JEE Main Physics Mock Test -1
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Jee Main Physics Mock Test -1
Total Questions: 20
Total Marks: 80
Duration: 48 Minutes
- Correct Answer : 4 Marks
- Wrong Answer: -1 Mark
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Question 1 of 20
1. Question
A projectile is thrown with an initial velocity of $20\,m/s$ at an angle of $30^\circ$ with the horizontal. What is the maximum height it reaches? (Take $g = 10\,m/s^2$)
Correct
The maximum height is given by $H = \frac{u^2 \sin^2\theta}{2g}$. Here, $u = 20\,m/s$, $\sin30^\circ = 0.5$, and $g = 10\,m/s^2$. Thus, $H = \frac{(20)^2 (0.5)^2}{2(10)} = 2.5\,m$.
Incorrect
The maximum height is given by $H = \frac{u^2 \sin^2\theta}{2g}$. Here, $u = 20\,m/s$, $\sin30^\circ = 0.5$, and $g = 10\,m/s^2$. Thus, $H = \frac{(20)^2 (0.5)^2}{2(10)} = 2.5\,m$.
Unattempted
The maximum height is given by $H = \frac{u^2 \sin^2\theta}{2g}$. Here, $u = 20\,m/s$, $\sin30^\circ = 0.5$, and $g = 10\,m/s^2$. Thus, $H = \frac{(20)^2 (0.5)^2}{2(10)} = 2.5\,m$.
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Question 2 of 20
2. Question
The work done by a force $F$ over a displacement $d$ at an angle $\theta$ to the displacement is:
Correct
Work done is given by $W = F d \cos\theta$.
Incorrect
Work done is given by $W = F d \cos\theta$.
Unattempted
Work done is given by $W = F d \cos\theta$.
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Question 3 of 20
3. Question
A body of mass $5\,kg$ is moving with a velocity of $10\,m/s$. What is its kinetic energy?
Correct
Kinetic energy is given by $KE = \frac{1}{2} m v^2$. Substituting $m = 5\,kg$ and $v = 10\,m/s$, we get $KE = \frac{1}{2} (5) (10)^2 = 250\,J$.
Incorrect
Kinetic energy is given by $KE = \frac{1}{2} m v^2$. Substituting $m = 5\,kg$ and $v = 10\,m/s$, we get $KE = \frac{1}{2} (5) (10)^2 = 250\,J$.
Unattempted
Kinetic energy is given by $KE = \frac{1}{2} m v^2$. Substituting $m = 5\,kg$ and $v = 10\,m/s$, we get $KE = \frac{1}{2} (5) (10)^2 = 250\,J$.
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Question 4 of 20
4. Question
Which of the following is the unit of electrical resistance?
Correct
The SI unit of electrical resistance is the ohm ($\Omega$).
Incorrect
The SI unit of electrical resistance is the ohm ($\Omega$).
Unattempted
The SI unit of electrical resistance is the ohm ($\Omega$).
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Question 5 of 20
5. Question
The time period of a simple pendulum is given by:
Correct
The time period of a simple pendulum is $T = 2\pi\sqrt{\frac{l}{g}}$, where $l$ is the length of the pendulum and $g$ is the acceleration due to gravity.
Incorrect
The time period of a simple pendulum is $T = 2\pi\sqrt{\frac{l}{g}}$, where $l$ is the length of the pendulum and $g$ is the acceleration due to gravity.
Unattempted
The time period of a simple pendulum is $T = 2\pi\sqrt{\frac{l}{g}}$, where $l$ is the length of the pendulum and $g$ is the acceleration due to gravity.
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Question 6 of 20
6. Question
Which physical quantity is conserved in elastic collisions?
Correct
In elastic collisions, both momentum and kinetic energy are conserved.
Incorrect
In elastic collisions, both momentum and kinetic energy are conserved.
Unattempted
In elastic collisions, both momentum and kinetic energy are conserved.
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Question 7 of 20
7. Question
The acceleration due to gravity on the Moon is approximately:
Correct
The acceleration due to gravity on the Moon is about $1/6$th of that on Earth, which is approximately $1.6\,m/s^2$.
Incorrect
The acceleration due to gravity on the Moon is about $1/6$th of that on Earth, which is approximately $1.6\,m/s^2$.
Unattempted
The acceleration due to gravity on the Moon is about $1/6$th of that on Earth, which is approximately $1.6\,m/s^2$.
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Question 8 of 20
8. Question
The dimensional formula for force is:
Correct
Force $F = ma$, where $m$ is mass and $a$ is acceleration. Thus, $F = MLT^{-2}$.
Incorrect
Force $F = ma$, where $m$ is mass and $a$ is acceleration. Thus, $F = MLT^{-2}$.
Unattempted
Force $F = ma$, where $m$ is mass and $a$ is acceleration. Thus, $F = MLT^{-2}$.
