What is referred to as satellite
Question: What is referred to as satellite chromosome? Solution: A few chromosomes have non-staining secondary constrictions at a constant location. This gives the appearance of a small fragment called the satellite. Such chromosomes are called satellite chromosomes....
Read More →Evaluate:
Question: Evaluate: $\int \frac{1+\cos 4 x}{\cot x-\tan x} d x$ Solution: Let I $=\int \frac{1+\cos 4 x}{\cot x-\tan x} d x$ $=\int \frac{1+\cos 4 x}{\cot x-\tan x} d x$ $=\int \frac{1+\cos ^{2} 2 x}{\frac{\cos x}{\sin x} \frac{\sin x}{\cos x}} d x$ $=\int \frac{2 \cos ^{2} 2 x}{\frac{\cos ^{2} x-\sin ^{2} x}{\sin x \cos x}} d x$ $=\int \frac{2 \cos ^{2} 2 x \cdot \sin x \cdot \cos x}{\cos ^{2} x-\sin ^{2} x} d x$ $=\int \frac{\cos ^{2} 2 x \cdot \sin 2 x}{\cos ^{2} 2 x} d x$ $=\int \cos 2 x \cd...
Read More →What is the feature of a metacentric
Question: What is the feature of a metacentric chromosome? Solution: The metacentric chromosome has middle centromere forming two equal arms of the chromosome....
Read More →What is the function of a polysome?
Question: What is the function of a polysome? Solution: The function of a polysome is to translate an mRNA into proteins....
Read More →What are gas vacuoles?
Question: What are gas vacuoles? State their functions? Solution: Gas vacuoles are aggregates of hollow cylindrical structures called gas vesicles. They are storing metabolic gases and take part in buoyancy....
Read More →Mention a single membrane-bound
Question: Mention a single membrane-bound organelle which is rich in hydrolytic enzymes. Solution: Lysosomes are the single membrane-bound organelle which is rich in hydrolytic enzymes....
Read More →Evaluate:
Question: Evaluate: $\int\left(e^{x}+\frac{1}{e^{x}}\right)^{2} d x$ Solution: Let $I=\int\left(e^{x}+\frac{1}{e^{x}}\right)^{2}$ $=\int\left(e^{2 x}+\frac{1}{e^{2 x}}+2\right)$ $=\frac{\mathrm{e}^{2 \mathrm{x}}}{2}-\frac{1}{2} \mathrm{e}^{-2 \mathrm{x}}+2 \mathrm{x}$ Hence, $I=\frac{1}{2} e^{x}+2 x-\frac{1}{2} e^{-2 x}+C$...
Read More →Evaluate:
Question: Evaluate: $\int\left(e^{x}+1\right)^{2} e^{x} d x$ Solution: Let $I=\int\left(e^{x}+1\right)^{2} e^{x} d x$ Let $\mathrm{e}^{\mathrm{x}}+1=\mathrm{t}=\mathrm{e}^{\mathrm{x}} \mathrm{dx}=\mathrm{dt}$ $I=\int\left(e^{x}+1\right)^{2} e^{x} d x$ $=\int t^{2} d t$ $=\frac{t^{3}}{3}$ Now, substitute the value of $t$ Hence, $I=\frac{\left(e^{x}+1\right)^{3}}{3}+C$...
Read More →What does ‘S’ refer in the 70S
Question: What does S refer in the 70S an 80S ribosome? Solution: The S refers to Svedbergs unit or sedimentation coefficient. It is indirectly a measure of density and size....
Read More →What is the significance of vacuole
Question: What is the significance of vacuole in a plant cell? Solution: A vacuole is a membrane-bound space found in the cytoplasm. It is found in both plant and animal cells but it is much larger in plants (occupies 90% of the space in plant cells). Help is in the storage, waste disposal, cell elongation and cell protection....
