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A beam of equally charged particles after being accelerated through a voltage V enters into a magnetic field B as shown In the figure. It is found that all the particles hit the plate between C and D. The ratio between the masses of the heaviest and lightest particles of the beam is

In the circuit shown, the variable resistance is so adjusted that the ammeter reading is same in both the position 1 and 2 of the key. The reading of ammeter Is 2 A. If ε = 10 V, then X is

In an L-C circuit the graph of magnetic energy and current is as shown in figure. The maximum charge stored in the capacitor is .

A smooth parabolic wire track described by equation X² = 2ay is fixed in x – y plane as shown in figure in a gravity free space. An electric field defined by equation E = α(y i + x j) is present in space. A ring of mass m and charge +q is released from rest from a point A (-a, a/2) reaches at an another point B(a, a/2). Then velocity of ring at B will be [ring just fits in wire track]

Read the given statements and mark the correct option.
Statement 1 : If a metal block is placed near a large uniformly charged non-conducting sheet, It does not experience any net force.
Statement 2 : A dipole does not experience any net force in a uniform electric field.

A real Image Is formed by a convex lens for an object placed at distance d from the lens. A concave lens is put in contact with the convex lens and again a real image is formed when the object is placed at same distance d from the lens system. This Image will (as compared to the earlier image)

Two radioactive substances X and Y emit α and β particles respectively. Their disintegration constants are in the ratio 2 : 3. To have equal probabilities of getting emission of α and β particles, the ratio of number of atoms of X to that of Y at any time Instant is

A disc of radius R = 10 cm oscillates as a physical pendulum about an axis perpendicular to the plane of the disc at a distance r from its centre. If r = R/4, the approximate period of oscillation is (Take g = 10 m S^-2)

Directions: Read the passage carefully and answer Q. nos. 9, 10 and 11.
Two long parallel wires carrying currents 2.5 A and l A In the same direction (directed Into the plane of the paper) are held at P and Q respectively such that they are perpendicular to the plane of the paper. The points P and Q are located at a distance of 5 m and 2 m, respectively, from a collinear point R as shown In figure. An electron moving with a velocity of 4 * 10⁵ m s^-1, along the positive X-direction experiences a force of magnitude 3.2 * 10^-20 N at the point R.

The magnitude of magnetic field at point R Is

Directions: Read the passage carefully and answer Q. nos. 9, 10 and 11.
Two long parallel wires carrying currents 2.5 A and l A In the same direction (directed Into the plane of the paper) are held at P and Q respectively such that they are perpendicular to the plane of the paper. The points P and Q are located at a distance of 5 m and 2 m, respectively, from a collinear point R as shown In figure. An electron moving with a velocity of 4 * 10⁵ m s^-1, along the positive X-direction experiences a force of magnitude 3.2 * 10^-20 N at the point R.

The magnitude of magnetic field at point R due to current 2.5 A in wire P Is

Directions: Read the passage carefully and answer Q. nos. 9, 10 and 11.
Two long parallel wires carrying currents 2.5 A and l A In the same direction (directed Into the plane of the paper) are held at P and Q respectively such that they are perpendicular to the plane of the paper. The points P and Q are located at a distance of 5 m and 2 m, respectively, from a collinear point R as shown In figure. An electron moving with a velocity of 4 * 10⁵ m s^-1, along the positive X-direction experiences a force of magnitude 3.2 * 10^-20 N at the point R.

The current l In wire Q Is

A uniform circular disc of mass m and radius 8 can rotate in a vertical plane about a horizontal axis through a point 0, on Its circumference. The disc Is held with the diameter OA through O horizontal and then released. If a constant frictional couple of mga/2π opposes the motion, the angular speed when OA is vertical will be

In the given figure, the electric field lines on the left have twice the separation of those on the right. If the magnitude of the field at A Is 40 N/C. What is the magnitude of the field at B?

A convex lens forms an Image of an object on a screen. The height of the image is 9 cm. The lens is now displaced until an Image Is again obtained on the screen. The height of this Image is 4 cm. The distance between the object and the Screen is 90 cm. Which among the following statements is not correct?

A paint mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg mass reverses Its direction and moves with a speed of 2 m s^-1. Which of the following statements Is correct for the system of these two masses?

If glycerin, (C₃H₅(OH)₃) and methyl alcohol, (CH₃ OH), sell at the same price per pound, which would be cheaper for preparing an antifreeze solution for the radiator of an automobile?

Characteristic property of element/compound Is written against each triad.
Pick the element/compound from each triad with that property.

In an experiment, 5 cm³ of 1.0 mol/dm³ sodium hydroxide, NaOH, is gradually added to 10 cm³ of 1.0 mol/dm³ hydrochloric acid, HCI, containing methyl orange Indicator.
Identify the change that occurs in the mixture.

