MHT-CET Exam Prep Resources | Soulshift Education

MHT-CET

Chemistry Mathematics Physics

Q. A thin film of oil (n = 1.5) is on water (n = 1.33). What is the condition for destructive interference for light of wavelength 600 nm in air? (2022)

A. 2t = (m + 1/2)λ
B. 2t = mλ
C. 2t = (m + 1)λ
D. 2t = (m - 1/2)λ

Solution

For destructive interference in a thin film with a higher refractive index below, the condition is 2t = (m + 1/2)λ/n, where n is the refractive index of the film.

Correct Answer: A — 2t = (m + 1/2)λ

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Q. A train moving at 72 km/h applies brakes and comes to a stop in 10 seconds. What is the acceleration of the train?

A. -2 m/s²
B. -3 m/s²
C. -4 m/s²
D. -5 m/s²

Solution

First convert speed to m/s: 72 km/h = 20 m/s. Using the formula: a = (v - u) / t = (0 - 20) / 10 = -2 m/s².

Correct Answer: C — -4 m/s²

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Q. A train moving at 72 km/h applies brakes and comes to a stop in 5 seconds. What is the acceleration of the train?

A. -4 m/s²
B. -5 m/s²
C. -6 m/s²
D. -7 m/s²

Solution

First convert speed to m/s: 72 km/h = 20 m/s. Using the formula: acceleration = (final velocity - initial velocity) / time = (0 - 20) / 5 = -4 m/s².

Correct Answer: B — -5 m/s²

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Q. A train moving at 72 km/h applies brakes and comes to a stop in 5 seconds. What is the deceleration? (2023)

A. 2 m/s²
B. 3 m/s²
C. 4 m/s²
D. 5 m/s²

Solution

First convert speed to m/s: 72 km/h = 20 m/s. Deceleration = (final velocity - initial velocity) / time = (0 - 20) / 5 = -4 m/s².

Correct Answer: C — 4 m/s²

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Q. A transformer has 200 turns in the primary coil and 50 turns in the secondary coil. If the primary voltage is 240 V, what is the secondary voltage? (2023)

A. 60 V
B. 120 V
C. 240 V
D. 480 V

Solution

Using the transformer equation Vp/Vs = Np/Ns, we find Vs = Vp × (Ns/Np) = 240 V × (50/200) = 60 V.

Correct Answer: A — 60 V

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Q. A transformer steps down voltage from 240 V to 120 V. If the primary coil has 100 turns, how many turns does the secondary coil have? (2023)

A. 50 turns
B. 100 turns
C. 200 turns
D. 300 turns

Solution

Using the transformer equation Vp/Vs = Np/Ns, we have 240/120 = 100/Ns, giving Ns = 50 turns.

Correct Answer: A — 50 turns

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Q. A tuning fork produces a sound wave of frequency 440 Hz. What is the period of the wave? (2019)

A. 0.00227 s
B. 0.005 s
C. 0.01 s
D. 0.001 s

Solution

Period T = 1/f = 1/440 Hz ≈ 0.00227 s.

Correct Answer: A — 0.00227 s

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Q. A tuning fork produces a sound wave of frequency 440 Hz. What is the time period of the sound wave?

A. 0.00227 s
B. 0.005 s
C. 0.01 s
D. 0.02 s

Solution

The time period T is the reciprocal of frequency f. Thus, T = 1/f = 1/440 ≈ 0.00227 s.

Correct Answer: A — 0.00227 s

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Q. A tuning fork produces a sound wave of frequency 440 Hz. What is the time period of this sound wave? (2021)

A. 0.00227 s
B. 0.0045 s
C. 0.01 s
D. 0.005 s

Solution

Time period (T) = 1/f = 1/440 Hz ≈ 0.00227 s.

Correct Answer: A — 0.00227 s

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Q. A tuning fork produces a sound wave of frequency 440 Hz. What is the wavelength of the sound in air (speed of sound = 340 m/s)? (2021)

A. 0.77 m
B. 0.85 m
C. 0.90 m
D. 1.00 m

Solution

Wavelength λ is given by λ = v/f. Thus, λ = 340 m/s / 440 Hz ≈ 0.77 m.

Correct Answer: A — 0.77 m

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Q. A tuning fork vibrates at a frequency of 440 Hz. What is the time period of the fork? (2020)

A. 0.00227 s
B. 0.0045 s
C. 0.01 s
D. 0.005 s

Solution

Time period T = 1/f = 1/440 Hz ≈ 0.00227 s.

Correct Answer: A — 0.00227 s

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Q. A uniform rod of length L is pivoted at one end and released from rest. What is the angular speed just before it hits the ground? (2019)

A. √(3g/L)
B. √(2g/L)
C. √(g/L)
D. √(4g/L)

Solution

Using conservation of energy, potential energy converts to rotational kinetic energy. Angular speed ω = √(3g/L).

Correct Answer: B — √(2g/L)

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Q. A uniform rod of length L is pivoted at one end and released from rest. What is the angular speed when it reaches the vertical position? (2019)

A. √(3g/L)
B. √(2g/L)
C. √(g/L)
D. √(4g/L)

Solution

Using conservation of energy, potential energy converts to rotational kinetic energy. Angular speed ω = √(3g/L).

Correct Answer: B — √(2g/L)

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Q. A vehicle travels 100 m in 5 seconds. What is its average speed?

A. 10 m/s
B. 15 m/s
C. 20 m/s
D. 25 m/s

Solution

Average speed = total distance / total time = 100 m / 5 s = 20 m/s.

