JEE Main 2021 (Online) 27th July Evening Shift | Units & Measurements Question 152 | Physics

A physical quantity 'y' is represented by the formula $$y = {m^2}{r^{ - 4}}{g^x}{l^{ - {3 \over 2}}}$$

If the percentage errors found in y, m, r, l and g are 18, 1, 0.5, 4 and p respectively, then find the value of x and p.

5 and $$\pm$$2

4 and $$\pm$$3

$${{16} \over 3}$$ and $$ \pm {3 \over 2}$$

8 and $$\pm$$ 2

JEE Main 2021 (Online) 27th July Morning Shift

MCQ (Single Correct Answer)

-1

Assertion A : If in five complete rotations of the circular scale, the distance travelled on main scale of the screw gauge is 5 mm and there are 50 total divisions on circular scale, then least count is 0.001 cm.

Reason R :

Least Count = $${{Pitch} \over {Total\,divisions\,on\,circular\,scale}}$$

In the light of the above statements, choose the most appropriate answer from the options given below :

A is not correct but R is correct.

Both A and R are correct and R is the correct explanation of A.

A is correct but R is not correct.

Both A and R are correct and R is NOT the correct explanation of A.

JEE Main 2021 (Online) 25th July Evening Shift

MCQ (Single Correct Answer)

-1

The force is given in terms of time t and displacement x by the equation

F = A cos Bx + C sin Dt

The dimensional formula of $${{AD} \over B}$$ is :

$$[{M^0}L{T^{ - 1}}]$$

$$[M{L^2}{T^{ - 3}}]$$

$$[{M^1}{L^1}{T^{ - 2}}]$$

$$[{M^2}{L^2}{T^{ - 3}}]$$