In a single slit experiment, a diffraction pattern is obtained on the screen for yellow light. What will be the effect on the diffraction pattern, if yellow light is replaced by X-rays?

The figure shows a current loop having two circular arcs joined by two radial lines. If radius OA is 'a' and OD is 'b', the magnetic field at the centre O is.

In the given circuit, \( R_1 = 6 \Omega \), \( R_2 = 3 \Omega \), \( C_1 = 4 \mu F \) and \( C_2 = 5 \mu F \). When key K is closed, the charge stored in \( C_1 \) is

In LCR series circuit with resistance R, inductive reactance \( X_L \) and capacitive reactance \( X_C \), the maximum current '\( I_0 \)' at resonance is given as :

Which of the following statements are true regarding alternating current:
(A) In an a.c. circuit containing resistance only, a.c. power is expressed in the same form as d.c. power (\( P = I^2 R \)), using a special value of current called root mean square (rms) or effective current, denoted by \( I_{rms} \).
(B) A phasor is a vector.
(C) Resonance phenomenon is exhibited by a circuit even if both L and C are not present in the circuit.
(D) For circuits used for transporting electric power, a low power factor implies less power loss in transmission.
Choose the correct answer from the options given below:

A cell supplies a current of 0.6 A through a 3 \( \Omega \) resistor and a current of 0.2 A through a 10 \( \Omega \) resistor. The internal resistance of the cell is :

The force between two electric charges is expressed by the equation : \( F = \frac{kq_1q_2}{r^2} \).
Which of the following is a correct statement ?

Read the passage carefully and answer the Questions
The term vitamin was coined from the word vital +amine since the earlier identified compounds had amino groups. Later work showed that most of them didn't contain amino groups, so the letter "e" was dropped and ther term vitamin is used these days.
Vitamins are classified into two groups depending upon their solubility in water or fat. Fat soluble vitamins are soluble in fat and oils but insoluble in water. They are stored in liver and adipose (fat storing) tissues. Water-soluble vitamins are soluble in water. They must be supplied regularly in the diet as they are readily excreated in urine.
Which Vitamin is known as Pyridoxine?

If the de Broglie wavelengths for a proton and an \(\alpha\)-particle are equal, then the ratio of their velocities respectively will be :

Let two independent random samples of sizes \(n_1\) and \(n_2\) respectively have been drawn from the same normal population. Let \(\overline{X_1}\) and \(\overline{X_2}\) be the means and let \(s_1\) and \(s_2\) be their standard deviations. In order to test whether the the two sample means \(\overline{X_1}\) and \(\overline{X_2}\) differ significantly or not, the \(t\)-test statistic is given by

Magnetic moment of a thin bar magnet is 'M'. If it is bent into a semicircular form, its new magnetic moment will be :

The correct relation(s) among total energy, kinetic energy and potential energy as per Bohr's theory of hydrogen atom is/are
(A) T.E. \(=-\) K.E.
(B) K.E. \(=\) P.E.
(C) K.E. \(=-\frac{\text { P.E. }}{2}\)
(D) T.E. \(=\frac{\text { P.E. }}{2}\)
(E) T.E. \(=\) P.E.
Choose the correct answer from the options given below :

The function \(f(x)=k x^3+6 k x^2+18 x+17\) is increasing on \(R\) (set of real numbers) if: