Chemistry-
General
Easy
Question
Which of the following compounds has wrong IUPAC name?
- CH3 – CH2 – CH2 – COO – CH2CH3 → ethyl butanoate
3-methyl 1-butanal
2-methyl 1-3-butanal
2-methyl 1-3-pentanone
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/909384/1/3646872/Picture68.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/909384/1/3646873/Picture67.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/answer/909384/1/3646874/Picture66.png)
The correct answer is:
2-methyl 1-3-butanal
2 - methyl 3 - butanol is wrong
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What is the IUPAC name of ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/473684/1/942381/Picture61.png)
What is the IUPAC name of ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/473684/1/942381/Picture61.png)
chemistry-General
maths-
If
then
=
If
then
=
maths-General
maths-
If
-2 tan
then
If
-2 tan
then
maths-General
maths-
If
and
,then ![fraction numerator p over denominator sin invisible function application ϕ end fraction minus fraction numerator q over denominator cos invisible function application ϕ end fraction equals](data:image/png;base64,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)
If
and
,then ![fraction numerator p over denominator sin invisible function application ϕ end fraction minus fraction numerator q over denominator cos invisible function application ϕ end fraction equals](data:image/png;base64,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)
maths-General
chemistry-
The reaction (CH3)3 C - Br → (CH3)3
is an example of
The reaction (CH3)3 C - Br → (CH3)3
is an example of
chemistry-General
chemistry-
(A) and (B) are
(A) and (B) are
chemistry-General
Maths-
If
,and
,then![left parenthesis a x right parenthesis to the power of 2 divided by 3 end exponent plus left parenthesis b y right parenthesis to the power of 2 divided by 3 end exponent equals](data:image/png;base64,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)
If
,and
,then![left parenthesis a x right parenthesis to the power of 2 divided by 3 end exponent plus left parenthesis b y right parenthesis to the power of 2 divided by 3 end exponent equals](data:image/png;base64,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)
Maths-General
Maths-
If then
If then
Maths-General
Maths-
The value of
is
The value of
is
Maths-General
Maths-
If are four angles then
.![cos invisible function application left parenthesis C plus D right parenthesis plus sin invisible function application left parenthesis D minus A right parenthesis times cos invisible function application left parenthesis D plus A right parenthesis equals](data:image/png;base64,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)
If are four angles then
.![cos invisible function application left parenthesis C plus D right parenthesis plus sin invisible function application left parenthesis D minus A right parenthesis times cos invisible function application left parenthesis D plus A right parenthesis equals](data:image/png;base64,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)
Maths-General
Maths-
If
and
are the roots of the equation
then
is equal to
If
and
are the roots of the equation
then
is equal to
Maths-General
chemistry-
Formula of the following silicate anion is
![](data:image/png;base64,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)
Formula of the following silicate anion is
![](data:image/png;base64,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)
chemistry-General
chemistry-
Sulphide mineral + M
can be
Sulphide mineral + M
can be
chemistry-General
maths-
The adjoining figure gives the road plan of lanes connecting two parallel roads AB and FJ Aman walking on the road AB takes a turn at random to reach the road FJ It is known that he reaches the road FJ from
by taking a straight line The chance that he moves on a straight line from the road AB to the road FJ is.
![](data:image/png;base64,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)
The adjoining figure gives the road plan of lanes connecting two parallel roads AB and FJ Aman walking on the road AB takes a turn at random to reach the road FJ It is known that he reaches the road FJ from
by taking a straight line The chance that he moves on a straight line from the road AB to the road FJ is.
![](data:image/png;base64,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)
maths-General