A galvanometer having a resistance of \( 8 \, \Omega \) is shunted by a wire of resistance \( 2 \, \Omega \). If the current is 1 A, the part of it passing through the shunt will be:

A proton and a deuteron execute circular orbits having same radii of 0.5 m in a plane perpendicular to a uniform magnetic field B. If the kinetic energy of the deuteron is 50 keV, the K.E. of the proton will be

The time required for a 50 Hz alternating current to reach the peak value starting from zero

The sensitivity of a moving coil galvanometer can be increased by decreasing

In a compound microscope the focal length of objective lens and eye lens are 4 em and 10 cm respectively. An object is placed at 6 cm from the objective lens. If the final image is formed at the near point of eye, then the magnifying power of microscope is:

The phenomenon of polarisation of light confirmed that light waves are

In which of the following cases emf would be induced-

Which one of the following reactions is given by ozone (\(O_3\))?

Read the passage carefully and answer the questions based on the passage:
The number of reacting species (atoms, ions or molecules) taking part in an elementary reaction, which must collide simultaneously in order to bring about a chemical reaction is called molecularity of a reaction. In the rate equation Rate \(=k[\mathrm{~A}]^x[\mathrm{~B}]^y\)
\(x\) and \(y\) indicate how sensitive the rate is to the change in concentration of A and B, respectively. Sum of these exponents, i.e., \(x +y\) gives the overall order of a reaction where \(x\) and \(y\) represent the order with respect to the reactants A and B respectively. Hence, the sum of powers of the concentration of the reactants in the rate law expression is called the order of that chemical reaction. For a first order reaction, the concentration of the reactant varies as \([\mathrm{R}]=[\mathrm{R}]_0 e^{-k t}\)
Which of the following is a zero order reaction?

The second order derivative of \(x^3\) log x is:

In a box containing 100 bulbs, 10 are defective. Then the probability, that out of a sample of 5 bulbs none is defective, is:

The point on the curve \(y^2=x\), where the tangent makes an angle of \(\frac{\pi}{4}\) with x-axis is:

The point at which the tangent to the curve \(y = \sqrt{4x-3} - 1\) has its slope \(\frac{2}{3}\) is: