b squared end root

So, minimum value

equals negative square root of 1 squared plus open parentheses 2 square root of 2 close parentheses squared end root equals negative square root of 9 equals negative 3

Maximum value =

equals square root of 1 squared plus open parentheses 2 square root of 2 close parentheses squared end root equals square root of 9 equals 3

The minimum and maximum values of $2 square root of 2 cos space x plus sin space x$ are

Maths-General

f(x) =

2 square root of 2 cos space x plus sin space x

As minimum and maximum value of a sin x + b cos x is

negative square root of a squared plus b squared end root a n d space space square root of a squared plus b squared end root

So, minimum value

equals negative square root of 1 squared plus open parentheses 2 square root of 2 close parentheses squared end root equals negative square root of 9 equals negative 3

Maximum value =

equals square root of 1 squared plus open parentheses 2 square root of 2 close parentheses squared end root equals square root of 9 equals 3

General

chemistry-

(A) and(C) are different compound s and rotate the plane-polarised light in the same direction, andboth are dextrorotatory. Both (A) and(C) do not show diastereomers, whichof the following statements are correct?

chemistry-General

General

chemistry-

Which of the following dienes and dienophiles could be used to synthesise the following compound (A) ?

chemistry-General

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i) ii) iii) iv) Which of the statements are correct?

In all, acetone is the major productIn all, propanal is the major productC and dare acetone, whereas A and B are propanal as the major productC and dare propanal, whereas A and B are acetone as the major product

The correct answer is: C and dare acetone, whereas A and B are propanal as the major product

Related Questions to study

A body is travelling in a straight line with a uniformly increasing speed. Which one of the plot represents the changes in distance (s) travelled with time ()

A body is travelling in a straight line with a uniformly increasing speed. Which one of the plot represents the changes in distance (s) travelled with time ()

The value of integer n for which the function has as its period is

The value of integer n for which the function has as its period is

The effective capacitance between points and shown in figure. Assuming F and that outer capacitors are all F is

The effective capacitance between points and shown in figure. Assuming F and that outer capacitors are all F is

The four capacitors, each of 25 F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is

The four capacitors, each of 25 F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is

For the circuit shown in figure the charge on 4F capacitor is

For the circuit shown in figure the charge on 4F capacitor is

The minimum and maximum values of are

The minimum and maximum values of are

Figure shows a network of eight resistors, each equal to 2, connected to a 3V battery of negligible internal resistance. The current in the circuit is

Figure shows a network of eight resistors, each equal to 2, connected to a 3V battery of negligible internal resistance. The current in the circuit is

The equivalent resistance between in the given circuit is

The equivalent resistance between in the given circuit is

Which of the following is/are the rate determining step(s) of the given reaction?

Which of the following is/are the rate determining step(s) of the given reaction?

Maximum value of

Maximum value of

The minimum and maximum values of are

The minimum and maximum values of are

(A) and(C) are different compound s and rotate the plane-polarised light in the same direction, andboth are dextrorotatory. Both (A) and(C) do not show diastereomers, whichof the following statements are correct?

(A) and(C) are different compound s and rotate the plane-polarised light in the same direction, andboth are dextrorotatory. Both (A) and(C) do not show diastereomers, whichof the following statements are correct?

Which of the following dienes and dienophiles could be used to synthesise the following compound (A) ?

Which of the following dienes and dienophiles could be used to synthesise the following compound (A) ?

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i)
ii)
iii)
iv) $Me minus identical to negative straight H rightwards arrow with text dil.H end text subscript 2 SO subscript 4 plus Hg to the power of 2 plus end exponent on top$
Which of the statements are correct?

In all, acetone is the major product
In all, propanal is the major product
C and dare acetone, whereas A and B are propanal as the major product
C and dare propanal, whereas A and B are acetone as the major product

The correct answer is:
C and dare acetone, whereas A and B are propanal as the major product

A body is travelling in a straight line with a uniformly increasing speed. Which one of the plot represents the changes in distance (s) travelled with time ( $t$ )

A body is travelling in a straight line with a uniformly increasing speed. Which one of the plot represents the changes in distance (s) travelled with time ( $t$ )

The effective capacitance between points $X$ and $Y$ shown in figure. Assuming $C subscript 2 end subscript equals 10 blank mu$ F and that outer capacitors are all $4 blank mu$ F is

The effective capacitance between points $X$ and $Y$ shown in figure. Assuming $C subscript 2 end subscript equals 10 blank mu$ F and that outer capacitors are all $4 blank mu$ F is

The four capacitors, each of 25 $mu$ F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is

The four capacitors, each of 25 $mu$ F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is

For the circuit shown in figure the charge on 4 $mu$ F capacitor is

For the circuit shown in figure the charge on 4 $mu$ F capacitor is

The minimum and maximum values of $sin to the power of 4 x plus cos to the power of 4 space x$ are

The minimum and maximum values of $sin to the power of 4 x plus cos to the power of 4 space x$ are

Figure shows a network of eight resistors, each equal to 2 $blank capital omega$ , connected to a 3V battery of negligible internal resistance. The current $I$ in the circuit is

Figure shows a network of eight resistors, each equal to 2 $blank capital omega$ , connected to a 3V battery of negligible internal resistance. The current $I$ in the circuit is

The equivalent resistance between $A blank a n d blank B$ in the given circuit is

The equivalent resistance between $A blank a n d blank B$ in the given circuit is

Maximum value of $fraction numerator 1 over denominator square root of 7 sin space x plus square root of 29 cos space x plus 7 end fraction$

Maximum value of $fraction numerator 1 over denominator square root of 7 sin space x plus square root of 29 cos space x plus 7 end fraction$

The minimum and maximum values of $2 square root of 2 cos space x plus sin space x$ are

The minimum and maximum values of $2 square root of 2 cos space x plus sin space x$ are