As shown in the figure, Avinash is standing near his home.He can choose from two roads to go to school.Which way is shorter? Explain why.

A road network as shown in the figure connect four cites.In how many ways can you start from any city (say A) and come back to it without travelling on the same road more than once?

Shown in the figure is the position-time graph for two chldren (C_1 & C_2) going home from the school. Which of the following statements(s) about their relative motion is/are true after both of them started moving? Their relative velocity: (consider 1-D motion)

(a) Draw graph showing the variation of current versus voltage in an electroyte when an external resistance is also connceted. (b) (i) The graph between resistance (R ) and temperature (T) for Hg is shown in the figure (a). Explain the behaviour of Hg near 4k. (ii) In which region of the graph shown in the figure (b) is the resistance negative and why?

Beera, a farmer would clear his field everyday, and burn dry leaves fallen on the ground. After sometime he found that thoseliving in huts near his field were suffering from cough and breathing problems. (i) Can you explain why? (ii) Also suggestan environment friendly way to dispose the dry leaves.

A horizontal plank is 10.0 m long with uniform density and mass 10 kg .It rests on two supports which are placed 1.0 m from each end as shown in the figure. A man of mass 80 kg can stand upto distance x on the plank without causing it to tip .The value of x is

Anand travels 10 kms from his home to the east to reach his school. Then he travels 5 kms to the south to reach his father's shop, after school. He then travels 10 kms to the west to help his uncle. How far and in which direction is he from his home ?