Two capacitors of capacitances \(8 \mu F\) and \(20 \mu F\) are connected in series with a battery. The voltage across the \(8 \mu F\) capacitor is 5 V . The total battery voltage is:

The current sensitivity of a galvanometer increases by 10%. If its resistance also increases by 20%, the voltage sensitivity will

\(n _1\) identical capacitors, each of capacitance \(C _1\), are connected in series and charged by a source of potential difference \(3 V . n _2\) identical capacitors, each of capacitance \(C_2\), are connected in parallel and charged by a source of potential difference 2 V . Total energy stored in both the combinations is the same. What is the value of capacitance \(C _2\) in terms of \(C _{ 1 }\) ?

A railway track running north-south has two parallel rails 1 m apart. Calculate the value of induced emf between the rails, when a train passes at a speed of 25 m/s. The vertical component of earth's magnetic field at that place is \( 0.3 \times 10^{-4} \, Wbm^{-2} \)

A radio wave of wavelength 300 m can be transmitted by a transmission center. A condenser of capacity \( 2.5 \mu F \) is available. The inductance of the required coil at resonance is
(Given: \( \pi^2 = 10 \))

The wavelength of radiation emitted, when \( \text{He}^{+} \) makes a transition from the state n = 3 to the state n = 2 will be :
(Take Rydberg constant \( R = 1.097 \times 10^{7} \text{ m}^{-1} \))

A capacitor charged from a 50 V d.c. supply is found to have a charge of \( 10 \ \mu\text{C} \).The capacitance of the capacitor would be:

When dilute aqueous solution of \(\text{KI}\) (excess) is added to \(\text{AgNO}_3\) solution, the charge on the \(\text{AgI}\) colloidal, particles formed will be :

When an intrinsic semi conductor is doped with an acceptor impurity :
(A) The hole concentration increases
(B) The conductivity of semiconductor decreases
(C) The electron concentration increases
(D) The energy gap decreases
Choose the correct answer from the options given below :

Points at which normal to the curve \(y=x^3-3 x\) is parallel to \(y\)-axis are:

Read the given passage carefully and answer the questions
Salmonella typhi is a pathogenic bacterium which causes typhoid fever in human beings. Sustained high fever (39° to 40°C), weakness, stomach pain, constipation, headache and loss of appetite are some of the common symptoms of this disease. Typhoid fever could be confirmed by Widal test. Plasmodium enters the human body as sporozoites. The parasites initially multiply within the liver cells and then attack the red blood cells (RBCs) resulting in their rupture. The rupture of RBCs is associated with release of a toxic substance, haemozoin, which is responsible for the chill and high fever recurring every three to four days. There is lymphoid tissue also located within the lining of the major tracts (respiratory, digestive and urogenital tracts) called mucosa-associated lymphoid tissue (MALT). In our body, cell growth and differentiation is highly controlled and regulated. In cancer cells, there is breakdown of regulatory mechanisms. Normal cells show a property called contact inhibition by virtue of which contact with other cells inhibits their uncontrolled growth. Cancerous cells just continue to divide giving rise to masses of cells called tumors. Tumors are of two types: benign and malignant. Cannabinoids are a group of chemicals, which interact with cannabinoid receptors present principally in the brain. Generally taken by inhalation and oral ingestion, these are known for their effects on cardiovascular system of the body.
In which organ of the human body, cannabinoid receptors are principally present?

\(\int \frac{(x-3) e^x}{(x-1)^3} d x\) is equal to

The formation of pomato is an example of: