Yakeen NEET 3.0 (2024) Units and Dimensions DPP-03 PDF

1 Yakeen NEET 3.0 (2024) Units and Dimensions DPP-03 1....

1 Yakeen NEET 3.0 (2024) Units and Dimensions DPP-03 1. The dimensions of physical quantity X in the 6. The time dependence of a physical quantity p is X given by p = p0 exp (t2), where  is a constant equation Force = is given by Density and t is the time. The constant  (1) [M1L4T–2] (1) is dimensionless (2) [M2L–2T–1] (2) has dimensions [T–2] (3) [M2L–2T–2] (3) has dimensions [T2] (4) [M1L–2T–1] (4) has dimensions of p 2. Which of the following is not a dimensionless 7. The velocity u of particles is given in terms of time b physical quantity? t by the equation u = at + 2. (1) coefficient of friction t +c (2) strain The dimension of a, b and c are: (3) Stress (4) Ratio of wavelength of two wave (1) L2, T, LT2 (2) LT2, LT, L (3) LT–2, LT, T2 (4) L, LT, T2 3. A force F is given by F = at + bt2, where t is time. What are the dimensions of a and b 8. The potential energy U of a particle varies with (1) [MLT–3 and ML2T–4] A x distance x from a fixed origin as U = where (2) [MLT–3 and LMT–4] x2 + B (3) [MLT–1 and MLT0] A and B are dimensional constants. The (4) [MLT–4 and MLT1] dimensional formula for AB is (1) M1L7/2T–2 (2) M1L11/2T–2 4. The dimension of the ratio of angular to linear (3) M1L5/2T–2 (4) M1L9/2T–2 momentum is (1) [M0L1T0] 9. Velocity of object is given as a function of time (2) [M1L1T–1] and position. (3) [M1L2T–1] V = t + x +  (4) [M–1L–1T–1] then dimension of ,  and  are (1) LT–2, T–1, LT–2 (2) LT–2, T–1, LT–1 5. The force F is given in terms of time t and (3) LT–1, LT–2, T–1 (4) LT–1, L, T displacement x by the equation F = A cos Bx + C sin Dt. 10. If E, M, J and G denote energy, mass, angular Then the dimensions of D/B are EJ 2 (1) M0L0T0 momentum and gravitational constant then M 5G 2 (2) M0L0T–1 has the dimensions of (3) M0L–1T0 (1) length (2) angle (4) M0L1T–1 (3) mass (4) time  2 Note: Kindly find the Video Solution of DPPs Questions in the DPPs Section. Answer Key 1. (3) 6. (2) 2. (3) 7. (3) 3. (2) 8. (2) 4. (1) 9. (2) 5. (4) 10. (2) PW Web/App - https://smart.link/7wwosivoicgd4 Library- https://smart.link/sdfez8ejd80if