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NEET Physics Solved Question Paper 2006

Multiple Choice Questions

31.
When the two waves y₁ = a sin ωt and y₂ = a cos ωt are superimposed, then resultant amplitude is

a

2a

$\sqrt{2} a$

$\frac{a}{\sqrt{2}}$

$\sqrt{2} a$

Given, y₁ = a sin ωt .... (i)

and y₂ = a cos ωt

⇒ y₂ = $a \sin (\frac{π}{2} - ωt)$ .... (ii)

From Eqs. (i) and (ii), we get
a₁ = a , a₂ = a , $ϕ$ = $\frac{π}{2}$

Hence, resultant amplitude

$R = \sqrt{{a_{1}}^{2} + {a_{2}}^{2} + 2 a_{1} a_{2} \cos ϕ} = \sqrt{a^{2} + a^{2} + 2 a^{2} \cos \frac{π}{2}} = \sqrt{a^{2} + a^{2}} = \sqrt{2} a$

32.

A train moves towards a stationary observer with speed 34 ms^-1 . The train sounds a whistle and its frequency registered by the observer is v₁ , If the train's speed is reduced to 17 ms^-1, the frequency registered is v₂. If the speed of sound is 340 ms^-1 , then the ratio v₁ /v₂ is

2
$\frac{1}{2}$
$\frac{18}{19}$
$\frac{19}{18}$

33.

Two vibrating strings of the same material but lengths L and 2 L have radii 2r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length L with frequency v₁ and the other with frequency v₂ . The ratio v₁ / v₂ is

34.

The temperature, at which centigrade and Fahrenheit scales give the same reading, is

- 40°
40°
- 30°
30°

35.

A brass rod of length 500 mm and diameter 3 mm is joined to a steel rod of same length and diameter at 50°C. If the coefficients of linear expansion of brass and steel are 2.5 x 10^-5 ° C^-1 and 1.25 x 10^-5 ° C^-1 , then change in length of the combined rod at 200°C is

2.4 mm
2.8 mm
3.2 mm
3.6 mm

36.

A copper block of mass 4 kg is heated in a furnance to a temperature 425°C and then placed on a large ice block. The mass of ice that will melt in this process will be (Specific heat of copper = 500 J kg^-1 ° C^-1 and heat of fusion of ice = 336 kJ kg^-1 )

0.5 kg
1 kg
1.5 kg
2.5 kg

37.

A block of ice at - 10°C is slowly heated and converted to steam at 100°C. Which of the following curves represents this phenomenon qualitatively ?

38.

The pressure and density of a diatomic gas $(γ = \frac{7}{5})$ change adiabatically from (P₁ , ρ₁) to (P₂ , ρ₂) . If $\frac{ρ_{2}}{ρ_{1}} = 32$ , then $\frac{P_{2}}{P_{1}}$ should be

39.

One mole of an ideal gas at an initial temperature of T K does 6R joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is 5/3, then final temperature of the gas will be