Write in about 1000 words, a fiction piece based on your speculation on the science and technology of the twenty second century.

3

(a)

Write in about 100 words a fiction piece based on your speculation on the science and technology of the twenty-second century.

3

(a)

Compute the following with regards to significant figures.
(i) \(4.6\times 0.128\).
(ii) \(\frac { 0.9995\times 1.53 }{ 1.592 } \).
(iii) 876 + 0.4382.

3

(a)

A train 500m long crosses a bridge of 1000 m in 10s. Find the average speed of the train when it just crosses the bridge.

3

(a)

Draw displacement-time graph for a uniformly accelerated motion. What is its shape?

3

(a)

Give three important characteristics of displacement.

3

(a)

Find the angle made by vector, \(A=2\hat { i } +2\hat { j } \)  with x-axis

3

(a)

The equation of trajectory of an oblique projectile is y = \(\sqrt{3}\)x-\(\frac { { gx }^{ 2 } }{ 2 } \) .What is the initial velocity and the angle of projection of the projectile?

3

(a)

An aircraft executes a horizontal loop at a speed of 720km/h with its wings banked at 15^o . What is the radius of the loop?

3

(a)

A rod of length I and mass M held vertically is let go down, without slipping at the point of contact. What is the velocity of the top end at the time of touching the ground?

3

(a)

A wire stretches by a certain amount under a load. If the load and radius both are increased to four times, find the stretch caused in the wire.

3

(a)

Is the rate of cooling the same thing as the rate of loss of heat? Explain

3

(a)

Calculate
(i) r.m.s. velocity 
(ii) mean kinetic energy of one gram molecule of hydrogen at S.T.P. Given density of hydrogen at S. T.P. is 0.09 kg m^-3.

3

(a)

The second overtone of an open pipe has the same frequency as the first overtone of a closed pipe 2m long. What is the length of the open pipe?

3

(a)