Q- Light of wavelength *λ* = 450 nm illuminates two slits. Slit A has a larger opening than slit B. The center of slit A is at y = 0, and the center of slit B is at *y* = *d* = 0.1 cm. The screen is *L* = 1 m away from the plane of the slits. When slit A is open and slit B is closed, the light intensity on…

## . June 2017

### Interference of Light

### Torque, Lever

Q- A fulcrum is created by balancing a ruler on a pencil in the middle. Six one rupee coins are placed at 10 cm to the left of the pivot point.

(a) what is the torque exerted by the stack of the six coins about the pivot point if each coin has a mass of 10 grams?

(b) if the ruler is to be balanced…

### Waves on string

Q- An apparatus similar to the one used in lab uses an oscillating motor at one end to vibrate a long rope with frequency *f* = 35 Hz and amplitude *A* = 0.25 m. The rope is held at constant tension by hanging a mass on the other end. The length of the rope is adjusted to form loops.The rope has mass de…

### Work Done

Q- A block of mass 2.50-kg is pushed 2.20 m along a frictionless horizontal table by a constant 16.0-N force directed 30^{0} below the horizontal. Determine the work done by (a) the applied force, (b) the normal force exerted by the table, (c) the force of gravity, and (d) the net force on the block.

### Projectile Motion

Q- A projectile is fired form the edge of a 100 meter tall building with an initial speed of 10 m/s at 30 degrees __above__ the horizon and lands on the ground. Neglecting the air resistance.

(a) Find the horizontal and vertical components of the __initial__ velocity of the projectile.

(b) How long doe…

### Electromagnetic Induction: Solenoid

Q- A solenoid has length L = 30 cm, radius 6 cm, and N_{1} = 5500 turns; its axis coincides with the z-axis. A circular conducting loop containing N_{2} = 15 turns of radius a = 3 cm is **centered** inside the solenoid; the plane of the loop makes a 30° angle with respect to the z-axis. The loop has a net res…

### Newton's Law: Vectors

Q- Three astronauts, propelled by jet backpacks, push and guide a 195 kg asteroid toward a processing dock. One astronaut exerts a force of 30 N, 30^{0} from positive x-axis towards positive y direction, second exerts a force of 55 N along the x-axis and third astronaut exerts a force of 41 N, 60^{0} from…

### Electromagnetic Waves

Q- A vertically polarized radio wave of frequency 9.0*10^{5} Hz traveling into the page. The maximum electric field strength is 1250 V/m.

(a) What is the maximum magnetic field strength?

(b) What is the magnetic field strength and direction at a point where electric field is E = 625 V/m, downward? …

### Gravitation

Q- Sketch graphs of total mechanical, potential and kinetic energy verses time, on the same paper, for

(a) a 0.5 kg metal ball dropped from rest falling from point A to B in 5 second under gravity. (g = 10 m/s^{2})

(b) a 5.0g sheet of paper falling with terminal velocity 1 m/s from point A …

### Circular Motion

Q- A cat rides a merry-to-round turning in circular motion with uniform speed. At time t_{1} = 2.00 s, the cat’s velocity (in m/s) is V_{1}=3.0 i + 4.0 j, measured on a horizontal x-y coordinate system. At t_{2} = 5.00 s its velocity is V_{2}= (-3.0) i + (-4.0) j. What are the

(a) magnitude of the cat’s ce…

### Conduction Of Heat

Q- A glass windowpane has an area of 3.00 m^{2} and a thickness of 0.600 cm. If the temperature difference between its faces is 25.0 degrees Celsius, what is the rate of energy transfer by conduction through the window? (coefficient of conductivity for glass to be taken as 0.8 W/(m.K)

### Transformers

Q1- A step-up transformer has a primary coil with 100 loops and a secondary coil with 1,500 loops. If the primary coil is supplied with a household current of 120 V and 15 A,

(a) what voltage is produced in the secondary circuit?

(b) What current flows in the secondary circuit?

Q2- The step-down …

### Magnetic Field: Coaxial Cable.

Q- An infinite cylindrical conductor of radius *a* = 1 cm carries a current *I*_{1} = 0.3 A out of the page. A coaxial, infinite, thin cylindrical conducting shell of radius *b* = 5 cm carries a current *I*_{2} = 0.12 A, into the page. The current densities in each conductor are uniform.

(a) Calculate the magnit…

### Magnetic Field: Torus

Q- A circular torus has inner radius R_{1} = 30 cm, outer radius R_{2} = 50 cm, and N = 710 turns wound uniformly around it. The current in the windings is I = 3 A.

(a) Calculate the magnitude of the magnetic field *B,* inside the torus, in the symmetrical plane along the inner and outer diameter, at the f…

### Electromagnetism

Q- A wire frame in the shape of an equilateral triangle of side *d* = 8 cm, carries current *i* = 0.25 A. This frame is located in a region of space that contains a constant magnetic field of magnitude *B* = 1.3 T, Normal to the plane of the frame and the frame is in stable equilibrium. What is the work y…

## Comments

Abhigyan Martin NinamaRohit DewalAjay kumar