In which of the following option, second compound gives a precipitate more rapidly than the first compound when reacted with AgNO₃ in ethanol?

Cellulose, the most Important constituent of plant cell wail, is made up of

Check the sequence of reactions.
Considering probable stereochemistry of bromide formation due to PBr₃ reaction, find the option that correctly represents the product?

Match Column-I with Column-II and select the correct answer using the codes given below.

When [Ni(NH₃)₄)” is treated with concentrated HCI, two compounds having the formula Ni(NH₃),CI₂ (designated I and II) are formed. Compound I can be converted Into compound II by boiling in dilute HCI. A solution of compound I reacts with oxalic acid to form NI(NH₃)₂(C₂O₄). Compound II does not react with oxalic acid. Choose the correct option about the configurations of compounds and II and the geometry of the nickel(II) complexes.

Two moles of helium gas occupy 10 litres at 27°C. The gas Is first expanded at constant pressure until the volume is double. It then undergoes adiabatic change until the temperature returns to its Initial value. Which graph Is correct for this process?

One gram (dry weight) of green algae was able 10 absorb 5.5 x 10³ mol CO₂ per hour by photosynthesis. If the fixed carbon atoms were all stored after photosynthesis as starch, (C₆H₁₀O₅)_n, how long would it take for the algae to double their own weight? Neglect the increase In photosynthetic rate due to the increasing amount of living matter.

Identify E.

The following electrochemical cell has been set up

If an ammeter is connected between two platinum electrodes, what is the direction of flow of current?

For a general reaction A_g + B_g ⇔ C_g+ D_g the specific rate constant is k_forward = 2.0 x 10^-3 mot^-1 L s^-1, at a certain temperature. Reaction starts with equimolar amounts of A and B. Reaching at equilibrium, it Is observed that amount of A is twice that of C. The specific rate constant for the backward reaction Is

P₄ (white) + P (an alkaline solution) → Q (reducing gas) + R
R + dil. H₂SO₄ → T (ppt.) + S (oxyacid of P)
T gives apple green colour in the flame. Thus P, Q, R, Sand T respectively are

On combustion in excess of air, lithium forms mainly the oxide, sodium forms peroxide while potassium or rubidium or caesium form superoxides. It suggests that as cationic size increases the

Given the relation R = {1, 2), (2, 3)} in the set (1, 2, 3}, the minimum number of ordered pairs which when added to R make It an equivalence relation is ________ .

If f(x) = 3x¹⁰ – 7x⁸ + 5x⁶ – 21x³ + 3x² – 7, then the value of is __________.

The given question is based on the diagram given below showing four persons stationed at the four corners of a square piece of plot as shown. From the original position B and D move one and a half length of sides clockwise and anti-clockwise respectively. Which one of the following statements is true?

If (sec A – tan A) (sec B – tan B) (sec C – tan C) = (sec A + tan A) (sec B + tan B) (sec C + tan C), then each side is equal to _____.

Introducing a man, a woman said, “His wife Is the only daughter of my father”. How Is that man related to the woman?

A rectangle with sides 2m -1 and 2n – 1 Is divided into squares of unit length by drawing parallel lines as shown In the diagram, then the number of rectangles possible with odd side lengths is ________.

In the given question, α stands for ‘equal to’ and β for ‘greater than’; if abxy α c²z, bx β ay and
b²α ac, then______.

If A and B are two matrices such that A + B and AB are both defined, then_________.

In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students In the class, what is the number of girls In the class?

An insurance salesman sells policies to 5 men, all of identical age and in good health. The probability that a man of this particular age will be alive after 30 years Is 2/3. The probability that after the lapse of 30 years, all the five persons will be alive, is _____.

How many days will there be from 26^th January 2004, to 15^th May, 2004 (both days included)?

If f and 9 are two decreasing functions such that gof exists, then ______.

If x² + px + q = 0 is the quadratic equation whose roots are a – 2 and b – 2 where a and bare the roots of x² – 3x + 1 = 0, then

Which of the following statements is not correct?

How many such letters are there in the word BACKLASH each of which is as far away from the beginning of the word as it is from the beginning of the English alphabet?

Value of

A cube of white material is painted black on all its surfaces. ” it is cut Into 125 smaller cubes of the same size, then how many cubes will have two sides painted black?

If f(x) = x⁵, gx=x and h(x) = x⁴ + 4, then

If Y = logⁿx where logⁿ means log log log ….(repeated n times), then x log x log²x log³x …. log^{n – 1} x logⁿx dx/dy is equal to……

In the given question, from amongst the options, select the one which satisfies the same conditions of placement of the dots as In figure (X).