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Let R = {(0,1),(0,2),(1,1,),(1,3),(2,2),(3,0)} be a relation defined on

A = {0,1,2,3}.Find the zero-one matrix of transitive closure of R.


  1. Identify the enzymes secreted by the pancreas. Describe the concept of zymogens.
  2. Discuss the sequential digestion of proteins, by gastric pepsin, pancreatic enzymes and duodenal enteropeptidase at the apical membrane of the small intestine.
  3. Explain membrane transport mechanisms for amino acids and dipeptides by intestinal epithelial cells.
  4. Describe the sequence of events in the colon and anal sphincter occurring during reflective defecation differentiating those movements under voluntary control and those under autonomic control

Write the electron configuration for magnesium (A=12) and potassium (A=19). Draw their orbital diagrams.

The phase difference between two points on a progressive wave is 3𝜋/4


. What will be the


corresponding path difference?

Give the set of quantum numbers for each of the 10 electrons that occupy the 3d orbitals.

A circular antenna of area 3m² is installed at a particular place. The plane of the area of antenna is inclined at 47⁰ with the direction of Earth's magnetic field. If the magnitude of Earth's field at that place is 40773.9 nT, find the magnetic flux linked with the antenna.

At the instant an electron enters a uniform magnetic field of 0.500 T directed along the positive x-axis, its velocity has the following components; vx 2.00 x 10⁶m/s, vy = 0, and Vz = 3.00 x 10⁶ m/s. Find the radius and pitch of the helical path followed by the electron

A particle of charge 4.25 x 10-⁹C moves at 3.0 x 10 ⁴ m/s at 60° up the x-y plane through a uniform magnetic field of


5.0 x 10-³T directed along the +z - axis. Find the magnetic force on a particle.

the trade between different countries in the world is called _



16. In a circuit 20 C of charge is passed through a battery in a given time. The plates of the battery are maintained at PD of 20 V . How much work is done by the battery?

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