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2026 30 questions

Q262026 · 8 Apr 2026 · Shift 2
A new unit ( $α$ ) of length is chosen such that it is equal to the speed of light in vacuum. What is the distance between Venus and Earth in terms of $α$ units if light takes 6 min. 40 s to cover this distance ?
1. A. $200 α$
2. B. $400 α$
3. C. $300 α$
4. D. $500 α$
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Answer: B
Q292026 · 8 Apr 2026 · Shift 2
A gas balloon is going up with a constant velocity of $10 m/s$ . When this balloon reached a height of $75 m$ , a stone is dropped from it and balloon keeps moving up with the same velocity. The height of the balloon when the stone hits the ground is ____ $m$ . (Take $g = 10 m/ s^{2}$ )
1. A. $85$
2. B. $150$
3. C. $129$
4. D. $125$
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Answer: D
Q422026 · 8 Apr 2026 · Shift 2
1. A. $1.6$
2. B. $0.16$
3. C. $11.6$
4. D. $16$
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Answer: A
Q502026 · 8 Apr 2026 · Shift 2· Numerical answer
Two masses of $3.4 kg$ and $2.5 kg$ are accelerated from an initial speed of $5 m/s$ and $12 m/s$ , respectively. The distances traversed by the masses in the $5^{th}$ second are $104 m$ and $129 m$ , respectively. The ratio of their momenta after $10 s$ is $\frac{x}{8}$ . The value of $x$ is ____ .
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Answer: 9
Q402026 · 6 Apr 2026 · Shift 1
A point light source emits E.M. waves in free space. A detector, placed at a distance of $L m$ , measures the intensity as $I_{o}$ . The detector is now shifted to another location on the same spherical surface ensuring the angle between original location and new location as $4 5^{\circ}$ . The measured intensity at new location will be ____.
1. A. $\frac{I _{o}}{4}$
2. B. $I_{o}$
3. C. $\frac{I _{o}}{2}$
4. D. $\frac{I _{o}}{2}$
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Answer: B
Q422026 · 6 Apr 2026 · Shift 1
A small cube of side $1 mm$ is placed at the centre of a circular loop of radius $10 cm$ carrying a current of $2 A$ . The magnetic energy stored inside the cube is $α \times 1 0^{- 14} J$ . The value of $α$ is ____. ( $μ_{o} = 4 π \times 1 0^{- 7} Tm/A$ , $π = 3.14$ )
1. A.6.28
2. B. $6.28 \times 1 0^{- 6}$
3. C.628
4. D. $6.28 \times 1 0^{- 4}$
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Answer: A
Q352026 · 6 Apr 2026 · Shift 2
If $2 mole$ of an ideal monoatomic gas at temperature $T$ , is mixed with $6 mole$ of another ideal monoatomic gas at temperature $2 T$ then the temperature of mixture is :
1. A. $\frac{5}{2} T$
2. B. $\frac{5}{4} T$
3. C. $\frac{7}{2} T$
4. D. $\frac{7}{4} T$
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Answer: D
Q282026 · 5 Apr 2026 · Shift 1
When one moves from a point $16 km$ below the earth's surface to a point $16 km$ above the earth's surface. The change in $g$ is approximately $α %$ . The value of $α$ is ____. (Take radius of the earth $= 6400 km$ .)
1. A.0.12
2. B.0.25
3. C.0.50
4. D.0.75
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Answer: B
Q342026 · 5 Apr 2026 · Shift 1
1. A. $I_{1} = 2.5 A$ , $I_{2} = 1.875 A$ , $I_{3} = 1.875 A$
2. B. $I_{1} = 1.875 A$ , $I_{2} = 2.5 A$ , $I_{3} = 1.875 A$
3. C. $I_{1} = 1.875 A$ , $I_{2} = 1.875 A$ , $I_{3} = 2.5 A$
4. D. $I_{1} = 2.5 A$ , $I_{2} = 2.5 A$ , $I_{3} = 1.875 A$
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Answer: A
Q382026 · 5 Apr 2026 · Shift 1
1. A.12.5
2. B.1.25
3. C.7.5
4. D.5
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Answer: B
Q272026 · 4 Apr 2026 · Shift 2
Two cars $A$ and $B$ are moving in the same direction along a straight line with speeds $100 km/h$ and $80 km/h$ , respectively such that car $A$ is moving ahead of car $B$ . A person in car $B$ throws a stone with a speed $v$ so that it hits the car $A$ with a speed of $5 m/s$ . The value of $v$ is ____ $km/h$ .
1. A.18
2. B.28
3. C.38
4. D.48
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Answer: C
Q282026 · 4 Apr 2026 · Shift 2
At $t = 0$ , a body of mass $100 g$ starts moving under the influence of a force $(5 \hat{i} + 10 \hat{j}) N$ . After $2 s$ its position is $(2 x \hat{i} + 5 y \hat{j}) m$ . The ratio $x : y$ is ____.
