JEE Main 2022 Question Paper (27-Jul-2022) (Shift 1)

Question 1

A torque meter is calibrated to reference standards of mass, length, and time each with $5\%$ accuracy. After calibration, the measured torque with this torque meter will have a net accuracy of

Accepted Answer

$25\%$

Answer

$15\%$

Answer

$75\%$

Answer

$5\%$

Question 2

A bullet is shot vertically downwards with an initial velocity of $100 \ \mathrm{m} \ \mathrm{s}^{-1}$ from a certain height. Within $10 \ \mathrm{s}$, the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collision. The velocity-time curve for total time $t = 20 \ \mathrm{s}$ will be: (Take $g = 10 \ \mathrm{m} \ \mathrm{s}^{-2}$)

Accepted Answer

""

Answer

Answer

Answer

Question 3

Sand is being dropped from a stationary dropper at a rate of $0.5 \ \mathrm{kg} \ \mathrm{s}^{-1}$ on a conveyor belt moving with a velocity of $5 \ \mathrm{m} \ \mathrm{s}^{-1}$. The power needed to keep the belt moving with the same velocity will be

Accepted Answer

$12.5 \quad \mathrm{W}$

Answer

$1.25 \quad \mathrm{W}$

Answer

$2.5 \quad \mathrm{W}$

Answer

$6.25 \quad \mathrm{W}$

Question 4

A bag is gently dropped on a conveyor belt moving at a speed of $2 \ \mathrm{m} \ \mathrm{s}^{-1}$. The coefficient of friction between the conveyor belt and the bag is $0.4$. Initially, the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during the slipping motion is: [Take $g = 10 \ \mathrm{m} \ \mathrm{s}^{-2}$]

Accepted Answer

$0.5 \quad \mathrm{m}$

Answer

$2 \quad \mathrm{m}$

Answer

$3.2 \quad \mathrm{m}$

Answer

$0.8\quad \mathrm{ms}$

Question 5

Two cylindrical vessels of equal cross-sectional area $16\, \mathrm{cm}^2$ contain water up to heights $100\, \mathrm{cm}$ and $150\, \mathrm{cm}$ respectively. The vessels are interconnected so that the water levels in them become equal. The work done by the force of gravity during the process is [Take density of water $= 10^{3}\, \mathrm{kg\, m}^{-3}$ and $g = 10\, \mathrm{m\, s}^{-2}$].

Accepted Answer

$1 \quad \mathrm{J}$

Answer

$0.25 \quad \mathrm{J}$

Answer

$8 \quad \mathrm{J}$

Answer

$12 \quad \mathrm{J}$