NTA JEE Mains 28th Jan 2026 Shift 1

Instructions

For the following questions answer them individually

NTA JEE Mains 28th Jan 2026 Shift 1 - Question 31


Which of the following best represents the temperature versus heat supplied graph for water, in the range of - 20 °C to 120 °C ?

NTA JEE Mains 28th Jan 2026 Shift 1 - Question 32


For the two cells having same EMF E and internal resistance r, the current passing through the external resistor 6Ω is same when both the cells are connected either in parallel or in series. The value of internal resistance r is ____ Ω .

NTA JEE Mains 28th Jan 2026 Shift 1 - Question 33


A particle of mass m falls from rest through a resistive medium having resistive force, F = -kv, where v is the velocity of the particle and k is a constant. Which of the following graphs represents velocity (v) versus time (t)?

NTA JEE Mains 28th Jan 2026 Shift 1 - Question 34


The magnetic field at the centre of a current carrying circular loop of radius R is $$16\mu T$$. The magnetic field at a distance $$x = \sqrt{3}R$$ on its axis from the centre is______$$\mu T$$.

NTA JEE Mains 28th Jan 2026 Shift 1 - Question 35


10 kg of ice at -10°C is added to 100 kg of water to lower its temperature from 25°C. Consider no heat exchange to surroundings. The decrement to the temperature of water is _____ °C.
(specific heat of ice= 2100 J/Kg.°C, specific heat of water= 4200 J/Kg.°C, latent heat of fosion of ice $$= 3.36 x 10^{5} J/Kg$$)

NTA JEE Mains 28th Jan 2026 Shift 1 - Question 36


In the following p- V diagram the equation of state along the curved path is given by $$(V-2)^{2}=4ap$$ where a is a constant. The total work done in the closed path is
image

NTA JEE Mains 28th Jan 2026 Shift 1 - Question 37


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.
$$(g=10m/s^{2}$$

NTA JEE Mains 28th Jan 2026 Shift 1 - Question 38


The electric field of an electromagnetic wave travelling through a medimn is given by $$\overrightarrow{E}(x,t)=25\sin(2.0\times 10^{15}t-10^{7}x)\widehat{n}$$ then the refractive index of the medium is______.
(All given measurement are in SI uits)

NTA JEE Mains 28th Jan 2026 Shift 1 - Question 39


The magnitudes of power of a biconvex lens (refractive index 1.5) and that of a piano-concave lens (refractive index = l.7) are same. If the curvature of plano-concave lens exactly matches with the curvature of back surface of the biconvex lens, then ratio of radius of curvature of front and back smface of the biconvex lens is________.

NTA JEE Mains 28th Jan 2026 Shift 1 - Question 40


Assuming in forward bias condition there is a voltage drop of 0.7V across a silicon diode, the current through diode $$D_{1}$$ in the circuit is ___ mA.
(Assume all diodes in the given circuit are identical)
image

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