Correct Answer: A — 10 m/s

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Q. A vehicle travels with a uniform speed of 60 km/h. How far will it travel in 2 hours? (2023)

A. 80 km
B. 100 km
C. 120 km
D. 140 km

Solution

Distance = speed * time = 60 km/h * 2 h = 120 km.

Correct Answer: C — 120 km

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Q. A wave has a frequency of 10 Hz and a wavelength of 2 m. What is its speed? (2023)

A. 5 m/s
B. 10 m/s
C. 20 m/s
D. 15 m/s

Solution

The speed v of a wave is given by v = fλ. Therefore, v = 10 Hz * 2 m = 20 m/s.

Correct Answer: C — 20 m/s

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Q. A wave has a frequency of 10 Hz and a wavelength of 5 m. What is its speed? (2020)

A. 50 m/s
B. 10 m/s
C. 2 m/s
D. 5 m/s

Solution

Speed (v) = frequency (f) × wavelength (λ) = 10 Hz × 5 m = 50 m/s.

Correct Answer: A — 50 m/s

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Q. A wave has a frequency of 50 Hz and a speed of 340 m/s. What is its wavelength? (2021)

A. 6.8 m
B. 7.0 m
C. 7.5 m
D. 8.0 m

Solution

Wavelength λ is given by λ = v/f. Thus, λ = 340 m/s / 50 Hz = 6.8 m.

Correct Answer: A — 6.8 m

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Q. A wave has a frequency of 500 Hz and a wavelength of 0.6 m. What is the speed of the wave? (2022)

A. 300 m/s
B. 500 m/s
C. 600 m/s
D. 400 m/s

Solution

Using the wave equation v = fλ, we find v = 500 Hz * 0.6 m = 300 m/s.

Correct Answer: A — 300 m/s

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Q. A wave has a frequency of 60 Hz and a wavelength of 1.5 m. What is its speed? (2022)

A. 90 m/s
B. 60 m/s
C. 40 m/s
D. 30 m/s

Solution

Speed (v) = frequency (f) × wavelength (λ) = 60 Hz × 1.5 m = 90 m/s.

Correct Answer: A — 90 m/s

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Q. A wave has a frequency of 60 Hz and a wavelength of 3 m. What is its speed? (2016)

A. 180 m/s
B. 120 m/s
C. 60 m/s
D. 90 m/s

Solution

Speed v = f × λ = 60 Hz × 3 m = 180 m/s.

Correct Answer: A — 180 m/s

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Q. A wave has a frequency of 60 Hz and a wavelength of 3 m. What is the speed of the wave?

A. 180 m/s
B. 120 m/s
C. 60 m/s
D. 30 m/s

Solution

The speed v of a wave is given by v = fλ. Thus, v = 60 * 3 = 180 m/s.

Correct Answer: B — 120 m/s

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Q. A wave has a speed of 300 m/s and a frequency of 150 Hz. What is its wavelength? (2022)

A. 1 m
B. 2 m
C. 3 m
D. 4 m

Solution

Wavelength λ can be calculated using the formula λ = v/f. Therefore, λ = 300 m/s / 150 Hz = 2 m.

Correct Answer: B — 2 m

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Q. A wave has a wavelength of 0.5 m and a frequency of 300 Hz. What is its speed? (2020)

A. 150 m/s
B. 300 m/s
C. 600 m/s
D. 1200 m/s

Solution

Speed (v) = frequency (f) × wavelength (λ) = 300 Hz × 0.5 m = 150 m/s.

Correct Answer: A — 150 m/s

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Q. A wave on a string has a frequency of 10 Hz and a wavelength of 2 m. What is the speed of the wave? (2022)

A. 5 m/s
B. 10 m/s
C. 15 m/s
D. 20 m/s

Solution

Wave speed v is given by v = fλ. Thus, v = 10 Hz * 2 m = 20 m/s.

Correct Answer: B — 10 m/s

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Q. A wave on a string has a frequency of 60 Hz and a wavelength of 0.5 m. What is the speed of the wave? (2021)

A. 30 m/s
B. 60 m/s
C. 120 m/s
D. 15 m/s

Solution

Speed (v) = Frequency (f) × Wavelength (λ) = 60 Hz × 0.5 m = 30 m/s.

Correct Answer: C — 120 m/s

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Q. A wave on a string has a speed of 50 m/s and a wavelength of 2 m. What is its frequency? (2018)

A. 25 Hz
B. 50 Hz
C. 100 Hz
D. 75 Hz

Solution

Frequency f = v/λ = 50 m/s / 2 m = 25 Hz.

Correct Answer: A — 25 Hz

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Q. A wave on a string is described by the equation y(x, t) = 0.05 sin(2π(0.1x - 5t)). What is the amplitude of the wave?

A. 0.01 m
B. 0.05 m
C. 0.1 m
D. 0.2 m

Solution

The amplitude of the wave is the coefficient in front of the sine function. Here, the amplitude is 0.05 m.

Correct Answer: B — 0.05 m

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Q. A wave pulse travels along a string and reflects off a fixed end. What happens to the wave upon reflection? (2021)

A. It inverts
B. It remains unchanged
C. It doubles in amplitude
D. It disappears

Solution

When a wave pulse reflects off a fixed end, it inverts due to the boundary condition at the fixed end.

Correct Answer: A — It inverts

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Q. A wave traveling along a string has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave? (2020)

A. 25 m/s
B. 50 m/s
C. 100 m/s
D. 75 m/s

Solution

Speed (v) = frequency (f) × wavelength (λ) = 50 Hz × 2 m = 100 m/s.

Correct Answer: C — 100 m/s

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MHT-CET

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