If the velocity of a radiowave be unity, find ithe distance of an aeroplane from the radar. If the radio signal is received back by the radar in `8.4 mus`.

In Young's double slit experiment the width of the fringes obtained with ith of wavelength 4,500 overset@A is 1.8 mm.If the distance between the two slits is 0.3 mm,find the distance of the screen from the slits.What will be the fringe width,if the enitre apparatus is immersed in water of refraction index 4//3 .

A beam of ligth consisting of two wavelength 4,800 overset@A and 6,000 overset@A is used to obtain interfernce fringes in a double slit experiment.The distnce between the slits is 1.8 mm and the distance of screen from the plane of slits is 1.2 m Find the distance of the third bright frings on the screen from the central maximum for the wavelength 6,000 overset @A .

Find the co-ordinates of points on y-axis, which are at a distance of 10 units from the point (- 8, 4).

A car accelerates uniformly at the rate of 2ms^-2 after starting from rest. Find the distance travelled and velocity attained in 4 seconds.

Two radio stations broadcast their programmes at the same amplitude A and at slightly different frequencies omega_1 adn omega_2 respectively, where omega_1-omega_2 = 10^(13) Hz. A detector receives the signals from the two stations simultaneously. It can detect signals of intensity ge2A^2 . Find the time interval between successive maxima of the intensity of the signal received by the detector.

A current I=3.36 (1+2t)xx 10^-2 A increases at a steady rate in a long straight wire. A small circular loop of radius 10^-3 m has its plane parallel to the wire and is at a placed at a distance of 1 m from the wire. The resistance of the loop is 8.4 xx 10^-4 Omega . find the megnitude and the direction of the induced current in the loop.

Two long parallel wires carrying current 2.5 amperes and I ampere in the same Idirection ( directed into the plane of the paper) are held at P and Q respectively such that they are perpendicular to the plane of paper. The points P and Q are located at a distance of 5 metres and 2 metres respectively from a collinear point R ( see figure) An electron moving with a velocity of 4xx10^(5) m//s along the positive x- direction experiences a force of magnitude 3.2xx10^(-20) N at the point R. Find the value of I.

Find the coordinates of the point at unit distance from the lines 3x-4y + 1 = 0, 8x +6y +1 = 0

Reduce the following equations into the normal form. Find their perpendicular distance from the origin and angle between perpendicular and positive direction of x-axis. (i) x-sqrt(3)y+8=0" " (ii) x-y=4 .

Shown in the figure a spring fixed at the bottomm end of all incline of inclination 37^@ . A small block of mass 2 kg starts slipping down the incline form a point 4.8 m aaway from the spring. The block compresses the spring by 20 cm, stops momentarily and then rebounds through a distance of 1 m up the incline. Find the spring constant of the spring Take g = 10 ms^-2