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Question 9 of 20
9. Question
The wavelength of light that produces constructive interference in Young’s double-slit experiment is:
Correct
Constructive interference occurs when the path difference is an integer multiple of the wavelength, i.e., $n\lambda$.
Incorrect
Constructive interference occurs when the path difference is an integer multiple of the wavelength, i.e., $n\lambda$.
Unattempted
Constructive interference occurs when the path difference is an integer multiple of the wavelength, i.e., $n\lambda$.
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Question 10 of 20
10. Question
In a series LCR circuit at resonance, the impedance is:
Correct
At resonance, the impedance of an LCR circuit is purely resistive, equal to the resistance $R$.
Incorrect
At resonance, the impedance of an LCR circuit is purely resistive, equal to the resistance $R$.
Unattempted
At resonance, the impedance of an LCR circuit is purely resistive, equal to the resistance $R$.
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Question 11 of 20
11. Question
The potential difference across a capacitor is proportional to:
Correct
The potential difference $V$ across a capacitor is proportional to the charge $Q$, given by $V = Q/C$.
Incorrect
The potential difference $V$ across a capacitor is proportional to the charge $Q$, given by $V = Q/C$.
Unattempted
The potential difference $V$ across a capacitor is proportional to the charge $Q$, given by $V = Q/C$.
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Question 12 of 20
12. Question
In a transformer, the ratio of the number of turns in the secondary to primary coil determines:
Correct
The voltage transformation ratio is determined by $\frac{V_s}{V_p} = \frac{N_s}{N_p}$.
Incorrect
The voltage transformation ratio is determined by $\frac{V_s}{V_p} = \frac{N_s}{N_p}$.
Unattempted
The voltage transformation ratio is determined by $\frac{V_s}{V_p} = \frac{N_s}{N_p}$.
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Question 13 of 20
13. Question
The escape velocity from the Earth’s surface is approximately:
Correct
Escape velocity is $v_e = \sqrt{2gR}$, which is approximately $11.2\,km/s$ for Earth.
Incorrect
Escape velocity is $v_e = \sqrt{2gR}$, which is approximately $11.2\,km/s$ for Earth.
Unattempted
Escape velocity is $v_e = \sqrt{2gR}$, which is approximately $11.2\,km/s$ for Earth.
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Question 14 of 20
14. Question
Which phenomenon is responsible for the twinkling of stars?
Correct
The twinkling of stars is caused by atmospheric refraction of starlight.
Incorrect
The twinkling of stars is caused by atmospheric refraction of starlight.
Unattempted
The twinkling of stars is caused by atmospheric refraction of starlight.
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Question 15 of 20
15. Question
A semiconductor has electrical conductivity that is:
Correct
The conductivity of a semiconductor lies between that of a conductor and an insulator.
Incorrect
The conductivity of a semiconductor lies between that of a conductor and an insulator.
Unattempted
The conductivity of a semiconductor lies between that of a conductor and an insulator.
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Question 16 of 20
16. Question
The force between two charges is given by Coulomb’s law. If the distance is doubled, the force becomes:
Correct
Force $F \propto \frac{1}{r^2}$. If distance $r$ is doubled, $F$ becomes $\frac{1}{4}$th.
Incorrect
Force $F \propto \frac{1}{r^2}$. If distance $r$ is doubled, $F$ becomes $\frac{1}{4}$th.
Unattempted
Force $F \propto \frac{1}{r^2}$. If distance $r$ is doubled, $F$ becomes $\frac{1}{4}$th.
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Question 17 of 20
17. Question
Which of the following is not an electromagnetic wave?
Correct
Sound waves are mechanical and not electromagnetic.
Incorrect
Sound waves are mechanical and not electromagnetic.
Unattempted
Sound waves are mechanical and not electromagnetic.
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Question 18 of 20
18. Question
Which of the following quantities has a unit of $N/m^2$?
Correct
Pressure is defined as force per unit area, and its SI unit is $N/m^2$.
Incorrect
Pressure is defined as force per unit area, and its SI unit is $N/m^2$.
Unattempted
Pressure is defined as force per unit area, and its SI unit is $N/m^2$.
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Question 19 of 20
19. Question
The dimensional formula of Planck’s constant is:
Correct
Planck’s constant $h$ has the dimensions of $[ML^2T^{-1}]$.
Incorrect
Planck’s constant $h$ has the dimensions of $[ML^2T^{-1}]$.
Unattempted
Planck’s constant $h$ has the dimensions of $[ML^2T^{-1}]$.
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Question 20 of 20
20. Question
What is the total resistance of two resistors, 4 Ω and 6 Ω, connected in series?
Correct
In series connection, $R_{total} = R_1 + R_2$. Hence, $R_{total} = 4 + 6 = 10 \Omega$.
Incorrect
In series connection, $R_{total} = R_1 + R_2$. Hence, $R_{total} = 4 + 6 = 10 \Omega$.
Unattempted
In series connection, $R_{total} = R_1 + R_2$. Hence, $R_{total} = 4 + 6 = 10 \Omega$.