If the frequency of light in a photoelectric experiment is doubled the stopping potential will be:

A cell of emf \( \mathcal{E} = 10 \text{ V} \) and internal resistance \( r = 3 \Omega \) is connected to a uniform wire of length \( L = 500 \text{ cm} \) and resistance \( R = 3 \Omega \). The drop of potential with length in the wire is:

The magnetic flux through a coil placed in a magnetic field is given by \( \phi = 5t^3 + 4t^2 + 2t - 5 \) Wb The resistance of the coil is 10 \( \Omega \). The induced current through the coil at \( t = 2 \) s is :

Two coherent monochromatic light beams of intensities I and 16 I, respectively, superimpose over each other. The resultant intensity in the constructive interference is

A current of 2 A flows through a plane circular coil of radius 3 cm and having 50 turns. The coil has been placed in a uniform magnetic field of 0.6 T. The minimum potential energy of the coil will be

The rate of change of current which produces an induced emf of 100 V in an inductor of inductance 10 H is

A metal plate is getting heated: It can be because
A. a direct current is passing through the plate
B. it is placed in a time varying magnetic field
C. it is placed in space varying magnetic field, but doesn't vary with time.
D. an alternating current passing through the plate
E. it is placed between the pole pieces of a magnet
Choose the correct answer from the options given below:

Read the Passage carefully and answer the the questions
Insulin consists of two short polypeptide chains : chain A and chain B, that are linked together by disulphide bridges. The first clinical gene therapy was given in 1990 to a 4-year old girl with adenosine deaminase (ADA) deficiency. This enzyme is crucial for the immune system to function. Recombinant DNA technology, Polymerase Chain Reaction (PCR) and Enzyme Linked Immuno-sorbent Assay (ELISA) are some of the techniques that serve the purpose of early diagnosis of diseases. Transgenic animals that produce useful biological products can be created by the introduction of the portion of DNA (or genes) which codes for a particular product such as human protein (α-1-antitrypsin) used to treat emphysema. Biopiracy is the term used to refer to the use of bio-resources by multinational companies and other organisations without proper authorisation from the countries and people concerned without compensatory payment.
Deficiency of adenosine deaminase (ADA) can be permanently cured by -

\(\int \frac{x+\sqrt{x}}{2 \sqrt{x}} d x=\)

The feasible region represented by the constraints of the linear programming problem :
\(x+y \leq 6, y \leq 7, x \geq 4, x, y \geq 0\) is :

The common region determined by all constraints of a Linear programming problem is called:

The specific rate constant of a first order reaction depends on the

A mark placed on the surface of a sphere is viewed through glass from a position directly opposite. If the diameter of the sphere is 10 cm and refractive index of glass is 1.5, the image would be at