An ammeter of resistance \( 0.54 \text{ } \Omega \) reads current unto 1 A. The value of the shunt required to increase the range to 10 A is

If \( n_i \) is the concentration of intrinsic charge carriers in a pure semiconductor and \( n_e \) and \( n_h \) be the concentrations of electrons and holes, respectively after the semiconductor is doped, then at thermal equilibrium.

In a diffraction experiment, the screen is placed \( D = 2 \text{ m} \) away from a narrow slit. The first minimum observed is at \( x = 5 \text{ mm} \) on either side of the central maximum for wavelength of \( \lambda = 5 \times 10^{-5} \text{ cm} \). The width of the slit a is:

A 12 pF capacitor is connected to a 50 V battery. The electrostatic energy stored in the capacitor is

The linear charge density of an infinite line charge producing a uniform electric field of \(9 \times 10^6 N / C\) at a distance of 2 cm is :
(Take permittivity of vacuum \(\epsilon_0=8.85 \times 10^{-12} C ^2 N^{-1} m^{-2}\) )

The radii of curvature of a double convex lens are 15 cm and 10 cm and its refractive index is 1.3. Its focal length will be:

A nucleus with mass number 240 and binding energy per nucleon 7.6 MeV splits into two fragments each of mass number 120 with binding energy per nucleon 8.5 MeV. The amount of energy released in this process will be :

Arrange the following in increasing order of their conductivity
(A) Silicon
(B) Germanium
(C) Sodium
(D) Glass
Choose the correct answer from the options given below :

Read the passage and answer the question : There are thousands of varieties of rice in India alone. The diversity of rice in India is one of the richest in the world. Basmati rice is distinct for its unique aroma and flavour and 27 documented varieties of Basmati are grown in India. There is reference to Basmati in ancient texts, folklore and poetry, as it has been grown for centuries. Several attempts have also been made to patent uses, products and processes based on Indian traditional herbal medicine, e.g. turmeric, neem. There has been growing realisation of the injustice, inadequate compensation and benefit sharing between developed and developing countries. The Indian Parliament has recently cleared a Bill that takes such issues into consideration, including patent terms emergency provisions and research and development initiative.
When a multinational company uses bio-resource of a country without proper authorisation and compensation then it is called as:

The value of \(k\) for which the lines \(\frac{2 x-3}{4}=\frac{3-y}{k}=\frac{z-2}{-2}\) and \(\frac{x-2}{1}=\frac{y}{4}=\frac{5-z}{3}\) are perpendicular to each other is :

Choose the correct statements from the following regarding the reaction kinetics (A) A catalyst does not affect the Gibbs energy of a reaction. (B) A catalyst alters the equilibrium constant. (C) For a zero order reaction, half life is dependent on the initial concentration of the reactant. (D) Orientation of reactant molecules affects the reaction rate. Choose the correct answer from the options given below:

The de-Broglie wavelength of neutron at \( 127^\circ \text{C} \) is : (Given Boltzmann constant, \( k = 1.38 \times 10^{-23} \text{ J mole}^{-1} \text{K}^{-1}, h = 6.63 \times 10^{-34} \text{ Js} \), mass of neutron \( m = 1.66 \times 10^{-27} \text{ kg} \))

The sum of the order and degree of the differential equation representing the family of curves \(y=m x+m^4\), where \(m\) is arbitrary constant, is