A proton and an alpha particle moving with equal kinetic energies enter perpendicularly into a magnetic field. If \( r_p \) and \( r_\alpha \) are the respective radii of their circular paths, what will be the ratio \( \frac{r_p}{r_\alpha} \)?

Arrange the following electromagnetic waves in decreasing order of their frequencies.
(A) FM radio waves
(B) UV rays
(C) Gamma rays
(D) X-rays
Choose the correct answer from the options given below:

Three capacitors of capacitances 2 \(\mu F\), 3 \(\mu F\) and 6 \(\mu F\) are connected in series. The combination is connected to a 12 V supply. The respective potential differences across them will be

If in a plano-convex lens, the radius of the convex surface is 10 cm and the focal length is 30 cm. Then the refractive index of the material will be :

When photons travel through crossed electric and magnetic field, perpendicular to both the fields then they are? Mock Test Generation

n the given diagram, the direction of current is given. Due to the presence of the current carrying wire, the loop ABCD will be

Electrostatics deals with the study of forces, fields and potential arising from static charges. Which of the following statements are correct ?
(A) Electrostatic force is a conservative force
(B) Charge is quantized because only integral number of electrons can be transferred from one body to the other
(C) In a uniform electric field E , an electric dipole experiences a torque \(\tau\) and a net force F .
(D) The electric field lines start from positive charges and end at negative charges. If there is a single charge, these may start or end at infinity.
(E) If the uniform surface charge density of an infinite plane sheet is positive, the electric field is directed away from the plate.
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An infinite line charge produces an electric field of \( 9 \times 10^6 \text{ N/C} \) at a distance of \( 20 \text{ cm} \). The linear charge density will be :

The rate constant for a reaction is \(3.5 \mathrm{~mol}^{-1} \mathrm{~L} \mathrm{~s}-^{-1}\). The order of the reaction is:

A small signal voltage \(e=e_o\) sin wt is applied across an ideal capacitor of capacitance C. The correct statement is:

Match List-l to List-ll

List-l (Producer)	List-II (Acid)
(A) Clostridium butylicum	(I) Lactic acid
(B) Aspergillus niger	(II) Butyric acid
(C) Acetobacter aceti	(III) Citric acid
(D) Lactobacillus	(IV) Acetic acid

Choose the correct options

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 :

Which one of the following step is not involved in the genetic modification
of an organism?