A 300 turns rectangular coil of length 20 cm and breadth 12 cm is carrying a current of 12 A, when placed in a magnetic field of 6 T. The plane of the coil is making an angle of 60° with the magnetic field. What is the torque acting on the coil?

A coil has a self inductance of 10 mH . The magnitude of the maximum induced emf in the coil when a current \(I=0.1 \sin 200 t\) A flows through it at a time \(t\) will be :

The 'stopping potential' in photoelectric emissions

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:

In a Wheatstone bridge, the resistances \( R_1, R_2, R_3 \) and \( R_4 \) present in four arms are \( 10 \Omega, 30 \Omega, 30 \Omega \) and \( 90 \Omega \) respectively. If the galvanometer resistance is \( 50 \Omega \) and the voltage of the battery is 7 V and its internal resistance is \( 5 \Omega \), then the total current drawn from the battery is

A current of \( 2 \times 10^{-5} \text{ A} \) produces 25 division deflection in a galvanometer. The resistance of the galvanometer coil is \( 4 \ \Omega \). The figure of merit of galvanometer is :

A current I flows in a circular loop of radius R. The magnetic field at a point on its axis at distance r from the center of the loop is

Read the passage carefully and answer the following questions
There are mainly four series of the transition metals, \(3 d\) series ( \(S c\) to Zn), \(4 d\) series (Y to Cd), \(5 d\) series (La and Hf to Hg ) and 6d series which has Ac and elements from Rf to Cn . The two series of the inner transition metals; \(4 f\) ( Ce to Lu ) and \(5 f\) (Th to Lr ) are known as lanthanoids and actinoids respectively. Their chemical properties are transitional between those of \(s\) and \(p\) block elements. The transition metals (with the exception of Zn, Cd and Hg) are very hard and have low volatility. Their melting and boiling points are high. Transition metals have incomplete d subshell either in neutral atom or in their ions. With partly filled d orbitals these elements exhibit certain characteristic properties such as display of a variety of oxidation states, formation of coloured ions and entering into complex formation with a variety of ligands. The transition metals and their compounds are known for their catalytic activity.
In general the electronic configuration of outer orbitals of transition metals is \((n - 1)d^{1-10}ns^{1-2}\) but Pd shows an exceptional electronic configuration as......

The historic convention on Biological Diversity held in Rio de Janeiro in 1992 is also called :

Correct increasing order of wavelength of absorption in visible region for complex is
A. \(\left[ Ni ( CN )_6\right]^{4-}\)
B. \(\left[ Ni \left( H _2 O \right)_8\right]^{2+}\)
C. \(\left[ Ni ( CO )_0\right]^{2+}\)
D. \(\left[ Ni \left( NH _3\right)_6\right]^{2+}\)
Choose the correct answer from the options given below:

The current flowing through the two bulbs marked as 60 W, 240 V each when connected in series with 240 V source is:

If \(y=x \sin y\), then \(\frac{d y}{d x}\) is:

Match List-I with List-II (Given that \(c\) is an arbitrary constant)

List-I	List-II
(A) \(\int \frac{d x}{\sqrt{a^2-x^2}}\)	(I) \(\log _e\left|x+\sqrt{x^2-a^2}\right|+c\)
(B) \(\int \sqrt{a^2-x^2} d x\)	(II) \(\sin ^{-1} \frac{x}{a}+c\)
(C) \(\int \sqrt{x^2-a^2} d x\)	(III) \(\frac{x}{2} \sqrt{a^2-x^2}+\frac{a^2}{2} \sin ^{-1} \frac{x}{a}+c\)
(D) \(\int \frac{d x}{\sqrt{x^2-a^2}}\)	(IV) \(\frac{x}{2} \sqrt{x^2-a^2}-\frac{a^2}{2} \log _e\left|x+\sqrt{x^2-a^2}\right|+c\)

Choose the correct answer from the options given below :