At an instant of time, a magnetic field is applied along the velocity of the particle. The acceleration produced in the particle will be

Two particles x and y having equal charge, after being accelerated through the same potential difference, enter a region of a uniform magnetic field. They describe circular paths of radii \( R_1 \) and \( R_2 \), respectively. The ratio of the mass of x to that of y is:

A wheel with 8 metallic spokes each 50 cm long is rotated with a speed of 120 rev/min in a plane normal to the horizontal component of the earth's magnetic field. The earth's magnetic field is \( 0.4 \text{ G} \). Calculate the emf induced between the axle and the rim.

The winding of the solenoid with 1000 turns per meter, core material with relative permeability 400 and carrying a current of 2 A, the magnetisation (M) is approximately given by :

A concave mirror of focal length 6 cm is placed at a distance 'd' from the convex lens of focal length 8 cm. A beam of light coming from infinity and falling on this convex lens-concave mirror combination returns to infinity. The distance 'd' must be equal to:

The focal length of a lens depends on

Light from a point source in air falls on spherical glass surface (n = 1.4 and radius of curvature 20 cm). The distance of light source from the glass surface is 150 cm, At what position is the image formed?

A parallel plate capacitor made of circular plates each of radius 10.0 cm has a capacitance 200 pF . The capacitor is connected to a 200 V ac supply with an angular frequency of \(200 rad / s\). The amplitude of the current is :

Read the following passage carefully and answer the given questions.
Bioactive molecule, cyclosporin A, that is used as an immunosuppressive agent in organ-transplant patients, is produced by the fungus Trichoderma polysporum. Statins produced by the yeast Monascus purpureus have been commercialised as blood-cholesterol lowering agents. It acts by competitively inhibiting the enzyme responsible for synthesis of cholesterol. Baculoviruses are pathogens that attack insects and other arthropods. The majority of baculoviruses used as biological control agents are in the genus Nucleopolyhedrovirus. These viruses are excellent candidates for species-specific, narrow spectrum insecticidal applications. They have been shown to have no negative impacts on plants, mammals, birds, fish or even on non-target insects. BOD refers to the amount of the oxygen that would be consumed if all the organic matter in one liter of water were oxidised by bacteria. The sewage water is treated till the BOD is reduced. Cheese, is one of the oldest food items in which microbes were used. Different varieties of cheese are known by their characteristic texture, flavour and taste. For example, the large holes in 'Swiss cheese' are due to production of a large amount of CO₂ by a bacterium named Propionibacterium sharmanii.
Statins are produced by:

Solution of the differential equation \(\log \left(\frac{d y}{d x}\right)=3 x+4 y\) given that y = 0 when x = 0 :

If the magnetic field \(\vec{B} = \hat{i} - 0.3\hat{j}\) and the area \(\vec{A} = \hat{i} + 6\hat{j} - 3\hat{k}\) then the magnetic flux through this area is:

The vector equation of line passing through \((-1,3,-2)\) and perpendicular to the lines \(\frac{x+4}{1}=\frac{y}{2}=\frac{z-3}{3}\) and \(\frac{x+2}{-3}=\frac{y+5}{2}=\frac{z-6}{5}\) is

Succession occurring after flood is: