Pick out the incorrect statement(s) from the following.
1. Glucose exists in two different crystalline forms, \( \alpha \)-D-glucose and \( \beta \)-D-glucose.
2. \( \alpha \)-D-glucose and \( \beta \)-D-glucose are anomers.
3. \( \alpha \)-D-glucose and \( \beta \)-D-glucose are enantiomers.
4. Cellulose is a straight chain polysaccharide made of only \( \beta \)-D-glucose units.
5. Starch is a mixture of amylase and amylopectin, both contain unbranched chain of \(\alpha\)-D-glucose units.
1 and 2 only
2 and 3 only
3 and 4 only
3 and 5 only
Let's analyze each statement to identify the incorrect ones:
1. Glucose exists in two different crystalline forms, \( \alpha \)-D-glucose and \( \beta \)-D-glucose.
This statement is correct. Glucose has two anomeric forms: \( \alpha \) and \( \beta \).
2. \( \alpha \)-D-glucose and \( \beta \)-D-glucose are anomers.
This statement is correct. Anomers are isomers of monosaccharides that differ in configuration only at the hemiacetal/acetal carbon, also known as the anomeric carbon.
3. \( \alpha \)-D-glucose and \( \beta \)-D-glucose are enantiomers.
This statement is incorrect. Enantiomers are mirror images of each other and cannot be turned into one another by rotation. \( \alpha \) and \( \beta \) forms are not mirror images; they differ only in the configuration at the anomeric carbon.
4. Cellulose is a straight chain polysaccharide made of only \( \beta \)-D-glucose units.
This statement is correct. Cellulose is composed of \( \beta \)-D-glucose units linked by \( \beta \)-1,4-glycosidic bonds.
5. Starch is a mixture of amylase and amylopectin, both contain unbranched chain of \( \alpha \)-D-glucose units.
This statement is incorrect. Starch contains both amylose and amylopectin, but amylopectin is branched, not unbranched. Only amylose is an unbranched chain of \( \alpha \)-D-glucose units.
Option | Reason |
---|---|
3 and 5 only | Both statements 3 and 5 are incorrect based on the above analysis. |
Which of the following statements is not true about glucose?
A solid cylinder of mass 2 kg and radius 0.2 m is rotating about its own axis without friction with angular velocity 5 rad/s. A particle of mass 1 kg moving with a velocity of 5 m/s strikes the cylinder and sticks to it as shown in figure.
The angular velocity of the system after the particle sticks to it will be: