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33 Years NEET-AIPMT Chapterwise Solutions - Physics 2020

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116 NEET-AIPMT Chapterwise Topicwise Solutions Physics

10. The equation of a sound wave is

y = 0.0015 sin (62.4x + 316t).

The wavelength of this wave is

(a) 0.3 unit (b) 0.2 unit

(c) 0.1 unit

(d) cannot be calculated. (1996)

11. Two sound waves having a phase difference of 60°

have path difference of (l is wavelength of sound

wave)

(a)

λ

6

(b)

λ

3

(c) 2l (d) λ 2 (1996)

12. Which one of the following represents a wave?

(a) y = Asin (wt – kx)

(b) y = Acos(at – bx + c)

(c) y = Asinkx

(d) y = Asinwt. (1994)

13. The frequency of sinusodial wave

y = 0.40cos [2000 t + 0.80] would be

(a) 1000p Hz (b) 2000 Hz

(c) 20 Hz (d) 1000

π Hz (1992)

14. Equation of progressive wave is given by

⎡ ⎛ t x⎞

y = ⎢ −

+ π⎤

4sin π

5 9 6

⎥ where y, x are in cm and t is

in seconds. Then which of the following is correct ?

(a) v = 5 cm (b) l = 18 cm

(c) a = 0.04 cm (d) f = 50 Hz (1988)

15.4 The Speed of a Travelling Wave

15. A uniform rope of length L and mass m 1 hangs

vertically from a rigid support. A block of mass m 2

is attached to the free end of the rope. A transverse

pulse of wavelength l 1 is produced at the lower end

of the rope. The wavelength of the pulse when it

reaches the top of the rope is l 2 . The ratio l 2 /l 1 is

(a)

m2

m1

(b)

m1 + m2

m1

m

(c) 1

m

(d)

1 + m2

m2

m2

(NEET-I 2016)

16. 4.0 g of a gas occupies 22.4 litres at NTP. The specific

heat capacity of the gas at constant volume is

5.0 J K –1 mol –1 . If the speed of sound in this gas at

NTP is 952 m s –1 , then the heat capacity at constant

pressure is (Take gas constant R = 8.3 J K –1 mol –1 )

(a) 7.0 J K –1 mol –1 (b) 8.5 J K –1 mol –1

(c) 8.0 J K –1 mol –1 (d) 7.5 J K –1 mol –1 (2015)

17. The equation of a simple harmonic wave is given by

y = 3 sin π ( t−

x

2 50 ),

where x and y are in metres and t is in seconds.

The ratio of maximum particle velocity to the wave

velocity is

(a) 2p (b)

3

2 π (c) 3p (d) 2 3 π

(Mains 2012)

18. Sound waves travel at 350 m/s through a warm air

and at 3500 m/s through brass. The wavelength of a

700 Hz acoustic wave as it enters brass from warm

air

(a) decrease by a factor 10

(b) increase by a factor 20

(c) increase by a factor 10

(d) decrease by a factor 20 (2011)

19. A transverse wave is represented by

y = Asin(wt – kx). For what value of the wavelength

is the wave velocity equal to the maximum particle

velocity?

(a) pA/2

(b) pA

(c) 2pA (d) A (2010)

20. A transverse wave propagating along x-axis is

represented by y(x, t) = 8.0sin(0.5px – 4pt – p/4)

where x is in metres and t is in seconds. The speed of

the wave is

(a) 8 m/s

(b) 4p m/s

(c) 0.5p m/s (d) p/4 m/s. (2006)

21. A point source emits sound equally in all directions

in a non-absorbing medium. Two points P and Q are

at distances of 2 m and 3 m respectively from the

source. The ratio of the intensities of the waves at P and

Q is

(a) 3 : 2 (b) 2 : 3

(c) 9 : 4 (d) 4 : 9. (2005)

22. The equation of a wave is represented by

y = 10 –4 ⎛ x ⎞

sin 100t

10 ⎠

⎟ m, then the velocity of wave

will be

(a) 100 m/s (b) 4 m/s

(c) 1000 m/s (d) 10 m/s (2001)

23. A transverse wave is represented by the equation

y= y0

sin ( vt −x)

λ

For what value of l, is the maximum particle velocity

equal to two times the wave velocity?

(a) λ = πy

0 (b) λ = πy

0

2

3

(c) l = 2py 0 (d) l = py 0 (1998)

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