Archives

Intensity level of sound whose intensity is 10^-8 Wm^-2 is ______ dB

a) 80 dB b) 8 dB c) 4 dB d) 40 dB Answer: d) 40 dB Solution: I = 10-8 Wm-2 Reference intensity I0... View Article

The equation of a simple harmonic wave is given by y = 6sin 2π (2t – 0.1x), where x and y are in mm and t is in second. The phase difference between two particles 2 mm apart at any instant is

a) 18° b) 36° c) 54° d) 72° Answer: d) 72° Solution: Given equation can be written as... View Article

If V_m is the velocity of sound in moist air, V_d is the velocity of sound in dry air, under identical conditions of pressure and temperature

a) Vm < Vd b) Vm > Vd c) VmVd = 1 d) Vm = Vd Answer: b) Vm > Vd Solution: Sound is the vibration of air, so if the... View Article

The ratio of velocity of sound in oxygen to that in hydrogen at same temperature and pressure is approximately

a) 16 : 1 b) 1 : 16 c) 4 : 1 d) 1 : 4 Answer: d) 1 : 4 Solution: Velocity of sound in a gas, v=√γRT/M where... View Article

If sound wave travel from air to water, which of the following remains unchanged?

a) Velocity b) Wavelength c) Frequency d) Intensity Answer: c) Frequency Solution: We know that frequency is independent of... View Article

Compressional wave pulses are sent to the bottom of sea from a ship and the echo is heard after 2 s. If bulk modulus of elasticity of water is 2 × 10⁹ Nm^-2 and mean temperature is 4°C, then the depth of the sea will be

a) 1014 m b) 1414 m c) 2828 m d) 1825 m Answer: b) 1414 m Solution: The speed of sound in water is given by, v = √B/d... View Article

A point source emits sound equally in all directions in a non-absorbing medium. Two points P and Q are at distances of 2m and 3m respectively from the source. The ratio of the intensities of the waves at P and Q is

a) 9 : 4 b) 2 : 3 c) 3 : 2 d) 4 : 9 Answer: a) 9 : 4 Solution: d1 = 2m d2 = 3m Intensity ∝ 1/(distance)2... View Article

Two Cu wires of radii R₁ and R₂, such that (R₁ > R₂ ). Then which of the following is true?

1) Transverse wave travels faster in thicker wire 2) Transverse wave travels faster in thinner wire 3) Travels with the same speed in both... View Article

A string of density 7.5 g cm^-3 and area of cross-section 0.2 mm² is stretched under a tension of 20 N. When it is plucked at the mid-point, the speed of the transverse wave on the wire is

a) 116 ms-1 b) 40 ms-1 c) 200 ms-1 d) 80 ms-1 Answer: a) 116 ms-1 Solution: v = √(T/μ) T = 20 N f = 7.5 g... View Article

A sonometer wire of length 1.5 m is made of steel. The tension in it produces an elastic strain of 1%. What is the fundamental frequency of steel if the density and elasticity of steel are 7.7 × 10³ kg / m³ and 2.2 × 10¹¹ N / m² respectively?

a) 188.5 Hz b) 178.2 Hz c) 200.5 Hz d) 770 Hz Answer: b) 178.2 Hz Solution: Frequency, f = v/2l = (1/2l)√(T/μ)... View Article

A string of mass 3 kg is under the tension of 400 N. The length of the stretched string is 25 cm. If the transverse jerk is stuck at one end of the string, how long does the disturbance take to reach the other end?

a) 0.043 s b) 0.055 s c) 0.034 s d) 0.065 s Answer: a) 0.043 s Solution: L = 25 cm = 25 x 10-2 m M = 3 kg m = M/L =... View Article

Which quantity is transmitted with the propagation of longitudinal waves through a medium?

a) Dispersion b) Energy c) Matter d) Frequency Answer: b) Energy Solution: Energy is transferred with the propagation of the... View Article

A metallic wire of 1 m length has a mass of 10 × 10^-3 kg. If the tension of 100 N is applied to a wire, what is the speed of the transverse wave?

a) 100 m/s b) 10 m/s c) 200 m/s d) 0.1 m/s Answer: a) 100 m/s Solution: length, l = 1 m Mass, M = 10 × 10-3 kg... View Article

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Archives

Intensity level of sound whose intensity is 10^-8 Wm^-2 is ______ dB

The equation of a simple harmonic wave is given by y = 6sin 2π (2t – 0.1x), where x and y are in mm and t is in second. The phase difference between two particles 2 mm apart at any instant is

If V_m is the velocity of sound in moist air, V_d is the velocity of sound in dry air, under identical conditions of pressure and temperature

The ratio of velocity of sound in oxygen to that in hydrogen at same temperature and pressure is approximately

If sound wave travel from air to water, which of the following remains unchanged?

Compressional wave pulses are sent to the bottom of sea from a ship and the echo is heard after 2 s. If bulk modulus of elasticity of water is 2 × 10⁹ Nm^-2 and mean temperature is 4°C, then the depth of the sea will be

A point source emits sound equally in all directions in a non-absorbing medium. Two points P and Q are at distances of 2m and 3m respectively from the source. The ratio of the intensities of the waves at P and Q is

Two Cu wires of radii R₁ and R₂, such that (R₁ > R₂ ). Then which of the following is true?

A string of density 7.5 g cm^-3 and area of cross-section 0.2 mm² is stretched under a tension of 20 N. When it is plucked at the mid-point, the speed of the transverse wave on the wire is

A sonometer wire of length 1.5 m is made of steel. The tension in it produces an elastic strain of 1%. What is the fundamental frequency of steel if the density and elasticity of steel are 7.7 × 10³ kg / m³ and 2.2 × 10¹¹ N / m² respectively?

A string of mass 3 kg is under the tension of 400 N. The length of the stretched string is 25 cm. If the transverse jerk is stuck at one end of the string, how long does the disturbance take to reach the other end?

Which quantity is transmitted with the propagation of longitudinal waves through a medium?

A metallic wire of 1 m length has a mass of 10 × 10^-3 kg. If the tension of 100 N is applied to a wire, what is the speed of the transverse wave?

If f (2x + 3y, 2x – 7y) = 20x, then f(x, y) equals

Let f(x) = αx²/(x+1), x ≠ -1. The value of α for which f(a) = a, (a ≠ 0) is

If f (x) = e^-x, then f(-a)/f(b) is equal to

The function f(x) = log(x + √(x²+1)), is

Let f (x) = x, g(x) = 1/x and h(x) = f(x) g(x). Then, h(x) = 1 if and only if

The domain of the function √(x² – 5x + 6) + √(2x + 8 – x²) is

The domain of the function f(x) = √(x¹⁴ – x¹¹ + x⁶ – x³ + x² + 1) is

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