A straight canal is `4 1/2m i l e s` from a place and the shortest route from this place to the canal is exactly north-east. A village is `3m i l e s` north and four miles east from the place. Does it lie by the nearest edge of the canal?

A canal is 4 1/2 kms from a place and the shortest route from this place to the cenal is exactly north-east. A village is 3 kms north and 4 kms east from the place. Does it lie on canal?

A straight road is at a distance of 5sqrt(2) miles from a place. The shortest distance of the road from the place is in the N.E. direction. Do the following villages which (i) is 6 miles East and 4 miles North from the place lie on the road or no, (ii) is 4 miles East and 3 miles North from the place, lie on the road or not?

A straight road is at a distance of 5sqrt(2) km from a place. The shortest distance of the road from the place is in the N.E. direction. Do the following villages which (i) is 6 km East and 4km North from the place lie on the road or no, (ii) is 4km East and 3km North from the place, lie on the road or not?

Satpal walks 2/3 km from a place P, towards east and then from there (1) 5/7 km towards west. Where will he be now from P ?

A wire placed along north-south direction carries a current of 10 A from south to north. Find the magnetic field due to a 1 cm piece of wire at a point 200cm north-east from the piece.

A particle undergoes three successive displacements given by s_(1) =sqrt(2) m north - east , s_(2)=2 m due south and s_(3) =4 m, 30^(@) north of west , then magnitude of net displacement is

Consider the situation shown in figure. The two slite S_1 and S_2 placed symmetrically around the centre line are illuminated by a monochromatic light of wavelength lambda. The separation between the slits is d. The light transmitted by the slits falls on a screen M_1 placed at a distance D from the slits. The slit S_3 is at the centre line and the slit S_4 is at a distance y form S_3 . Another screen M_2 is placed at a further distance D away from M_1 . Find the ration of the maximum to minimum intensity observed on M_2 if y is equal to (dltltD) .

The time period of the magnetic in an oscillation pmagnetometer in the earth magnetic field is 2s. A short bar magnet is placed to the north of the magnetometer, at a separation 10cm from the oscillation magnet, with its north pole pointing towards north. The time period beceomes half. Calculate the magnetic moment of this short magnet.

Answer the following: a) A circular loop of Radius R carries a current I . Obtain an expression for the magnetic field at a point on its axis at a distance of x from its centre. b) A conducting rod of length 2 m is placed on a horizontal table in north-south direction. It carries a current of 5 A from south to north. Find the direction and magnitude of magnetic force acting on the rod. Given that Earth's magnetic field at the place is 0.6 xx 10^(-4) T and angle of dip is (pi/6)

A lamp of negligible height is placed on the ground l_1 away from a wall. A man l_2m tall is walking at a speed of (l_1)/(10)m//s from the lamp to the nearest point on the wall. When he is midway between the lamp and the wall, the rate of change in the length of this shadow on the wall is (a) -(5l_2)/2m//s (b) -(2l_2)/5m//s (c) -(l_2)/2m//s (d) -(l_2)/5m//s