1. A. $1 : 2$
2. B. $2 : 5$
3. C. $5 : 2$
4. D. $5 : 4$
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Answer: D
Q302026 · 4 Apr 2026 · Shift 2
The height in terms of radius of the earth ( $R$ ), at which the acceleration due to gravity becomes $\frac{g}{9}$ , where $g$ is acceleration due to gravity on earth's surface, is ____.
1. A. $3 R$
2. B. $22 R$
3. C. $2 R$
4. D. $\frac{4}{9} R$
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Answer: C
Q322026 · 4 Apr 2026 · Shift 2
A water spray gun is attached to a hose of cross sectional area $30 c m^{2}$ . The gun comprises of 10 perforations each of cross sectional area of $15 m m^{2}$ . If the water flows in the hose with the speed of $50 cm/s$ , calculate the speed at which the water flows out from each perforation. (Neglect any edge effects)
1. A. $100 m/s$
2. B. $10 m/s$
3. C. $1000 m/s$
4. D. $15 \times 1 0^{2} m/s$
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Answer: B
Q472026 · 4 Apr 2026 · Shift 2· Numerical answer
A gun mounted on the ground fires bullets in all directions with same speed. The farthest distance the bullets could reach is $6.4 m$ . The speed of the bullets from the gun is ____ $m/s$ . (take $g = 10 m/ s^{2}$ )
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Answer: 8
Q282026 · 2 Apr 2026 · Shift 1
The velocity of a particle is given as $v = - x \hat{i} + 2 y \hat{j} - z \hat{k} m/s$ . The magnitude of acceleration at point $(1, 2, 4)$ is ____ $m/ s^{2}$ .
1. A. $6$
2. B.9
3. C. $33$
4. D.0
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Answer: B
Q362026 · 2 Apr 2026 · Shift 2
A spherical ball of mass $2 kg$ falls from a height of $10 m$ and is brought to rest after penetrating $10 cm$ into sand. The average force exerted by sand on the ball is ____ $N$ . (Take $g = 10 m/ s^{2}$ )
1. A.1980
2. B.2020
3. C.2000
4. D.1000
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Answer: B
Q452026 · 2 Apr 2026 · Shift 2
The equation of motion of a particle is given by $x = a sin (50 t + π /3) cm$ . The particle will come to rest at time $t_{1}$ and it will have zero acceleration at time $t_{2}$ . The $t_{1}$ and $t_{2}$ respectively are ____.
1. A. $\frac{π}{300} s, \frac{π}{75} s$
2. B. $\frac{π}{75} s, \frac{π}{300} s$
3. C. $\frac{π}{300} s, \frac{π}{25} s$
4. D. $\frac{π}{50} s, \frac{π}{100} s$
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Answer: A
Q312026 · 28 Jan 2026 · Shift 1
1. A.
2. B.
3. C.
4. D.
Show answer
Answer: D
Q352026 · 28 Jan 2026 · Shift 1
1. A. $6 \times 1 0^{- 6} N$ towards $P$
2. B. $6 \times 1 0^{- 6} N$ towards $R$
3. C. $6 \times 1 0^{- 7} N$ towards $P$
4. D. $6 \times 1 0^{- 7} N$ towards $R$
Show answer
Answer: B
Q382026 · 28 Jan 2026 · Shift 1
Water drops fall from a tap on the floor, $5 m$ below, at regular intervals of time, the first drop strikes the floor when the sixth drop begins to fall. The height at which the fourth drop will be from ground, at the instant when the first drop strikes the ground is ____ $m$ . ( $g = 10 m/ s^{2}$ )
1. A.3.8
2. B.4.0
3. C.4.2
4. D.2.5
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Answer: C
Q262026 · 28 Jan 2026 · Shift 2
Which one of the following is not a measurable quantity?
1. A.Resistance
2. B.Voltage difference
3. C.Displacement current
4. D.Voltage
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Answer: D
Q312026 · 28 Jan 2026 · Shift 2
When the position vector $r = x \hat{i} + y \hat{j} + z \hat{k}$ changes sign as $- r$ , which one of the following vector will not flip under sign change?
1. A.Velocity
2. B.Linear momentum
3. C.Acceleration
4. D.Angular momentum
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Answer: D
Q402026 · 28 Jan 2026 · Shift 2
A particle starts moving from time $t = 0$ and its coordinate is given as $x (t) = 4 t^{3} - 3 t$ A. The particle returns to its original position (origin) 0.866 units later B. The particle is 1 unit away from origin at its turning point C. Acceleration of the particle is non-negative D. The particle is 0.5 units away from origin at its turning point E. Particle never turns back as acceleration is non-negative Choose the correct answer from the options given below :
1. A.A, C, D Only
2. B.A, B, C Only
3. C.C, E Only
4. D.A, C Only
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Answer: B
Q342026 · 24 Jan 2026 · Shift 1
Two electrons are moving in orbits of two hydrogen like atoms with speeds $3 \times 1 0^{5} m/s$ and $2.5 \times 1 0^{5} m/s$ respectively. If the radii of these orbits are nearly same then the possible order of energy states are ____ respectively.
1. A.8 and 10
2. B.10 and 12
3. C.9 and 8
4. D.6 and 5
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Answer: D