A bullet of mass 40 g is traveling at a speed of 1.0 km/s. Its de-Broglie wavelength would be

A slit is illuminated by light of wavelength \( 6500 \text{ \AA} \).
The first minimum is observed at \( \theta = 30^\circ \). The width of the slit is:

A coil with an inductance of 0.2 H has an inductive reactance of \( 62.8 \, \Omega \) at a certain frequency. The frequency is

In Young's double slit experiment using monochromatic light of wavelength \(\lambda\) the intensity of light at a point on the screen is 20 units, where the path difference is \(\lambda\). The intensity of light at a point having the path difference \(\lambda / 4\) is

A coil of 400 turns of effective area \(0.05 \text{ m}^2\) is kept perpendicular to a magnetic field of \(5 \times 10^{-3} \text{ T}\). When the plane of coil is rotated by \(90^\circ\) around any of its co-planar axis in 0.2 s in magnetic field, the emf induced in the coil is

The current through a resistor in a circuit is 0.6 A. On putting a resistance of \(2 \Omega\) in parallel with the resistor, the current drops to 0.9 A. The resistance of the resistor is

The current in a resistive series circuit is 7.0 A. On adding a resistance of 1.6 \( \Omega \) in the same circuit in series, the current drops to 5.0 A. The original resistance of the circuit is :

Match List - I with List - II.

List - I	List - II
A. Simple and face centred cubic	I. \(\text{a} = \text{b} = \text{c}\)
B. Cubic and rhombohedral	II. \(\alpha = \beta = \gamma = 90°\)
C. Cubic and tetragonal	III. have only two crystallographic angle of \(90°\)
D. Hexagonal and monoclinic	IV. belong to the same crystalline system

Choose the correct answer from the options given below :

Read the passage carefully and answer the Questions
The concentration dependence of the rate of a reaction is called the differential rate equation. It is not always convenient to determine the instantaneous rate, as it is measured by calculating the slope of the tangent at point 't' in the concentration vs time plot. This makes it difficult to determine the rate and hence the order of the reaction. This difficulty is overcome by integrating the differential rate equation. This integrated rate equation gives a direct relation between concentrations at different times and the rate constant. The integrated rate equations are different for the reactions having different reaction orders.
A reaction is first order in A and second order in B. If the concentration of B is doubled its initial concentration and A is reduced to 3/4th of its initial concentration, the new rate of the reaction is

By increasing the temperature, resistivity of a conductor and a semiconductor

Arrange the following in the decreasing order of their magnetic moment values:
A. Sc (Z=21)
B. V (Z=23)
C. Mn (Z=25)
D. Fe (Z=26)
E. Ni (Z=28)
Choose the correct answer from the options given below:

Sex determination in grasshopper is of -

The value of the determinant \(\left|\begin{array}{lll}1 & x & y+z \\ 1 & y & z+x \\ 1 & z & x+y\end{array}\right|\) is :