JEECUP 2026 Group A Polytechnic Question Paper: Download Answer Key with Solutions

A body is moving with a constant speed \(v\) in a circular path of radius \(r\). The magnitude of average velocity after half a revolution is:

• (A) \(\frac{2v}{\pi}\)
• (B) \(v\)
• (C) \(\frac{v}{\pi}\)
• (D) zero

Which of the following is the most electronegative element?

• (A) Fluorine
• (B) Chlorine
• (C) Oxygen
• (D) Nitrogen

If \(\alpha\) and \(\beta\) are the roots of \(x^2-5x+6=0\), the value of \(\alpha^2+\beta^2\) is:

• (A) 13
• (B) 25
• (C) 10
• (D) 15

The focal length of a concave mirror is 20 cm. The distance at which an object should be placed to get a real image of same size is:

• (A) 10 cm
• (B) 20 cm
• (C) 40 cm
• (D) 30 cm

What is the common name of \(CH_3COOH\)?

• (A) Acetic acid
• (B) Formic acid
• (C) Oxalic acid
• (D) Citric acid

The value of \(\sin^2 30^\circ + \cos^2 30^\circ\) is:

• (A) 1
• (B) 0
• (C) 0.5
• (D) \(\sqrt{3}\)

A current of 5 A flows through a wire for 10 minutes. The total charge passed is:

• (A) 500 C
• (B) 50 C
• (C) 300 C
• (D) 3000 C

Which gas is liberated when an acid reacts with a metal?

• (A) Hydrogen
• (B) Oxygen
• (C) Carbon dioxide
• (D) Nitrogen

The sum of the first 10 terms of an AP with \(a=2\) and \(d=3\) is:

• (A) 155
• (B) 145
• (C) 165
• (D) 150

An object of 10 kg at a height of 5 m has potential energy (\(g = 9.8\,m/s^2\)):

• (A) 49 J
• (B) 500 J
• (C) 490 J
• (D) 980 J

Which of these is a saturated hydrocarbon?

• (A) Ethane
• (B) Ethene
• (C) Ethyne
• (D) Benzene

If the radius of a circle is doubled, its area becomes:

• (A) Four times
• (B) Double
• (C) Eight times
• (D) Remains same

The SI unit of power is:

• (A) Watt
• (B) Joule
• (C) Newton
• (D) Pascal

Which non-metal is liquid at room temperature?

• (A) Mercury
• (B) Bromine
• (C) Iodine
• (D) Carbon

Probability of getting a number \(>4\) on a fair die is:

• (A) \( \frac{1}{2} \)
• (B) \( \frac{1}{3} \)
• (C) \( \frac{1}{6} \)
• (D) \( \frac{2}{3} \)

The perimeter of an equilateral triangle whose area is \(4\sqrt{3}\,cm^2\) is equal to

• (A) \(20\) cm
• (B) \(10\) cm
• (C) \(15\) cm
• (D) \(12\) cm

\(\tan3A-\tan2A\cdot\tan A\) is equal to

• (A) \(\tan3A-\tan2A-\tan A\)
• (B) \(\tan3A+\tan2A+\tan A\)
• (C) \(\tan3A-\tan2A-\tan A\)
• (D) None of these

The value of \(\sqrt[5]{\dfrac{72.9}{0.4096}}\) is

• (A) \(5.625\)
• (B) None of these
• (C) \(5.652\)
• (D) \(5.265\)

If \(7\) is the mean of \(5,3,0.5,4.5,a,8.5,9.5\), then the value of \(a\) is

• (A) \(49\)
• (B) \(18\)
• (C) \(31\)
• (D) \(12\)

The value of \(\sin\theta+\cos(90^\circ+\theta)+\sin(180^\circ-\theta)+\sin(180^\circ+\theta)\) is

• (A) \(0\)
• (B) \(-1\)
• (C) \(1\)
• (D) \(\frac12\)

One proton enters a magnetic field of intensity \[ 2500\ \text{N}\,\text{A}^{-1}\,\text{m}^{-1} \] with a velocity of \[ 4\times10^5\ \text{m s}^{-1} \] parallel to the magnetic field. The force exerted on the proton will be:

• (A) \(0\,N\)
• (B) \(4.8\times10^{-10}\,N\)
• (C) \(0.48\times10^{-10}\,N\)
• (D) \(4.8\times10^{10}\,N\)

\(100\,g\) of water at \(60^\circ C\) is added to \(180\,g\) of water at \(95^\circ C\). The resultant temperature of mixture is

• (A) \(80^\circ C\)
• (B) \(82.5^\circ C\)
• (C) \(77.5^\circ C\)
• (D) \(85^\circ C\)

Two unlike parallel forces \(2\,N\) and \(16\,N\) act at the ends of a uniform rod of length \(21\,cm\). The point where the resultant acts is at a distance of ____ from the greater force.

• (A) \(4\,cm\)
• (B) \(3\,cm\)
• (C) \(2\,cm\)
• (D) \(1\,cm\)

Magnetic flux of a \(20\) turn coil is reduced to zero from \(0.3\,Wb\) in one second. The induced e.m.f. between the terminals of the coil is

• (A) \(1.5\,V\)
• (B) \(6\,V\)
• (C) \(2.5\,V\)
• (D) \(3\,V\)

The electric field strength at a point in an electric field is \(30\,N/C\). Find the force experienced by a charge of \(20\,C\) at that point.

• (A) \(600\,N\)
• (B) \(30\,N\)
• (C) \(20\,N\)
• (D) \(300\,N\)

Electronic configuration of copper can be represented as

• (A) \([\mathrm{Ar}]\,4s^1\,3d^{10}\)
• (B) \([\mathrm{Ar}]\,4s^2\,3d^9\)
• (C) \([\mathrm{Ar}]\,4s^2\,3d^9\,4p^1\)
• (D) \([\mathrm{Ar}]\,4s^2\,3d^{10}\,4p^1\)

Which among the following pairs are not having same number of total electrons?

• (A) \(\mathrm{Na}^+\) and \(\mathrm{Al}^{3+}\)
• (B) \(\mathrm{O}^{2-}\) and \(\mathrm{F}^{-}\)
• (C) \(\mathrm{Mg}^{2+}\) and \(\mathrm{Ar}\)
• (D) \(\mathrm{P}^{3-}\) and \(\mathrm{Ar}\)

The half life period of a radioactive element is \(150\) days. After \(600\) days \(1\,g\) of the element will be reduced to

• (A) \(\frac{1}{32}\,g\)
• (B) \(\frac{15}{16}\,g\)
• (C) \(\frac{1}{8}\,g\)
• (D) \(\frac{1}{16}\,g\)

The number of molecules present in \(2.8\,g\) of nitrogen is

• (A) \(6.023\times10^{22}\)
• (B) \(6.023\times10^{21}\)
• (C) \(6.023\times10^{20}\)
• (D) \(6.023\times10^{23}\)

The common name of 2-Butanone is

• (A) Acetone
• (B) Butyraldehyde
• (C) Acetic anhydride
• (D) Ethyl Methyl Ketone