Read More →Differentiate the following functions:
Question: Differentiate the following functions: (i) $\frac{3 x^{2}+4 x-5}{x}$ (ii) $\frac{\left(x^{3}+1\right)(x-2)}{x^{2}}$ (iii) $\frac{x-4}{2 \sqrt{x}}$ (iv) $\frac{(1+x) \sqrt{x}}{\sqrt[3]{x}}$ (v) $\frac{a x^{2}+b x+c}{\sqrt{x}}$ (vi) $\frac{a+b \cos x}{\sin x}$ Solution: Formula: $\frac{d}{d x} \frac{u}{v}=\frac{v \frac{d}{d x} u-u \frac{d}{d x} v}{u^{2}}$ (i) $\frac{3 x^{2}+4 x-5}{x}$ Applying, quotient rule $\frac{d}{d x} \frac{3 x^{2}+4 x-5}{x}=\frac{x \frac{d}{d x}\left(3 x^{2}+4 x-5\...
Read More →The stain used to visualise
Question: The stain used to visualise mitochondria is a. Fast green b. Safranin c. Acetocarmine d. Janus green Solution: Option (d)Janus greenis the answer...
Read More →Which of the following is not a function
Question: Which of the following is not a function of cytoskeleton in a cell? a. Intracellular transport b. Maintenance of cell shape and structure c. Support of the organelle d. Cell motility Solution: Option (a)Intracellular transport is the answer...
Read More →Evaluate:
Question: Evaluate: $\int \frac{1}{1+\cos 3 x} d x$ Solution: Let $I=\int \frac{1}{1+\cos 3 x} d x$ $=\int \frac{1}{1+\cos 3 x} d x$ Now Multiply with Conjugate, $=\int \frac{1}{1+\cos 3 x} \times \frac{1-\cos 3 x}{1-\cos 3 x} d x$ $=\int \frac{1-\cos 3 x}{1-\cos ^{2} 3 x} d x$ $=\int \frac{1-\cos 3 x}{\sin ^{2} 3 x} d x$ $=\int \frac{1}{\sin ^{2} 3 \mathrm{x}} \mathrm{dx}-\int \frac{\cos 3 \mathrm{x}}{\sin ^{2} 3 \mathrm{x}} \mathrm{dx}$ $=\int\left(\operatorname{cosec}^{2} 3 x-\operatorname{co...
Read More →Plastid differs from mitochondria based
Question: Plastid differs from mitochondria based on one of the following features. Mark the right answer. a. Presence of two layers of membrane b. Presence of ribosome c. Presence of thylakoids d. Presence of DNA Solution: Option (c)Presence of thylakoidsis the answer...
Read More →Which of the following statements is not true
Question: Which of the following statements is not true for plasma membrane? a. It is present in both plant and animal cell b. Lipid is present as a bilayer in it c. Proteins are presently integrated as well as loosely associated with the lipid bilayer d. Carbohydrate is never found in it Solution: Option (d)Carbohydrate is never found in it is the answer....
Read More →Evaluate:
Question: Evaluate: $\int \frac{1}{1-\sin \frac{x}{2}} d x$ Solution: Let $I=\frac{1}{1-\sin \frac{x}{2}} d x$ $=\frac{1}{1-\sin \frac{x}{2}} \mathrm{dx}$ Now, Multiply with the conjugate we get, $=\int \frac{1}{1-\sin \frac{x}{2}} \times \frac{1+\sin \frac{x}{2}}{1+\sin \frac{x}{2}} d x$ $=\int \frac{1+\sin ^{\frac{x}{2}}}{1-\sin ^{2} \frac{x}{2}} d x$ $=\int \frac{1+\sin ^{\frac{x}{2}}}{\cos ^{2} \frac{x}{2}} d x$ $=\int \frac{1}{\cos ^{2} \frac{x}{2}} d x+\int \frac{\sin \frac{x}{2}}{\cos ^{2...
Read More →Which of the following is not true of a eukaryotic cell?
Question: Which of the following is not true of a eukaryotic cell? a. The cell wall is made up of peptidoglycans b. 80S type of ribosomes is present in the cytoplasm c. Mitochondria contain circular DNA d. Membrane-bound organelles are present Solution: Option (a)The cell wall is made up of peptidoglycansis the answer....
Read More →What is a tonoplast?
Question: What is a tonoplast? a. The outer membrane of mitochondria b. The inner membrane of chloroplast c. Membrane boundary of the vacuole of plant cells d. The cell membrane of a plant cell Solution: Option (c)Membrane boundary of the vacuole of plant cellsis the answer....
Read More →Which of the following statements
Question: Which of the following statements is true for a secretory cell? a. Golgi apparatus is absent b. Rough Endoplasmic Reticulum (RER) is easily observed in the cell c. Only Smooth Endoplasmic Reticulum (SER) is present d. Secretory granules are formed in the nucleus. Solution: Option (b)Rough Endoplasmic Reticulum (RER) is easily observed in the cell is the answer....
Read More →Evaluate:
Question: Evaluate: $\int \frac{1-\cos x}{1+\cos x} d x$ Solution: Let $I=\int \frac{(1-\cos x)}{(1+\cos x)} d x$ $=\int \frac{(1-\cos x)}{(1+\cos x)} d x$ $=\int \frac{\left(2 \sin ^{2} \frac{x}{2}\right)}{2 \cos ^{2} \frac{x}{2}}$ $=\int \tan ^{2} \frac{x}{2} d x$ $=\int\left(\sec ^{2} \frac{x}{2}-1\right) d x$ $=\frac{\left(\tan \frac{x}{2}\right)}{\frac{1}{2}}-x$ Hence, $\mathrm{I}=2 \tan \frac{\mathrm{x}}{2}-\mathrm{x}+\mathrm{C}$...
Read More →Who proposed the fluid mosaic model
Question: Who proposed the fluid mosaic model of the plasma membrane? a. Benda b. Schleiden and Schwann c. Singer and Nicolson d. Robert Brown Solution: Option (c)Singer and Nicolson is the answer....
Read More →Evaluate:
Question: Evaluate: $\int \frac{1+\cos x}{1-\cos x} d x$ Solution: Let $I=\int \frac{1+\cos x}{1-\cos x} d x$ $\Rightarrow \int \frac{1+\cos x}{1-\cos x} d x$ $\Rightarrow \int \frac{2 \cos ^{2} \frac{x}{2}}{2 \sin ^{2} \frac{x}{2}} d x$ $\Rightarrow \int \cot ^{2} \frac{x}{2} d x$ $\Rightarrow \int\left(\operatorname{cosec}^{2} \frac{x}{2}-1\right) d x$ $\Rightarrow \frac{\left(-\cot \frac{x}{2}\right)}{\frac{1}{2}}-x$ Hence, $I=-2 \cot \frac{x}{2}-x+C$...
Read More →Which of the following features is common
Question: Which of the following features is common to prokaryotes and many eukaryotes? a. Chromatin material b. Cell wall present c. Nuclear membrane present d. Membranes bound sub-cellular organelles present Solution: Option (b)Cell wall present is the answer....
Read More →Evaluate:
Question: Evaluate: $\int \sin x \sqrt{1+\cos 2 x} d x$ Solution: Let $I=\int \sin x \sqrt{(1+\cos 2 x)} d x$ $=\int \sin x \sqrt{(1+\cos 2 x)} d x$ $=\int \sin x \sqrt{2 \cos ^{2} x} d x$ $=\int \sin x \sqrt{2} \cos x d x$ $=\sqrt{2} \int \sin x \cos x d x$ Now, Multiply and Divide by 2 we get, $=\frac{\sqrt{2}}{2} \int 2 \sin x \cos x d x$ $=\frac{\sqrt{2}}{2} \int \sin 2 x d x$ $=\frac{\sqrt{2}}{2} \frac{-\cos 2 x}{2}$ Hence, $I=-\frac{1}{2 \sqrt{2}} \cos 2 \mathrm{x}+\mathrm{C}$...
Read More →