NTA JEE Mains 24th Jan 2026 Shift 1

Instructions

For the following questions answer them individually

NTA JEE Mains 24th Jan 2026 Shift 1 - Question 41


TI1e exit surface of a prism with refractive index n is coated with a material having refractive index $$\frac{n}{2}$$. When this prism is set for minimum angle of deviation, it exactly meets the condition of critical angle. The prism angle is ___ .

NTA JEE Mains 24th Jan 2026 Shift 1 - Question 42


Two resistors of 100Ω each are connected in series with a 9 V batte1y. A voltmeter of 400Ω resistance is connected to measure the voltage drop across one of the resistors. The voltmeter reading is ____ V.

NTA JEE Mains 24th Jan 2026 Shift 1 - Question 43


Given below are tv;o statements:
Statement I: For all elements, greater the mass of the nucleus, greater is the binding energy per nucleon.
Statement II: For all elements, nuclei with less binding energy per nucleon transforms to nuclei with greater binding energy per nucleon.
In the light of the above statements, choose the correct answer from the options given below

NTA JEE Mains 24th Jan 2026 Shift 1 - Question 44


Two masses 400 g and 350 g are suspended from the ends of a light string passing over a heavy pulley of radius 2 cm. When released from rest the heavier mass is observed to fall 81 cm in 9 s. The rotational inertia of the pulley is ___ $$kg.m^{2}$$.$$(g=9.8 m/s^{2})$$

NTA JEE Mains 24th Jan 2026 Shift 1 - Question 45


In a microscope of tube length 1O cm two convex lenses are arranged with focal length of 2 cm and 5 cm. Total magnification obtained with this system for normal adjustment is $$(5)^{k}$$ The value of k is ___.

NTA JEE Mains 24th Jan 2026 Shift 1 - Question 46


In the given figure the blocks A, B and C weigh 4 kg, 6 kg and 8 kg respectively. The co-efficient of sliding friction between any two surfaces is 0.5. The force F required to slide the block C with constant speed is __ N. $$(Use g=10m/s^{2})$$
image

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NTA JEE Mains 24th Jan 2026 Shift 1 - Question 47


A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature 50 °C. The gas is now heated to double its temperature. The modified pressure is __ Pa.

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NTA JEE Mains 24th Jan 2026 Shift 1 - Question 48


A short bar magnet placed with its axis at 30° with an external field of 800 Gauss, experiences a torque of 0.016 N.m. The work done in moving it from most stable to most unstable position is $$\alpha \times 10^{-3}J$$. The value of $$\alpha$$ is ___.

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NTA JEE Mains 24th Jan 2026 Shift 1 - Question 49


Sixty four rain drops of radius 1 mm each falling down w-ith a terminal velocity of 10 cm/s coalesce to fonn a bigger drop. The terminal velocity of bigger drop is_____cm/s

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NTA JEE Mains 24th Jan 2026 Shift 1 - Question 50


A voltage regulating circuit consisting of Zener diode, having break-down voltage of 10 V and maximum power dissipation of 0.4 W, is operated at 15 V. The approximate value of protective resistance in this circuit is ___ Ω.

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